Meerkat Maths – Week 5 – 18.05.20 Focus area- Multiplication and division

Thank you for all of your hard work.

This week we are going to be multiplying and dividing by 10, 100 and 1000.

If it is possible, please photograph or scan completed work as this will show us how the week went, allowing us to provide

feedback. If you have any questions regarding the activities set, please

email us: meerkats@bratton.wilts.sch.uk

Thank you, Mrs Stokes and Mrs Jeffery

mailto:meerkats@bratton.wilts.sch.uk

Activity 1 • Task 1 - Login to Professor Assessor and complete the

timestable test on multiplying/dividing by 10,100 and 1000.

Click this

Multiplying by 10 We are going to recap and improve our knowledge

on multiplying by 10, 100 and 1000.

• To multiply by 10 we move the numbers one place to the left and a zero (0) will go into the ones column. This 0 acts as a place holder as we can’t leave the column empty. Example:

4 x 10 = 40

Multiplying by 100

4 x 100 = 400

• To multiply by 100 we move the numbers two places to the left and a place holder 0 will go in the tens and ones column.

• Using this pattern what do you think will happen when we multiply 4 by 1000? The answer is on the next slide.

Multiplying by 1000 • To multiply by 1000 we move the numbers three

places to the left and a place holder 0 will go in the hundreds, tens and ones column.

• We can see the pattern clearer when we write the calculations out next to each other…

4 x 10 = 40

4 x 100 = 400

4 x 1000 = 4000

Can you see any other patterns?

Multiplying decimals by 10

We use the same method for when we multiply decimal numbers. For example:

2.8 x 10 = 28

This time we did not need to insert a 0 as the 8 digit moved from the tenths column into the

ones column.

Multiplying decimals by 100 and 1000.

However, when we multiply the same number (2.8) by 100 we will need a place holder to avoid a column having a missing digit.

This is the same for multiplying by 1000. We will need two place holder 0s.

Task 2 This task has 3 worksheets. I would like you to choose the one appropriate for you.

If you start a sheet and feel like you could challenge yourself further, then please move on to the next worksheet to extend yourself. Please write this on your work so I can see you changed challenge.

On the next slide there is a support sheet if you want to practise questions before moving onto the worksheet.

• Worksheet 1 = Answer a mixture of questions for x10, 100 and 1000.

• Worksheet 2 = Multiplying by 10, 100 and 1000 with decimal numbers.

• Worksheet 3 = Multiplying by 10, 100 and 1000 with decimal numbers, plus a grid activity to multiply a number by 10, 100 or 1000 multiple times.

Activity 1 - Support sheet • Multiply these numbers by 10, 100 and 1000. Write

them on your paper like this:

2 x 10 = 20

2 x 100 = 200

2 x 1000 = 2000

6) 99

7) 160

8) 250

9) 287

10) 400

1) 6

2) 12

3) 22

4) 48

5) 65

Activity 1 - Worksheet 1 Write the question and the answer for each of

the following questions:

1) 34 x 10 =

2) 829 x 10 =

3) 54 x 100 =

4) 31 x 1000 =

5) 121 x 10 =

6) 604 x 100 =

7) 318 x 10 =

8) 87 x 1000 =

9) 314 x 10 =

10) 201 x 100 =

11) 914 x 10 =

12) 247 x 1000 =

13) 62 x 1000 =

14) 2.8 x 100 =

15)Write and show how you would work out 12 x 10,000.

Activity 1 - Worksheet 2 Write the question and the answer for each of the following questions:

1) 1.5 x 100 =

2) 2.1 x 10 =

3) 3.17 x 1000 =

4) 5.11 x 100 =

5) 4.8 x 1000 =

6) 9.4 x 10 =

7) 8.01 x 10 =

8) 8.5 x 100 =

9) 7.16 x 10 =

10) 2.57 x 1000 =

11) 9.01 x 100 =

12) 5.175 x 1000 =

13) 6.9 x 10 =

14) 4.001 x 100 =

15)Write and show how you would work out 3.108 x 10,000.

