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This pdf teaches multiplying decimals by 10, 100, and 1000 with step-by-step solutions in an interactive manner.

1.
Reasoning and Problem Solving

Step 11: Multiply by 10, 100 and 1,000

National Curriculum Objectives:

Mathematics Year 5: (5C6b) Multiply and divide whole numbers and those involving

decimals by 10, 100 and 1000

Questions 1, 4 and 7 (Problem Solving)

Developing Choose the digit card to match the calculation when multiplying by 10, 100

and 1,000. Using decimal numbers; all questions have visual representation for support

(e.g. Place value chart, Gattegno grid).

Expected Choose the digit card to match the calculation multiplying by 10, 100 and 1,000.

Using numbers up to 3 decimal places.

Greater Depth Choose the digit card to match the calculation multiplying by 10, 100 and

1,000. Multi-step problems, using decimal numbers (e.g. 13.425 x 10 x 100 x 10).

Questions 2, 5 and 8 (Reasoning)

Developing Explain whether the statement is correct when multiplying by 10, 100 or 1,000.

Using decimal numbers; all questions have visual representation for support (e.g. Place

value chart, Gattegno grid).

Expected Explain whether the statement is correct when multiplying by 10, 100 or 1,000.

Using numbers up to 3 decimal places.

Greater Depth Explain whether the 2 statements are correct when multiplying by 10, 100 or

1,000. Multi-step problems, using decimal numbers (e.g. 13.425 x 10 x 100 x 10).

Questions 3, 6 and 9 (Problem Solving)

Developing Complete the table multiplying 2 numbers by 10, 100 and 1,000. Using decimal

numbers; all questions have visual representation for support (e.g. Place value chart,

Gattegno grid).

Expected Complete the table multiplying 2 numbers by 10, 100 and 1,000. Using numbers

up to 3 decimal places.

Greater Depth Complete the table multiplying 3 numbers by 10, 100 and 1,000. Multi-step

problems, using decimal numbers (e.g. 13.425 x 10 x 100 x 10).

More Year 5 Decimals resources.

Did you like this resource? Don’t forget to review it on our website.

© Classroom Secrets Limited 2018 classroomsecrets.co.uk

Reasoning and Problem Solving – Multiplying by 10, 100 and 1,000 – Teaching Information

Step 11: Multiply by 10, 100 and 1,000

National Curriculum Objectives:

Mathematics Year 5: (5C6b) Multiply and divide whole numbers and those involving

decimals by 10, 100 and 1000

Questions 1, 4 and 7 (Problem Solving)

Developing Choose the digit card to match the calculation when multiplying by 10, 100

and 1,000. Using decimal numbers; all questions have visual representation for support

(e.g. Place value chart, Gattegno grid).

Expected Choose the digit card to match the calculation multiplying by 10, 100 and 1,000.

Using numbers up to 3 decimal places.

Greater Depth Choose the digit card to match the calculation multiplying by 10, 100 and

1,000. Multi-step problems, using decimal numbers (e.g. 13.425 x 10 x 100 x 10).

Questions 2, 5 and 8 (Reasoning)

Developing Explain whether the statement is correct when multiplying by 10, 100 or 1,000.

Using decimal numbers; all questions have visual representation for support (e.g. Place

value chart, Gattegno grid).

Expected Explain whether the statement is correct when multiplying by 10, 100 or 1,000.

Using numbers up to 3 decimal places.

Greater Depth Explain whether the 2 statements are correct when multiplying by 10, 100 or

1,000. Multi-step problems, using decimal numbers (e.g. 13.425 x 10 x 100 x 10).

Questions 3, 6 and 9 (Problem Solving)

Developing Complete the table multiplying 2 numbers by 10, 100 and 1,000. Using decimal

numbers; all questions have visual representation for support (e.g. Place value chart,

Gattegno grid).

Expected Complete the table multiplying 2 numbers by 10, 100 and 1,000. Using numbers

up to 3 decimal places.

