positive and negative numbers. working with numbers
DESCRIPTION
Positive and Negative Numbers. Working with Numbers. LEARNING OUTCOMES: Identify the value of any digit in a number. Using directed numbers in everyday life. Ordering directed numbers. Adding and subtracting directed numbers. Multiplying and dividing directed numbers. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/1.jpg)
Positive and Negative Numbers.Working with Numbers.
LEARNING OUTCOMES:• Identify the value of any digit in a number.• Using directed numbers in everyday life.• Ordering directed numbers.• Adding and subtracting directed numbers.• Multiplying and dividing directed numbers.
• Addition and subtraction.
• Long multiplication.
• Long division.
![Page 2: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/2.jpg)
Place Value.
Positive and negative numbers.
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
1. Write down the value of the numbers below in the number 3 546 281.
6 ________________________________________
4 ________________________________________
![Page 3: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/3.jpg)
Place Value.
Positive and negative numbers.
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
1. Write down the value of the numbers below in the number 3 546 281.
6 6 000
4 40 000
![Page 4: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/4.jpg)
Place Value.
Positive and negative numbers.
2. Write down the value of the 4 in the number 674 893.
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 5: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/5.jpg)
Place Value.
Positive and negative numbers.
2. Write down the value of the 4 in the number 674 893.
4 000
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 6: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/6.jpg)
Place Value.
Positive and negative numbers.
3. Write down the value of the 7 in the number 278 661.
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 7: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/7.jpg)
Place Value.
Positive and negative numbers.
3. Write down the value of the 7 in the number 278 661.
70 000
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 8: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/8.jpg)
Place Value.
Positive and negative numbers.
4. Write down the value of the 2 in the number 294 803.
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 9: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/9.jpg)
Place Value.
Positive and negative numbers.
4. Write down the value of the 2 in the number 294 803.
200 000
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 10: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/10.jpg)
Place Value.
Positive and negative numbers.
5. Write down the value of the 5 in the number 5 106 782.
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 11: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/11.jpg)
Place Value.
Positive and negative numbers.
5. Write down the value of the 5 in the number 5 106 782.
5 000 000
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 12: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/12.jpg)
Place Value.
Positive and negative numbers.
6. Write the number seventeen thousand, three hundred and fifty two in figures.
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 13: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/13.jpg)
Place Value.
Positive and negative numbers.
6. Write the number seventeen thousand, three hundred and fifty two in figures.
17 352
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 14: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/14.jpg)
Place Value.
Positive and negative numbers.
7. Write the number thirteen thousand, one hundred and seventy six in figures.
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 15: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/15.jpg)
Place Value.
Positive and negative numbers.
7. Write the number thirteen thousand, one hundred and seventy six in figures.
13 176
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 16: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/16.jpg)
Place Value.
Positive and negative numbers.
8. Write the number a quarter of a million in figures.
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 17: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/17.jpg)
Place Value.
Positive and negative numbers.
8. Write the number a quarter of a million in figures.
250 000
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 18: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/18.jpg)
Place Value.
Positive and negative numbers.
9. Write six and a half million in figures.
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 19: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/19.jpg)
Place Value.
Positive and negative numbers.
9. Write six and a half million in figures.
6 500 000
Place value of digits
10 000 000 1 000 000 100 000 10 000 1 000 100 10 1
Tenmillions
Million Hundred thousands
Ten thousands
Thousands Hundreds
Tens Units
![Page 20: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/20.jpg)
Directed Numbers.
Positive and negative numbers.
1. Below you can see the temperature in five towns at midnight.
Town Perth Oldham Oswestry Swansea Wrexham
Temp. °C 6 -6 3 -4 7
a) Which town had the lowest temperature? _________________________
b) What is the difference in temperature between Perth and Swansea? __________
c) By 6am the temperature has risen by 9°C in Swansea. What is the new temperature in Swansea? ________________
d) At 5am the temperature falls by 7°C in Oswestry. What is the newtemperature? ___________________
![Page 21: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/21.jpg)
Directed Numbers.
Positive and negative numbers.
