New
New
Year 4

Explain the relationship between multiplying a number by 100 and multiples of 100

I can explain the relationship between multiplying a number by 100 and multiples of 100

New
New
Year 4

Explain the relationship between multiplying a number by 100 and multiples of 100

I can explain the relationship between multiplying a number by 100 and multiples of 100

Lesson details

Key learning points

  1. Finding one hundred times as many is the same as multiplying by 100
  2. When a number is multiplied by one hundred the product is a multiple of one hundred.
  3. Multiples of 100 have zero in the tens and ones column.
  4. Multiplying by one hundred moves all the digits two columns to the left making the digits one hundred times the size.

Common misconception

Pupils may start talking of 'adding 2 zeros' to multiply by 100

Don't dismiss this as it is disguising an understanding of a pattern but reassure the pupils that this will be explained later through place value discussions in the coming lessons.

Keywords

  • Multiple - A multiple is the result of multiplying a number by another whole number.

  • Digit - A digit is one of the symbols of a number system. In our number system we use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9

  • Placeholder - A placeholder is where we use the digit zero to hold a place in a number and maintain place value.

Use countable objects here. If you don't have anything that comes in 100s, then label some opaque boxes or jars accordingly. Ensure that children use the correct language of placeholders to describe what is happening when multiplying by 100
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
What number is being shown on the Gattegno chart?
An image in a quiz
333
Correct answer: 3.303
3,330
Q2.
What is twice the size of 120?
Correct Answer: 240
Q3.
Which of these numbers is a multiple of 10?
405
Correct answer: 60
99
Correct answer: 2,050
Q4.
What is the missing number in the following equation? 23 = ÷ 10
Correct Answer: 230
Q5.
Packs of pencils contain 10 pencils. There are 11 packs. Which equation shows how many pencils there are?
Correct answer: 11 × 10 = 110
11 + 10 = 21
11 × 11 = 132
Q6.
True or false: To find one-tenth times the size, divide by ten.
Correct answer: True
False

6 Questions

Q1.
What is the missing factor in the equation? × 100 = 800
Correct Answer: 8
Q2.
All multiples of one hundred have both a tens and ones digit of zero. True or False?
Correct answer: True
False
Q3.
Jars of marbles contain 100 marbles altogether. There are 4 jars in the classroom. Which equation shows how many marbles are in the classroom altogether?
Correct answer: 4 × 100 = 400
4 + 100 = 104
4 × 4 × 100 = 1,600
Q4.
Tick the numbers that are multiples of 100
460
250
108
Correct answer: 900
Correct answer: 600
Q5.
Tick the numbers that are multiples of 100
3,860
Correct answer: 4,600
1,020
Correct answer: 2,000
2,001
Q6.
True or false: All multiples of one-hundred have a digit greater than zero in the hundreds.
True
Correct answer: False