Greater Depth Complete the table multiplying 3 numbers by 10, 100 and 1,000. Multi-step

problems, using decimal numbers (e.g. 13.425 x 10 x 100 x 10).

More Year 5 Decimals resources.

Did you like this resource? Don’t forget to review it on our website.

© Classroom Secrets Limited 2018 classroomsecrets.co.uk

Reasoning and Problem Solving – Multiplying by 10, 100 and 1,000 – Teaching Information

2.
Multiply by 10, 100 and 1,000 Multiply by 10, 100 and 1,000

1a. Find the digit card that matches each 1b. Find the digit card that matches each

calculation. calculation.

A. 8 x 1,000 = 8.000 800 8,000 A. 500 x 10 = 5,000 500.0 50.00

B. 36 x 100 = 360 3,600 36.00 B. 12 x 1,000 = 12.00 1,200 12,000

TTh Th H T O Tths Hths TTh Th H T O Tths Hths

D PS D PS

2a. Asha multiplies 35 by 10. 2b. Orla multiplies 17 by 1,000.

She says, She says,

The 5 will move from the The 1 will move from the

ones column to the tenths tens column to the ten

column. thousands column.

Is she correct? Explain why. Is she correct? Explain why.

TTh Th H T O Tths Hths TTh Th H T O Tths Hths

D R D R

3a. Complete the table. 3b. Complete the table.

TTh Th H T O Tths Hths TTh Th H T O Tths Hths

4 30 27 10

x 10 x 10

x 100 x 100

x 1,000 x 1,000

D PS D PS

© Classroom Secrets Limited 2018 classroomsecrets.co.uk

Reasoning and Problem Solving – Multiplying by 10, 100 and 1,000 – Year 5 Developing

1a. Find the digit card that matches each 1b. Find the digit card that matches each

calculation. calculation.

A. 8 x 1,000 = 8.000 800 8,000 A. 500 x 10 = 5,000 500.0 50.00

B. 36 x 100 = 360 3,600 36.00 B. 12 x 1,000 = 12.00 1,200 12,000

TTh Th H T O Tths Hths TTh Th H T O Tths Hths

D PS D PS

2a. Asha multiplies 35 by 10. 2b. Orla multiplies 17 by 1,000.

She says, She says,

The 5 will move from the The 1 will move from the

ones column to the tenths tens column to the ten

column. thousands column.

Is she correct? Explain why. Is she correct? Explain why.

TTh Th H T O Tths Hths TTh Th H T O Tths Hths

D R D R

3a. Complete the table. 3b. Complete the table.

TTh Th H T O Tths Hths TTh Th H T O Tths Hths

4 30 27 10

x 10 x 10

x 100 x 100

x 1,000 x 1,000

D PS D PS

© Classroom Secrets Limited 2018 classroomsecrets.co.uk

Reasoning and Problem Solving – Multiplying by 10, 100 and 1,000 – Year 5 Developing

3.
Multiply by 10, 100 and 1,000 Multiply by 10, 100 and 1,000

4a. Find the digit card that matches each 4b. Find the digit card that matches each

calculation. calculation.

A. 2.831 x 10 = 0.2831 28.31 283.1 A. 70.1 x 100 = 7,001 700.1 7,010

B. 1.34 x 100 = 1,340 134 1.340 8,620 862 80.62

B. 0.862 x 1,000 =

C. 12.06 x 1,000 = 12,060 120.60 1,206 C. 11.9 x 10 = 11.90 110.9 119

E PS E PS

5a. Hallie multiplies 0.741 by 100. 5b. Hanif multiplies 1.03 by 1,000.

She says, He says,

The 4 will move from the The 0 will move from the

hundredths column to the tenths column to the

tens column. hundreds column.

Is she correct? Is he correct?

Explain why. Explain why.

E R E R

6a. Complete the table. 6b. Complete the table.

23.5 2.9 0.44 15.628

x 10 x 10

x 100 x 100

x 1,000 x 1,000

E PS E PS

© Classroom Secrets Limited 2018 classroomsecrets.co.uk

Reasoning and Problem Solving – Multiplying by 10, 100 and 1,000 – Year 5 Expected

4a. Find the digit card that matches each 4b. Find the digit card that matches each

calculation. calculation.