1. Below you can see the temperature in five towns at midnight.
Town Perth Oldham Oswestry Swansea Wrexham
Temp. °C 6 -6 3 -4 7
a) Which town had the lowest temperature? Oldham
b) What is the difference in temperature between Perth and Swansea? 10°C
c) By 6am the temperature has risen by 9°C in Swansea. What is the new temperature in Swansea? 5°C
d) At 5am the temperature falls by 7°C in Oswestry. What is the newtemperature? -4°C
![Page 22: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/22.jpg)
Directed Numbers.
Positive and negative numbers.
2. Susan wrote down the temperature at different times on Christmas day.
Time 1am 4am 8am noon 3pm 7pm
Temp. °C -6 -10 -5 7 5 -3
a) What is the lowest temperature? ______________________________
b) Work out the difference in temperature between 4am and 8am. _____________
c) Work out the difference in temperature between 3pm and 7pm. ______________
d) By 11pm the temperature had fallen by 5°C from its value at 7pm. Work out the temperature at 11pm. ______________________________________
![Page 23: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/23.jpg)
Directed Numbers.
Positive and negative numbers.
2. Susan wrote down the temperature at different times on Christmas day.
Time 1am 4am 8am noon 3pm 7pm
Temp. °C -6 -10 -5 7 5 -3
a) What is the lowest temperature? -10°C
b) Work out the difference in temperature between 4am and 8am. 5°C
c) Work out the difference in temperature between 3pm and 7pm. 8°C
d) By 11pm the temperature had fallen by 5°C from its value at 7pm. Work out the temperature at 11pm. -8°C
![Page 24: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/24.jpg)
Directed Numbers.
Positive and negative numbers.
3. Place these numbers in order of size, smallest first.
5, -6, -10, 2, -4
![Page 25: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/25.jpg)
Directed Numbers.
Positive and negative numbers.
3. Place these numbers in order of size, smallest first.
5, -6, -10, 2, -4
-10, -6, -4, 2, 5
![Page 26: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/26.jpg)
Directed Numbers.
Positive and negative numbers.
4. Place these numbers in order of size, biggest first.
4, -3, 1, -5, -7
![Page 27: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/27.jpg)
Directed Numbers.
Positive and negative numbers.
4. Place these numbers in order of size, biggest first.
4, -3, 1, -5, -7
4, 1, -3, -5, -7
![Page 28: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/28.jpg)
Directed Numbers.
Positive and negative numbers.
5. Place these numbers in order of size, smallest first.
-2, 6, 2, -3, 3
![Page 29: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/29.jpg)
Directed Numbers.
Positive and negative numbers.
5. Place these numbers in order of size, smallest first.
-2, 6, 2, -3, 3
-3, -2, 2, 3, 6
![Page 30: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/30.jpg)
Multiplying and Dividing Directed Numbers.
Positive and negative numbers.
(+) x (+) = +(-) x (-) = +(+) x (-) = -(-) x (+) = -
(+) / (+) = +(-) / (-) = +(+) / (-) = -(-) / (+) = -
1. Work these out without a calculator.
3 x -4
-5 x -6
-20 / 4
4 x 5
-4 x 6
7 x -2
-3 x -4
-4 x -2
7 x -6
-9 x -2
![Page 31: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/31.jpg)
Multiplying and Dividing Directed Numbers.
Positive and negative numbers.
(+) x (+) = +(-) x (-) = +(+) x (-) = -(-) x (+) = -
(+) / (+) = +(-) / (-) = +(+) / (-) = -(-) / (+) = -
1. Work these out without a calculator.
3 x -4 = -12
-5 x -6 = 30
-20 / 4 = -5
4 x 5 = 20
-4 x 6 = -24
7 x -2 = -14
-3 x -4 = 12
-4 x -2 = 8
7 x -6 = -42
-9 x -2 = 18
![Page 32: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/32.jpg)
Multiplying and Dividing Directed Numbers.
Positive and negative numbers.
