Use knowledge of the composition of 100 to multiply and divide by 100 in different ways | Maths

Starter quiz

What is the number being shown on the Gattegno chart?

'240' ✓
What is the number being shown on the Gattegno chart?

'3,010' ✓
What is the number being shown on the place value chart?

'42' ✓
What is the number being shown on the place value chart?

3,400 ✓
What is the missing number in the following equation? 10 × 8 = 70 + ______

'10' ✓
What is the missing number in the following equation? 3 × 100 = 150 × ______

'2' ✓

What is the equation being represented on this Gattegno chart?

2 × 10 = 20

20 × 10 = 200 ✓

20 ÷ 10 = 2

200 ÷ 10 = 20
What is the equation being represented on this Gattegno chart?

3 × 10 = 30

30 × 10 = 300

300 ÷ 100 = 3 ✓

300 ÷ 10 = 30
Match the equivalent expressions.

2 × 100

⇔

2 × 10 × 10 ✓

20 × 10 × 10

⇔

20 × 100 ✓

2,000 ÷ 100

⇔

2,000 ÷ 10 ÷ 10 ✓

200 ÷ 100

⇔

200 ÷ 10 ÷ 10 ✓
Match the equivalent expressions.

12 × 100

⇔

12 × 10 × 10 ✓

8 × 10 × 10

⇔

8 × 100 ✓

8,400 ÷ 100

⇔

8,400 ÷ 10 ÷ 10 ✓

500 ÷ 100

⇔

500 ÷ 10 ÷ 10 ✓
What is the missing number in the following equation? 11 × 10 × 10 = 11 × ______

'100' ✓
What is the missing number in the following equation? 3,400 ÷ 100 = 3,400 ÷ ______ ÷ 10

'10' ✓

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100 is ten groups of ten or ten times ten.
Multiplying by 100 is equivalent to multiplying by 10 and then multiplying by 10 again.
Each time you multiply by 10 the digits move one place to the left in the place value chart.

Pupils may not have much experience in using a Gattegno chart.

Consider pre-teaching for children who lack confidence using Gattegno chart.

Placeholder - A placeholder is where we use the digit 0 to hold a place in a number and maintain place value.
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