A. 2.831 x 10 = 0.2831 28.31 283.1 A. 70.1 x 100 = 7,001 700.1 7,010

B. 1.34 x 100 = 1,340 134 1.340 8,620 862 80.62

B. 0.862 x 1,000 =

C. 12.06 x 1,000 = 12,060 120.60 1,206 C. 11.9 x 10 = 11.90 110.9 119

E PS E PS

5a. Hallie multiplies 0.741 by 100. 5b. Hanif multiplies 1.03 by 1,000.

She says, He says,

The 4 will move from the The 0 will move from the

hundredths column to the tenths column to the

tens column. hundreds column.

Is she correct? Is he correct?

Explain why. Explain why.

E R E R

6a. Complete the table. 6b. Complete the table.

23.5 2.9 0.44 15.628

x 10 x 10

x 100 x 100

x 1,000 x 1,000

E PS E PS

© Classroom Secrets Limited 2018 classroomsecrets.co.uk

Reasoning and Problem Solving – Multiplying by 10, 100 and 1,000 – Year 5 Expected

4.
Multiply by 10, 100 and 1,000 Multiply by 10, 100 and 1,000

7a. Find the digit card that matches each 7b. Find the digit card that matches each

calculation. calculation.

A. 22.08 x 10 = 22.08 22.080 220.8 A. 2.221 x 100 = 222.01 222.1 220.10

B. 11.11 x 1,000 = 11,110.1 11,110 111,110 B. 0.908 x 1,000 = 9,080 908 90.080

C. 1.909 x 10 = 1,909.0 190.09 19.09 C.118.09 x 10 = 118.90 11,809 1,180.9

D. 60.31 x 100 = 600.31 6,031 60,310 D. 100.01 x 100 = 10,001 100.010 100,010

GD PS GD PS

8a. Claudia multiplies 3.102 by 10 and 8b. Fabian multiplies 100.793 by 10 and

then by 100. then by 10 again.

She says, He says,

The 1 will move from the The 9 will move from the

tenths column to the hundredths column to the

hundreds column and the 0 tens column and the 3 will

will move from the tenths move from the thousandths

column to the hundreds column to the ones

column. column.

Is she correct? Is he correct?

Explain why. Explain why.

GD R GD R

9a. Complete the table. 9b. Complete the table.

19.098 24.88 100.56 0.122 150.96 65.912

x 10 x 10

x 100 x 100

x 1,000 x 1,000

GD PS GD PS

© Classroom Secrets Limited 2018 classroomsecrets.co.uk

Reasoning and Problem Solving – Multiplying by 10, 100 and 1,000 – Year 5 Greater Depth

7a. Find the digit card that matches each 7b. Find the digit card that matches each

calculation. calculation.

A. 22.08 x 10 = 22.08 22.080 220.8 A. 2.221 x 100 = 222.01 222.1 220.10

B. 11.11 x 1,000 = 11,110.1 11,110 111,110 B. 0.908 x 1,000 = 9,080 908 90.080

C. 1.909 x 10 = 1,909.0 190.09 19.09 C.118.09 x 10 = 118.90 11,809 1,180.9

D. 60.31 x 100 = 600.31 6,031 60,310 D. 100.01 x 100 = 10,001 100.010 100,010

GD PS GD PS

8a. Claudia multiplies 3.102 by 10 and 8b. Fabian multiplies 100.793 by 10 and

then by 100. then by 10 again.

She says, He says,

The 1 will move from the The 9 will move from the

tenths column to the hundredths column to the

hundreds column and the 0 tens column and the 3 will

will move from the tenths move from the thousandths

column to the hundreds column to the ones

column. column.

Is she correct? Is he correct?

Explain why. Explain why.

GD R GD R

9a. Complete the table. 9b. Complete the table.