(+) x (+) = +(-) x (-) = +(+) x (-) = -(-) x (+) = -
(+) / (+) = +(-) / (-) = +(+) / (-) = -(-) / (+) = -
1. Work these out without a calculator.
6 / 2
-10 / 2
15 / -3
24 / -6
-12 / 2
-30 / -10
18 / -3
50 / 10
-5 x 6 x -2
-2 x -3 x -4
![Page 33: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/33.jpg)
Multiplying and Dividing Directed Numbers.
Positive and negative numbers.
(+) x (+) = +(-) x (-) = +(+) x (-) = -(-) x (+) = -
(+) / (+) = +(-) / (-) = +(+) / (-) = -(-) / (+) = -
1. Work these out without a calculator.
6 / 2 = 3
-10 / 2 = -5
15 / -3 = -5
24 / -6 = -4
-12 / 2 = -6
-30 / -10 = 3
18 / -3 = -6
50 / 10 = 5
-5 x 6 x -2 = -30 x -2 = 60
-2 x -3 x -4 = 6 x -4 = -24
![Page 34: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/34.jpg)
Adding and Subtracting Directed Numbers.Positive and negative numbers.
1. Work these out without a calculator.
3 + 4 1 + 3
-3 – 4 -1 – 3
9 – 4 6 – 4
-4 + 9 -4 + 6
2 – 6 3 – 5
-6 + 2 - 5 + 3
![Page 35: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/35.jpg)
Adding and Subtracting Directed Numbers.Positive and negative numbers.
1. Work these out without a calculator.
3 + 4 = 7
-3 – 4 = -7
9 – 4 = 5
-4 + 9 = 5
2 – 6 = -4
-6 + 2 = -4
1 + 3 = 4
-1 – 3 = -4
6 – 4 = 2
-4 + 6 = 2
3 – 5 = -2
- 5 + 3 = -2
![Page 36: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/36.jpg)
Adding and Subtracting Directed Numbers.Positive and negative numbers.
1. Work these out without a calculator.
5 + 2
-5 - 2
7 - 3
-3 + 7
4 - 9
-9 + 4
7 + 4
-6 - 5
10 - 4
-5 + 7
3 – 8
-7 + 1
![Page 37: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/37.jpg)
Adding and Subtracting Directed Numbers.Positive and negative numbers.
1. Work these out without a calculator.
5 + 2 = 7
-5 – 2 = -7
7 – 3 = 4
-3 + 7 = 4
4 – 9 = -5
-9 + 4 = -5
7 + 4 = 11
-6 – 5 = -11
10 – 4 = 6
-5 + 7 = 2
3 – 8 = -5
-7 + 1 = -6
![Page 38: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/38.jpg)
Adding and Subtracting Directed Numbers.
Positive and negative numbers.
2. Work these out without a calculator.
6 + +4
6 + -4
6 – +4
6 – -4
-6 + +4
-6 + -4
-6 – +4
-6 – -4
![Page 39: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/39.jpg)
Adding and Subtracting Directed Numbers.
Positive and negative numbers.
2. Work these out without a calculator.
6 + +4 = 6 + 4 = 10
6 + -4 = 6 – 4 = 2
6 – +4 = 6 – 4 = 2
6 – -4 = 6 + 4 = 10
-6 + +4 = -6 + 4 = -2
-6 + -4 = -6 – 4 = -10
-6 – +4 = -6 – 4 = -10
-6 – -4 = -6 + 4 = -2
![Page 40: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/40.jpg)
Adding and Subtracting Directed Numbers.
Positive and negative numbers.
2. Work these out without a calculator.
4 + +6
4 + -6
4 – +4
4 – -4
-4 + +6
-4 + -6
-4 – +4
-4 – -4
![Page 41: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/41.jpg)
Adding and Subtracting Directed Numbers.Positive and negative numbers.
2. Work these out without a calculator.
4 + +6 = 4 + 6 = 10
4 + -6 = 4 – 6 = -2
4 – +4 = 4 – 4 = 0
4 – -4 = 4 + 4 = 8
-4 + +6 = -4 + 6 = 2
-4 + -6 = -4 – 6 = -10
-4 – +4 = -4 – 4 = -8
-4 – -4 = -4 + 4 = 0
![Page 42: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/42.jpg)
Adding and Subtracting Directed Numbers.
Positive and negative numbers.
