Starter quiz
- What is the missing factor in the following equation? ______ × 10 = 540
- '54' ✓
- What is the missing factor in the following equation? ______ × 10 = 630
- '63' ✓
- Match the numbers with those that are ten times their size.
- 3⇔30 ✓
- 58⇔580 ✓
- 71⇔710 ✓
- 82⇔820 ✓
- Match the numbers to the numbers that are one tenth times the size.
- 30⇔3 ✓
- 90⇔9 ✓
- 70⇔7 ✓
- 60⇔6 ✓
- What is the missing number in the following equation? 11 = ______ ÷ 10
- '110' ✓
- What is the missing number in the following equation? 14 = ______ ÷ 10
- '140' ✓
Exit quiz
What happens to the value of digits as they move right, down the place value columns as shown in the image.- They become one tenth times the size. ✓
- They become ten times the size.
-
What equation is being represented by the place value counters shown here?- 3 × 10 = 30
- 30 ÷ 10 = 3 ✓
-
What equation is being represented by the place value counters shown here?- 13 × 10 = 130
- 130 ÷ 10 = 13 ✓
-
- What is the missing number in the following equation? 91 = ______ ÷ 10
- '910' ✓
What is the equation being represented in the place value chart showing before and after?- 230 × 1 = 230
- 23 × 10 = 230
- 5 × 5 = 25
- 230 ÷ 10 = 23 ✓
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- True or false: To divide by ten, you just take away zero.
- True
- False ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- Dividing by ten moves all the digits one column to the right making them one tenth times the size.
- If you divide a multiple of 10 by ten, the numbers move one place to the right and the zero in the ones disappears.
- The zero only disappears if you are dividing a multiple of 10 by ten.
Common misconception
Many pupils believe that 'subtracting zero' is dividing by 10 which can lead to difficulties later on when they are introduced to decimal numbers.
Don't dismiss it. It's a pattern that has been spotted and generalised. Do encourage the children to work with physical resources that don't involve the numbers themselves so they can see that it's not subtracting zero but changing place value.
Keywords
Placeholder - A placeholder is where we use the digit zero to hold a place in a number and maintain place value.
Magnitude - The magnitude of a number is its distance from zero.
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