19.098 24.88 100.56 0.122 150.96 65.912

x 10 x 10

x 100 x 100

x 1,000 x 1,000

GD PS GD PS

© Classroom Secrets Limited 2018 classroomsecrets.co.uk

Reasoning and Problem Solving – Multiplying by 10, 100 and 1,000 – Year 5 Greater Depth

5.
Reasoning and Problem Solving Reasoning and Problem Solving

Multiply by 10, 100 and 1,000 Multiply by 10, 100 and 1,000

Developing Developing

1a. A. 8,000; B. 3,600 1b. A. 5,000; B. 12,000

2a. No, because the 5 will move to the 2b. Yes, she is correct.

tens column. 3b. 27 10

3a. 4 30 x 10 270 100

x 10 40 300 x 100 2,700 1,000

x 100 400 3,000 x 1,000 27,000 10,000

x 1,000 4,000 30,000

Expected Expected

4a. A. 28.31; B. 134; C. 12,060 4b. A. 7,010; B. 862; C. 119

5a. No, because the 4 will move from the 5b. Yes, he is correct.

hundredths to the ones column. 6b. 0.44 15.628

6a. x 10 4.4 156.28

23.5 2.9

x 100 44 1,562.8

x 10 235 29

x 1,000 440 15,628

x 100 2,350 290

x 1,000 23,500 2,900

Greater Depth Greater Depth

7a. A. 220.8; B. 11,110; C. 19.09; D. 6,031 7b. A. 222.1; B. 908; C. 1,180.9; D. 10,001

8a. No, because the 1 will move to the 8b. No, because the 9 will move to the

hundreds column and the 0 will move ones column and the 3 will move to the

from the hundredths (not the tenths) to the tenths column.

tens column. 9b.

0.122 150.96 65.912

9a. 19.098 24.88 100.56

x 10 1.22 1,509.6 659.12

x 10 190.98 248.8 1,005.6

x 100 12.2 15,096 6,591.2

x 100 1,909.8 2,488 10,056

x 1,000 122 150,960 65,912

x 1,000 19,098 24,880 100,560

© Classroom Secrets Limited 2018 classroomsecrets.co.uk

Reasoning and Problem Solving – Multiplying by 10, 100 and 1,000 ANSWERS

Multiply by 10, 100 and 1,000 Multiply by 10, 100 and 1,000

Developing Developing

1a. A. 8,000; B. 3,600 1b. A. 5,000; B. 12,000

2a. No, because the 5 will move to the 2b. Yes, she is correct.

tens column. 3b. 27 10

3a. 4 30 x 10 270 100

x 10 40 300 x 100 2,700 1,000

x 100 400 3,000 x 1,000 27,000 10,000

x 1,000 4,000 30,000

Expected Expected

4a. A. 28.31; B. 134; C. 12,060 4b. A. 7,010; B. 862; C. 119

5a. No, because the 4 will move from the 5b. Yes, he is correct.

hundredths to the ones column. 6b. 0.44 15.628

6a. x 10 4.4 156.28

23.5 2.9

x 100 44 1,562.8

x 10 235 29

x 1,000 440 15,628

x 100 2,350 290

x 1,000 23,500 2,900

Greater Depth Greater Depth

7a. A. 220.8; B. 11,110; C. 19.09; D. 6,031 7b. A. 222.1; B. 908; C. 1,180.9; D. 10,001

8a. No, because the 1 will move to the 8b. No, because the 9 will move to the

hundreds column and the 0 will move ones column and the 3 will move to the

from the hundredths (not the tenths) to the tenths column.

tens column. 9b.

0.122 150.96 65.912

9a. 19.098 24.88 100.56

x 10 1.22 1,509.6 659.12

x 10 190.98 248.8 1,005.6

x 100 12.2 15,096 6,591.2

x 100 1,909.8 2,488 10,056

x 1,000 122 150,960 65,912

x 1,000 19,098 24,880 100,560

© Classroom Secrets Limited 2018 classroomsecrets.co.uk

Reasoning and Problem Solving – Multiplying by 10, 100 and 1,000 ANSWERS