3. Work these out without a calculator.
2 – 7
-4 + 6
-2 – 3
2 – -5
-3 + -4
-2 – -3
6 + -4 - 7
![Page 43: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/43.jpg)
Adding and Subtracting Directed Numbers.
Positive and negative numbers.
3. Work these out without a calculator.
2 – 7 = -5
-4 + 6 = 2
-2 – 3 = -5
2 – -5 = 2 + 5 = 7
-3 + -4 = -3 – 4 = -7
-2 – -3 = -2 + 3 = 1
6 + -4 – 7 = 6 – 4 – 7 = 2 – 7 = -5
![Page 44: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/44.jpg)
Adding and Subtracting Directed Numbers.
Positive and negative numbers.
3. Work these out without a calculator.
5 – 8
-6 – 1
-5 + 9
2 – -3
-6 + -4
5 – 7 – -4
2 + 1 + -5 – 3 – -6
![Page 45: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/45.jpg)
Adding and Subtracting Directed Numbers.
Positive and negative numbers.
3. Work these out without a calculator.
5 – 8 = -3
-6 – 1 = -7
-5 + 9 = 4
2 – -3 = 2 + 3 = 5
-6 + -4 = -6 – 4 = -10
5 – 7 – -4 = -2 + 4 = 2
2 + 1 + -5 – 3 – -6 = 3 – 5 – 3 + 6 = -2 – 3 + 6 = -5 + 6 = 1
![Page 46: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/46.jpg)
Adding and Subtracting Directed Numbers.
Positive and negative numbers.
4. Layout all cards into a triangular-jigsaw. Put equivalent cards next to each other.
![Page 47: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/47.jpg)
Adding and Subtracting Directed Numbers.
Positive and negative numbers.
4. Layout all cards into a triangular-jigsaw. Put equivalent cards next to each other.
![Page 48: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/48.jpg)
Addition and Subtraction.
Working with numbers.
1. Work out.
328 + 65 463 + 231
![Page 49: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/49.jpg)
Addition and Subtraction.
Working with numbers.
1. Work out.
328 + 65 = 393 463 + 231 = 694
![Page 50: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/50.jpg)
Addition and Subtraction.
Working with numbers.
2. Work out.
563 – 15
400 – 36
![Page 51: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/51.jpg)
Addition and Subtraction.
Working with numbers.
2. Work out.
563 – 15 = 548
400 – 36 =364
![Page 52: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/52.jpg)
Addition and Subtraction.
Working with numbers.
2. Work out.
784 – 56
900 – 42
![Page 53: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/53.jpg)
Addition and Subtraction.
Working with numbers.
2. Work out.
784 – 56 = 728
900 – 42 = 858
![Page 54: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/54.jpg)
Addition and Subtraction.
Working with numbers.
3. Work out.
904 – 256
9004 – 76
![Page 55: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/55.jpg)
Addition and Subtraction.
Working with numbers.
3. Work out.
904 – 256 = 648
9004 – 76 = 8928
![Page 56: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/56.jpg)
Addition and Subtraction.
Working with numbers.
3. Work out.
603 – 134
6005 – 47
![Page 57: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/57.jpg)
Addition and Subtraction.
Working with numbers.
3. Work out.
603 – 134 = 469
6005 – 47 = 5958
![Page 58: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/58.jpg)
Long Multiplication.
Working with numbers.
1. Work out.
32 x 3
21 x 5
![Page 59: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/59.jpg)
Long Multiplication.
Working with numbers.
1. Work out.
32 x 3 = 96
21 x 5 = 105
![Page 60: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/60.jpg)
Long Multiplication.
Working with numbers.
1. Work out.
43 x 2
62 x 4
![Page 61: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/61.jpg)
Long Multiplication.
Working with numbers.
1. Work out.
43 x 2 = 86
62 x 4 = 248
![Page 62: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/62.jpg)
Long Multiplication.
Working with numbers.
2. Work out.
43 x 4
72 x 6
![Page 63: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/63.jpg)
Long Multiplication.
Working with numbers.
2. Work out.
43 x 4 = 172
72 x 6 = 432
![Page 64: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/64.jpg)
Long Multiplication.
