Multiplying decimals by 10, 100 and 1000

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NEO Thu, Jan 27, 2022 01:51 PM UTC

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.
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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

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

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

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

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