Week 7, Day 1 Multiply and divide decimals by 10, 100 and 1000.

Each day covers one maths topic. It should take you about 1 hour or just a little more.

1. Start by reading through the Learning Reminders.They come from our PowerPoint slides.

2. Tackle the questions on the Practice Sheet.There might be a choice of either Mild (easier) orHot (harder)!Check the answers.

3. Finding it tricky? That’s OK… have a go with agrown-up at A Bit Stuck?

4. Think you’ve cracked it? Whizzed through the Practice Sheets?Have a go at the Investigation…

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Learning Reminders

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© Hamilton Trust. Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton

Learning Reminders

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Practice Sheet MildMultiply and divide by 10, 100 and 1000

245 × 10 245 × 100 245 ÷ 10 245 ÷ 100

54.3 × 10 54.3 × 100 54.3 ÷ 10 54.3 ÷ 100

3.47 × 10 3.47 × 100 3.47 × 1000

7640 ÷ 10 7640 ÷ 100 7640 ÷ 1000

A

B

C

D

Challenge

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3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

51525354555657585960616263646566766869707172734775767778798081

8283

8485

8687

8889

9091

9293

9495

9697

9899

100

1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 036

Place value grid

1 _10s

1 _100s0.1s 0.01s1s10s100s1000s

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© Hamilton Trust

Practice Sheet HotMultiply and divide by 10, 100 and 1000

Challenge

Write your own chain of at least four steps which starts and ends on the same number, like Section G.

3.47 × 10 3.47 × 100 3.47 × 1000

7640 ÷ 10 7640 ÷ 100 7640 ÷ 1000

845 × ________ = 845,000 845 ÷ ________ = 8.45

_________ × 10 = 36.2 ________ ÷ 100 = 36.2

24.5 × 10 ÷ 100 × 1000 ÷ ________ = 24.5

A

B

C

D

E

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Multiply and divide by 10, 100 and 1000 (mild)A 245 ÷ 10 = 24.5

B 54.3 ÷ 10 = 5.43

C 3.47 × 1000 = 3470D 7640 ÷ 1000 = 7.64

245 × 10 = 2450 245 ÷ 100 = 2.45 54.3 × 10 = 543 54.3 ÷ 100 = 0.543 3.47 × 10 = 34.7 7640 ÷ 10 = 764

245 × 100 = 24500

54.3 × 100 = 5430

3.47 × 100 = 347 7640 ÷ 100 = 76.4

Practice Sheets Answers

Multiply and divide by 10, 100 and 1000 (hot)

A B C D

3.47 × 10 = 34.7 7640 ÷ 10 = 764845 × 1000 = 845,000 3.62 × 10 = 36.2

3.47 × 100 = 347 7640 ÷ 100 = 76.4 845 ÷ 100 = 8.45 362 ÷ 100 = 36.2

E 24.5 × 10 ÷ 100 x 1000 ÷ 100 = 24.5

3.47 × 1000 = 3470 7640 ÷ 1000 = 7.64

Challenge

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A Bit Stuck?Multiplying and dividing by 10 and 100

Challenge

3.6 x x = 360

940 ÷ ÷ = 9.4

72 x ÷ = 7.2

34 x 10

3.4 x 10

650 ÷ 10

72 ÷ 10

800 ÷ 100

4.5 x = 45

270 ÷ = 2.7

34 x 100

3.4 x 100

650 ÷ 100

7 ÷ 10

80 ÷ 100

4.5 x = 450

270 ÷ = 27

© Hamilton Trust. Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton

3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

51525354555657585960616263646566766869707172734775767778798081

8283

8485

8687

8889

9091

9293

9495

9697

9899

100

1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 036

Place value grid

1 _10s

1 _100s0.1s 0.01s1s10s100s1000s

© Hamilton Trust. Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton

© Hamilton Trust. Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton

34 x 10 = 340 34 x 100 = 3400 3.4 x 10 = 34 3.4 x 100 = 340650 ÷ 10 = 65 650 ÷ 100 = 6.572 ÷ 10 = 7.2 7 ÷ 10 = 0.7800 ÷ 100 = 8 80 ÷ 100 = 0.84.5 x 10 = 45 4.5 x 100 = 450270 ÷ 100 = 2.7 270 ÷ 10 = 27

A Bit Stuck?Answers

3.6 x 10 x 10 = 360 940 ÷ 10 ÷ 10 = 9.4 72 x 10 ÷ 100 = 7.2

Challenge

Multiplying and dividing by 10 and 100

© Hamilton Trust. Explore more Hamilton Trust Learning Materials at https://wrht.org.uk/hamilton

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Investigation Find my route

Investigate routes through a grid, multiplying and dividing by 10, 100 or 1000

• Starting with 435 trace a route through the grid, moving horizontally orvertically between boxes.

• What outcome do you get? Record it.

• Try another route.

• What outcome do you get? Record it.

• Try at least 4 different routes through thegrid

• How many different outcomes can you find?

Investigate

o What are the smallest and largest possible outputs?

o Does the longest path have the largest output?

• Now choose a different 3-digit starting number.

Challenge

Draw a route on the grid. If we follow this, what single calculation can replace all those we do en-route?Answer the calculations to check. Repeat with another route.

What if diagonal moves were allowed?

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3132

3334

3536

3738

3940

4142

4344

4546

4748

4950

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8586

8788

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1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 306

Investigation Resource Sheet

435 ÷ 100 × 10 × 10

÷ 10 × 10 × 100 ÷ 100

÷ 10 × 100 ÷ 100 × 10

× 10 ÷ 10 × 10 END

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