Activity 1 - Worksheet 3 (Part 1)

1) 52.12 x10 =

2) 1000 x 75.12 =

3) 3.01 x 100 =

4) 10 x 41.02 =

5) 70.08 x 1,000 =

6) 100 x 0.871 =

7) 0.0487 x 1000 =

8) 100 x 0.0059 =

On the next slide is Part 2 of your work. This will involve you

multiplying a number by 10, 100 and 1000

multiple times. I have done the first one in red to show you an

example.

Activity 1 - Worksheet 3 (Part 2)

End of Activity 1

Activity 2

Task 1 – Using this new timestable grid, fill in the answers as quickly as you can. Record your time and how many you got correct. If you have not finished in 10 minutes, stop and write how many you got next to the time of 10 minutes.

Dividing by 10 This works in the same way as multiplication but as we are making the numbers smaller, we move the digits to the right instead. For example:

4000 ÷ 10 = 400

We don’t need to write the answer as 400.0 because if the number after the decimal point is a 0, it represents the same

number as 400 written on its own.

If the number after a decimal point is not a 0 then we must write the digit . See example question on slide 18.

Dividing numbers by 100 and 1000 When dividing by 100 we move the digits two places to the left. 4000 ÷ 100 = 40.

4000 ÷ 1000 = 4

40.00 is the same value as 40 so the red 0s don’t need to be written for the final answer.

4.00 is the same value as 4 so the red 0s don’t need to be written for the final answer.

Dividing decimals by 10, 100 and 1000 We repeat the same process with decimal numbers.

Example: 236 ÷ 10 = 23.6

236 ÷ 100 = 2.36

236 ÷ 1000 = 0.236

We must include the 6 as it represents a value unlike 0 in the previous example.

Same here with the 3 and the 6 this time.

For this question we needed to put a 0 in the ones column as an answer of .236 wouldn’t make sense.

Task 2 This task has 3 worksheets. I would like you to choose the one appropriate for you.

If you start a sheet and feel like you could challenge yourself further, then please move on to the next worksheet to extend yourself. Please write this on your work so I can see you changed challenge.

On the next slide there is a support sheet if you want to practise questions before moving onto the worksheet.

• Worksheet 1 = Answer a mixture of questions for ÷ 10, 100 and 1000.

• Worksheet 2 = Dividing by 10, 100 and 1000 with decimal numbers.

• Worksheet 3 = Dividing by 10, 100 and 1000 with decimal numbers, plus a grid activity to divide a number by 10, 100 or 1000 multiple times.

Activity 2 - Support sheet • Divide these numbers by 10, 100 and 1000. Write

them on your paper like this:

2000 ÷ 10 = 200

2000 ÷ 100 = 20

2000 ÷ 1000 = 2

6) 99000

7) 16000

8) 25000

9) 28700

10) 4000

1) 6000

2) 12000

3) 22000

4) 48000

5) 65000

Activity 2 - Worksheet 1

1) 6200 ÷ 100 =

2) 3210 ÷ 10 =

3) 58700 ÷ 1000 =

4) 7210 ÷ 100 =

5) 8400 ÷ 100 =

6) 9600 ÷ 1000 =

7) 7200 ÷ 100 =

8) 1890 ÷ 10 =

9) 5210 ÷ 100 =

10) 97700 ÷ 1000 =

11) 1010 ÷ 100 =

12) 2040 ÷ 100 =

13) 7051 ÷ 1000 =

14) 601 ÷ 100 =

15) How would you work out: ? x 10 = 640

Activity 2 - Worksheet 2

1) 62 ÷ 100 =

2) 314 ÷ 10 =

3) 671 ÷ 1000 =

4) 84 ÷ 100 =

5) 12 ÷ 10 =

6) 544 ÷ 1000 =

7) 301 ÷ 100 =

8) 2 ÷ 1000 =

9) 102 ÷ 10 =

10)71 ÷ 1000 =

11)208 ÷ 100 =

12)9010 ÷ 10 =

13)54 ÷ 1000 =

14)3.1 ÷ 100 =

15) How would you work out: ? x 100 = 350

Activity 2 - Worksheet 3 (Part 1)