Working with numbers.
2. Work out.
68 x 3
35 x 5
![Page 65: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/65.jpg)
Long Multiplication.
Working with numbers.
2. Work out.
68 x 3 = 204
35 x 5 = 175
![Page 66: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/66.jpg)
Long Multiplication.
Working with numbers.
3. Work out.
123 x 3
241 x 5
![Page 67: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/67.jpg)
Long Multiplication.
Working with numbers.
3. Work out.
123 x 3 = 369
241 x 5 = 1205
![Page 68: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/68.jpg)
Long Multiplication.
Working with numbers.
3. Work out.
213 x 4
684 x 2
![Page 69: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/69.jpg)
Long Multiplication.
Working with numbers.
3. Work out.
213 x 4 = 852
684 x 2 = 1368
![Page 70: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/70.jpg)
Long Multiplication.
Working with numbers.
4. Work out.
45 x 12
31 x 24
![Page 71: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/71.jpg)
Long Multiplication.
Working with numbers.
4. Work out.
45 x 12 = 540
31 x 24 = 744
![Page 72: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/72.jpg)
Long Multiplication.
Working with numbers.
4. Work out.
53 x 13
63 x 25
![Page 73: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/73.jpg)
Long Multiplication.
Working with numbers.
4. Work out.
53 x 13 = 689
63 x 25 = 1575
![Page 74: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/74.jpg)
Long Multiplication.
Working with numbers.
5. Work out.
124 x 15
204 x 34
![Page 75: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/75.jpg)
Long Multiplication.
Working with numbers.
5. Work out.
124 x 15 = 1860
204 x 34 = 6936
![Page 76: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/76.jpg)
Long Multiplication.
Working with numbers.
5. Work out.
253 x 14
302 x 26
![Page 77: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/77.jpg)
Long Multiplication.
Working with numbers.
5. Work out.
253 x 14 = 3542
302 x 26 = 7852
![Page 78: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/78.jpg)
Long Division.Working with numbers.
1. Work out.
84 ÷ 2
96 ÷ 3
![Page 79: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/79.jpg)
Long Division.Working with numbers.
1. Work out.
84 ÷ 2 = 42
96 ÷ 3 = 32
![Page 80: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/80.jpg)
Long Division.Working with numbers.
1. Work out.
68 ÷ 2
84 ÷ 4
![Page 81: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/81.jpg)
Long Division.Working with numbers.
1. Work out.
68 ÷ 2 = 34
84 ÷ 4 = 21
![Page 82: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/82.jpg)
Long Division.Working with numbers.
2. Work out.
78 ÷ 3
84 ÷ 6
![Page 83: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/83.jpg)
Long Division.Working with numbers.
2. Work out.
78 ÷ 3 = 26
84 ÷ 6 = 14
![Page 84: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/84.jpg)
Long Division.Working with numbers.
2. Work out.
92 ÷ 4
75 ÷ 5
![Page 85: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/85.jpg)
Long Division.Working with numbers.
2. Work out.
92 ÷ 4 = 23
75 ÷ 5 = 15
![Page 86: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/86.jpg)
Long Division.Working with numbers.
3. Work out.
144 ÷ 4
230 ÷ 5
![Page 87: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/87.jpg)
Long Division.Working with numbers.
3. Work out.
144 ÷ 4 = 36
230 ÷ 5 = 46
![Page 88: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/88.jpg)
Long Division.Working with numbers.
3. Work out.
258 ÷ 3
300 ÷ 4
![Page 89: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/89.jpg)
Long Division.Working with numbers.
3. Work out.
258 ÷ 3 = 86
300 ÷ 4 = 75
![Page 90: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/90.jpg)
Long Division.Working with numbers.
4. Work out.
720 ÷ 4
780 ÷ 6
![Page 91: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/91.jpg)
Long Division.Working with numbers.
4. Work out.
720 ÷ 4 = 180
780 ÷ 6 = 130
![Page 92: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/92.jpg)
Long Division.Working with numbers.
4. Work out.
850 ÷ 5
540 ÷ 3
![Page 93: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/93.jpg)
Long Division.Working with numbers.
