Explain the effect on the quotient when scaling the dividend and the divisor by 10 | Maths

Starter quiz

23 × 10 = ______

'230' ✓
170 ÷ 10 = ______

'17' ✓
Look at the bar model. What is the missing quotient? 160 ÷ 40 = ______

'4' ✓
Use the complete equation to work out the missing factor in the equation beneath. It is a 2-digit number.

'15' ✓
Use the complete equation to work out the missing factor in the equation beneath. It is a 2-digit number.

'44' ✓
What is the missing factor in this equation? It is a 2-digit number.

'20' ✓

Exit quiz

Match each number in the equation to the correct keyword: 48 ÷ 4 = 12

48

⇔

dividend ✓

4

⇔

divisor ✓

12

⇔

quotient ✓
Look at the diagram. What is the missing divisor?

'100' ✓
What is the missing number in this equation? 30 ÷ 5 = 300 ÷ ______

'50' ✓
What is the missing number in this equation? 48 ÷ 4 = ______ ÷ 40

'480' ✓
630 ÷ 90 = ______

'7' ✓
840 ÷ 70 = ______

'12' ✓

Worksheet

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Presentation

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Video

Lesson Details

Key learning points

If the dividend and divisor are both scaled by 10, the quotient will remain the same.
Place value and unitising help to explain the effect on the quotient when scaling the dividend and divisor by 10
If 6 divided by 3 is equal to 2 then 6 tens divided by 3 tens is equal to 2

Common misconception

It's important that pupils avoid saying, 'ten times smaller' to avoid misconceptions around the structure of division.

Describe relationships by saying, 'divide by ten', or referring to the amounts involved e.g. 'The dividend is seven hundred. It is divided by ten. The dividend is now seventy.'

Keywords

Dividend - The dividend is the amount that you want to divide.
Divisor - A divisor is the number we divide by.
Quotient - A quotient is the result after division has taken place. It is the whole number part.