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Decimals: Multiplying by 100

In this worksheet, students multiply numbers by 100 by shifting digits two places to the left in a grid.

'Decimals: Multiplying by 100' worksheet

Key stage:  KS 2

Curriculum topic:   Number: Multiplication and Division

Curriculum subtopic:   Multiply/Divide Using Decimals

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

When we multiply numbers by 100, we do not simply add 00 to the end.

 

When the numbers are decimals, this rule does not work.

54.6 × 100 does not equal 54.600

 

When we multiply numbers by 100, each digit must move two places to the left.  

 

When we look at the columns in a Th, H, T, U grid we notice that Thousands are 100 times bigger than Tens, Hundreds are 100 times bigger than units, Tens are 100 times bigger than tenths etc...

*Note that the U for Units is another term for Ones.

 

e.g. Work out:

54.6 × 10 = 5460 

 

Here is 54.6 in a Th, H, T, U grid.

Place value grid

 

Answer:

Each digit moves two places to the left.

Remember to fill in that 0 in the units column.

 

So  54.6 × 100 = 5460

 

 

Want to understand this further and learn how this links to other topics in maths?

 

Why not watch this video?

 

Work out:

5.38 x 100

 

Place value grid

Work out:

5.07 x 100

 

Place value grid

What is the correct answer for the calculation below?

6.9 x 100

 

Place value grid

0.69

6.9

69

690

Work out:

12.35 x 100

Mark thinks the answer to this sum is 123.5

 

Which of the options below explains why mark is incorrect.

because Mark should have moved all digits 2 places to the right

because Mark should have moved all digits 2 places to the left

because Mark should have moved all digits 3 places to the left

Work out:

10.3 x 100

 

Place value grid

Work out:

1.752 x ? = 175.2

 

Read this question carefully.

10.123 x ? = 101.23

 

Place value grid

Work out:

0.123 x 100

 

Place value grid

Work out:

42.3 x 100

 

Place value grid

Work out:

0.03 x 100

 

Place value grid

  • Question 1

Work out:

5.38 x 100

 

Place value grid

CORRECT ANSWER
538
EDDIE SAYS
Ok - so there is a system that we need to use here. When we multiply numbers by 100, each digit must move two places to the left. 5.38 becomes 538 Did you get this right?
  • Question 2

Work out:

5.07 x 100

 

Place value grid

CORRECT ANSWER
507
EDDIE SAYS
How did you get on here? When we multiply numbers by 100, each digit must move two places to the left. 5.07 becomes 507
  • Question 3

What is the correct answer for the calculation below?

6.9 x 100

 

Place value grid

CORRECT ANSWER
690
EDDIE SAYS
Did you move to the left enough times with this sum? When we multiply numbers by 100, each digit must move two places to the left. 6.9 becomes 690
  • Question 4

Work out:

12.35 x 100

Mark thinks the answer to this sum is 123.5

 

Which of the options below explains why mark is incorrect.

CORRECT ANSWER
because Mark should have moved all digits 2 places to the left
EDDIE SAYS
Did you spot what Mark did wrong here? When we multiply numbers by 100, each digit must move two places to the left. 12.35 becomes 1235 It's a very important move, as there is a big difference between the two numbers!
  • Question 5

Work out:

10.3 x 100

 

Place value grid

CORRECT ANSWER
1030
EDDIE SAYS
When we multiply numbers by 100, each digit must move two places to the left. 10.3 becomes 1030
  • Question 6

Work out:

1.752 x ? = 175.2

 

CORRECT ANSWER
EDDIE SAYS
Did you work this one out? It was worded differently but it's the same principle, when we multiply numbers by 100, each digit must move two places to the left. 1.725 becomes 175.2
  • Question 7

Read this question carefully.

10.123 x ? = 101.23

 

Place value grid

CORRECT ANSWER
EDDIE SAYS
Did you read the question carefully? If we can work this out by moving digits two places to the left when we multiply by one hundred, we can apply this logic to the question to work out what we have multiplied 10.123 by to get 101.23 Can you see we are using what we know in a different formation? When we multiply numbers by 10, each digit must move one places to the left (the number of 0s in the number). 10.123 becomes 101.23
  • Question 8

Work out:

0.123 x 100

 

Place value grid

CORRECT ANSWER
12.3
EDDIE SAYS
When we multiply numbers by 100, each digit must move two places to the left. 0.123 becomes 12.3
  • Question 9

Work out:

42.3 x 100

 

Place value grid

CORRECT ANSWER
4230
EDDIE SAYS
When we multiply numbers by 100, each digit must move two places to the left. 42.3 becomes 4230
  • Question 10

Work out:

0.03 x 100

 

Place value grid

CORRECT ANSWER
3
EDDIE SAYS
How did you get on with the last one in this activity? When we multiply numbers by 100, each digit must move two places to the left. 0.03 becomes 3. Well done, that's another activity completed! Great work!
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