form one - decimals form one
TRANSCRIPT
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MATHEMATICSMATHEMATICS
FORM 1FORM 1
MATHEMATICSMATHEMATICS
FORM 1FORM 1
DECIMALSDECIMALS
Created By: Sepang District Group
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Learning outcomes:
Represent fractions 1/10 and 1/100 as a
decimals and vice-versa
Represent fractions with denominators 10,100 1000 as decimals.
Read and write decimals to thousandths.
Change fractions to decimals and vice-versa
Decimals and Fractions
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INTRODUCTION
4.123kg
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RELATIONSHIP BETWEEN
DECIMALS AND FRACTIONS
101=
The part is one part out of ten parts
= 0.1
1 0
1.0
0.110
0 0
Represent fractions as decimals
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RELATIONSHIP BETWEEN
DECIMALS AND FRACTIONS
100
13=
The part is thirteen parts out of one hundred parts
=
0.13
10 .0
13.0
00.13
1003 003 00
0 00
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8/3/2019 Form One - Decimals Form One
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Represent fractions with denominators 10, 100,
1000.
Decimals
Fractions10
1
100
1
1000
1
0.1 0.0010.01
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Read and write decimals up to
thousandths.
0 4 7.
Zero point sevenfour
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5 8.3
2
Three eightpoint five two
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38.74Thirty-eight point seven four
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CHANGE FRACTIONS TO
DECIMALS
4
3 = 3 ÷ 475.0
00.34
2 80
2020
00= 0.75
RULE: Divide the numerator by the denominator.
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TRY!
5
2= 0.4
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CHANGE DECIMALS TO
FRACTIONS
RULE : Express the decimal as a fraction by using 10, 100,
1000 and so on, as the denominator of the fraction.
5
20.4
2
= =10
45
4 ÷ 2
10 ÷ 2
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0.05 =20
1
TRY!
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Place Value and Value of Each Digit in
Decimals
Learning Outcomes:
State the place value and value of each in decimals.
Compare the values of two given decimals.
Arrange decimals in order.
Round decimals to the nearest whole number up to three
decimal places.
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PLACE VALUE AND VALUE OF
EACH DIGIT IN DECIMALS
.
Place value
Tens Units - Tenths Hundredths Thousandths
value -
Decimalplace
4 5 . 8 6 2
40 5 0.8 0.06 0.002
1st 2nd 3rd
4 5 8 6 2
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TRY!
81.654State the place value of the underlined digit
State the value of the underlined digit
Hundredths
0.05
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Arrange 2.5, 2.05, 2.53, and
2.505 in increasing order
2.5 =2.500
2.05 = 2.0502.53= 2.5302.505= 2.5050
2.05 2.5, ,2.505 ,2.53The decimals have arranged in
increasing order
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Round off 14.78
to the nearest whole number
4 . 7 8
The first digit on the right is greater than 5
+1
Add I to digit 4
1 5
Drop all the decimals
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Round off 5.316 to 1 decimal place
5 . 3 1 6
Underline digit 3
(1st decimal place).
The first digit on the right
is less than 5
Do not
change digit 3
Drop all the digits
to the right 3
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Round off 4.387 to 2 decimal places
4 . 3 8 7
Underline digit 8
(2nd
decimal place).
The first digit on the right
is more than 5
Add 1 to 8
9
+1
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TRY!34.561
1) To the nearest whole number
2) To 1 decimal place
3) To 2 decimal places
3534.6
34.56
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Addition and Subtractions of Decimals
Learning Outcomes:
Add decimals
Solve problems involving addition of decimals.
Subtract decimals.
Solve problems involving subtraction of decimals
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ADDITION OF DECIMALS
34.571 + 21.332 =
34 . 5 17
33.12 2+ 09.55 3
1
55.903
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10.345+112.3+8.61=
12 . 3 00
16.8 0+ 52.13
1
131.255
1 .0 431
5
1
1 5
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SUBTRACTION OF DECIMALS
64.718 - 21.404 =
64 . 7 8104.12 4-13.34 4
1
43.314
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10.345 - 2.83 =
2 . 8 03-
15.7 5
13
7.515
1 .0 43 5
90
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Multiplication and Division
of Decimals
Learning Outcomes:
Multiply two or more decimals
Solve problems involving multiplications of
decimals
Divide
A decimals by a whole Number
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Multiplying Two or More
Decimals
Mentally multiply decimals by 10
1.746 x 10 =1 7 4 6
Shift the decimal point one place to the right.
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Mentally multiply decimals by 100
1.746 x 100 =1 7 4 6
Shift the decimal point two places to the right.
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Mentally multiply decimals by 1000
1.746 x 1000 =1 7 4 6
Shift the decimal point three places to the right.
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Mentally multiply decimals by 0.1
17.5 x 0.1 = 1 7 5
Shift the decimal point one place to the left.
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Mentally multiply decimals by 0.01
17.5 x 0.01 1 7 5
Shift the decimal point two places to the left.
0=
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Mentally multiply decimals by 0.001
17.5 x 0.001 1 7 5Shift the decimal point three places to the left.
= 00
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8 4 2 x 7 =
8 4 2
x 7
5 8 9 4
two decimal places
two decimal places
5 8 9 4
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1 9 x 3 =
1 1 9
x 5
55
9 5
one decimal place
one decimal place
1 5
3
3 75614
14 6 5
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1 9 x 3 =
1 1 9
x5
55
9 5
one decimal place
one decimal place
1 5
3
3 7
5614
14 6 5
two decimal places
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1 9 x 3 =
1 1 9
x
5
55
9 5
1 5
3
3 7
5614
14 6 5
one decimal place
one decimal place
three decimal places
0
0
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Mentally divide decimals by 10
705.3 ÷ 10 7 0 5
Shift the decimal point one place to the left.
= 3
Dividing Decimals By
Whole Number
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Mentally divide decimals by 100
705.3 ÷ 100 7 0 5Shift the decimal point two places to the left.
= 3
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Mentally divide decimals by 1000
705.3 ÷ 1000 7 0 5
Shift the decimal point three places to the left.
= 30
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35 ÷ 0.4
= 350.4
= 35 x 10
0.4 x 10= 350
4= 87.5
Multiply the numerator
And denominator by 10
to change the denominatorto a whole number
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9 ÷ 3.12
= 93.12
= 9 x 100
3.12 x 100= 900
312= 2.8846
Multiply the numerator
and denominator by 100
to change the denominatorto a whole number