4. Work out.
850 ÷ 5 = 170
540 ÷ 3 = 180
![Page 94: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/94.jpg)
Long Division.Working with numbers.
5. Work out.
253 ÷ 11
384 ÷ 12
288 ÷ 24
325 ÷ 25
![Page 95: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/95.jpg)
Long Division.Working with numbers.
5. Work out.
253 ÷ 11 = 23
384 ÷ 12 = 32
288 ÷ 24 = 12
325 ÷ 25 = 13
![Page 96: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/96.jpg)
Long Division.Working with numbers.
5. Work out.
276 ÷ 23
294 ÷ 14
672 ÷ 21
525 ÷ 25
![Page 97: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/97.jpg)
Long Division.Working with numbers.
5. Work out.
276 ÷ 23 = 12
294 ÷ 14 = 21
672 ÷ 21 = 32
525 ÷ 25 = 21
![Page 98: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/98.jpg)
Review “Positive and Negative Numbers”.
1. Write down the value of the 4 in the number 43 231 357.
![Page 99: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/99.jpg)
Review “Positive and Negative Numbers”.
1. Write down the value of the 4 in the number 43 231 357.
40 000 000
![Page 100: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/100.jpg)
Review “Positive and Negative Numbers”.
2. Write the number two hundred thousand, nine hundred and fifty one in figures.
![Page 101: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/101.jpg)
Review “Positive and Negative Numbers”.
2. Write the number two hundred thousand, nine hundred and fifty one in figures.
200 951
![Page 102: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/102.jpg)
Review “Positive and Negative Numbers”.
3. The temperature at 6am was -5°C. By 10am it had risen 8 degrees. What is the new temperature?
![Page 103: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/103.jpg)
Review “Positive and Negative Numbers”.
3. The temperature at 6am was -5°C. By 10am it had risen 8 degrees. What is the new temperature?
3°C
![Page 104: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/104.jpg)
Review “Positive and Negative Numbers”.
4. Place these numbers in order of size, smallest first.
9, 16, -10, -3, -1
![Page 105: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/105.jpg)
Review “Positive and Negative Numbers”.
4. Place these numbers in order of size, smallest first.
9, 16, -10, -3, -1
-10, -3, -1, 9, 16
![Page 106: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/106.jpg)
Review “Positive and Negative Numbers”.
5. Work these out without a calculator.
6 x -5 -9 / -3
-12 / 3 x -2 2 x -1 x 3
9 x -2 x -3 -15 / -3 x -4
![Page 107: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/107.jpg)
Review “Positive and Negative Numbers”.
5. Work these out without a calculator.
6 x -5 = -30 -9 / -3 = 3
-12 / 3 x -2 = -4 x -2 = 8 2 x -1 x 3 = -2 x 3 = -6
9 x -2 x -3 = -18 x -3 = 54 -15 / -3 x -4 = 5 x -4 = -20
![Page 108: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/108.jpg)
Review “Positive and Negative Numbers”.
6. Work these out without a calculator.
-2 – 3 5 + (-9)
-2 – (-5) 8 – (-3) - 4 - 9
![Page 109: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/109.jpg)
Review “Positive and Negative Numbers”.
6. Work these out without a calculator.
-2 – 3 = -5 5 + (-9) = 5 – 9 = -4
-2 – (-5) = -2 + 5 = 3 8 – (-3) - 4 – 9 = 8 + 3 – 4 – 9 = = 11 – 4 – 9 = 7 – 9 = -2
![Page 110: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/110.jpg)
Review “Working with Numbers”.
1. Work out.
450 + 375 5003 - 56
34 x 3 436 x 14
156 ÷ 6 276 ÷ 12
![Page 111: Positive and Negative Numbers. Working with Numbers](https://reader033.vdocument.in/reader033/viewer/2022061614/56813110550346895d974e4f/html5/thumbnails/111.jpg)
Review “Number”.1. Work out.
450 + 375 =825 5003 – 56 = 4947
34 x 3 = 102 436 x 14 = 6104
156 ÷ 6 = 26 276 ÷ 12 = 23