1) 2.5 ÷ 10 =

2) 1.9 ÷ 1000 =

3) 3 ÷ 1000 =

4) 6.78 ÷ 10 =

5) 0.26 ÷ 100 =

6) 0.017 ÷ 1000 =

7) 0.01010 ÷ 100 =

On the next slide is Part 2 of your work. This will involve you dividing a number by 10, 100 and 1000 multiple times. I have done the first one in red to show you an example.

Activity 2 - Worksheet 3 (Part 2)

End of activity 2

Activity 3 I have set you a home learning task on Professor Assessor.

You have 40 questions to complete, which will include a mixture of multiplication and division questions.

End of activity 3

Activity 4 Today we will be working through a mixture of questions multiplying and dividing by 10, 100 and 1000.

There are 2 worksheets for you to choose from.

• Worksheet 1 – Q1- 10 dividing Q11-20 multiplying. Pick this challenge if you need more practise. There are a few questions to challenge you at the end.

• Worksheet 2 – Mixture of multiplying and dividing, plus a grid of multiplying and dividing multiple times.

Activity 4 - Worksheet 1 1) 43 x 100 = 2) 21 x 1000 = 3) 100 x 33 = 4) 10 x 600 = 5) 6.8 x 1000 = 6) 75.8 x 10 = 7) 32.12x 100 = 8) 514.6 x 10 = 9) 1000 x 6.81 = 10) ? X 1000 = 240 (Top tip – think inverse)

1) 2400 ÷ 100 = 2) 68 ÷ 10 = 3) 350 ÷ 1000 = 4) 9 ÷ 10 = 5) 19 ÷ 1000 = 6) 6500 ÷ 1000 = 7) 321 ÷ 10 = 8) 976 ÷ 100 = 9) 941 ÷ ? = 0.941 10)6437 ÷ ? = 64.37

Activity 4 - Worksheet 2 (Part 1)

1) 433 ÷ 1000 = 2) 7 ÷ 1000 = 3) 0.003 X 10 = 4) 32.003 X 100 = 5) 399.9 ÷ 10 = 6) 1000 X 3.333 = 7) 87230 ÷ 1000 = 8) 0.203 X 100 = 9) 10 000 X 0.001 = 10)132.345 ÷ 1000 =

On the next slide is Part 2 of your work. This will involve you multiplying and dividing a number by 10, 100 and 1000 multiple times. I have done the first one in red to show you an example.

Activity 4 – Worksheet 2 (Part 2)

End of activity 4

Activity 5 – Problem solving The next few slides are problem solving tasks for multiplying and dividing by 10, 100 and 1000. Some are more challenging than others. Try your best but if you find it too challenging then move onto the next one and come back later. Top tip - Remember to draw a place value chart to support you in your calculations. I have provided one on the next slide for you.

Page 1 of 3

1) 6 ÷ ? = 0.6

2) ? x 100 = 4500

3) 0.74 = 74 ÷ ?

4) 1000 x ? = 65800

5) Work out twenty thousand divided by one million.

6) A coffee shop sells cups of coffee in 0.4 litre cups. In one day they sell 10000 cups of coffee. How many litres of coffee do they sell? 7) Carly needs 42000 blocks of Lego to build a large castle. The lego blocks are sold in boxes of 100. How many boxes of lego does she need?

8) Tick the boxes that are correct and put a cross next to the boxes that are incorrect. If you are working on paper, write out the correct

calculations in one column and the incorrect ones in another column.

9) What should the incorrect

answers be?

Page 2 of 3

10) Put these calculations in order from smallest to largest

11) By using a number from column A, an operation from B and a number from C, how many ways can you find to make 70? (Hint – there are more than 4 ways.)

Page 3 of 3

End of activity 5