Explain the removal of placeholders when dividing whole numbers by 100
I can use place value to explain removing the final 2 zeros from a multiple of 100 when we divide by 100
- Year 4
Explain the removal of placeholders when dividing whole numbers by 100
I can use place value to explain removing the final 2 zeros from a multiple of 100 when we divide by 100
Lesson details
Key learning points
- Dividing by one hundred moves all the digits two columns to the right making them one hundredth times the size.
- Multiples of 100 have zero in the tens and ones column.
- If you divide a multiple of 100 by 100, digits move two places right and the zeros in the ones and tens disappear.
Keywords
Scaling - Scaling is when a given quantity is made ___ times the size.
Inverse - Inverse means the opposite in effect. The reverse of.
Magnitude - A placeholder is where we use the digit zero to hold a place in a number and maintain place value.
Placeholder - The magnitude of a number is its distance from zero.
Common misconception
Many pupils believe that 'subtracting 2 zeros' is dividing by 100 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 2 zeros but changing place value.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.What is the inverse operation of multiplication?
Q2.Which of the following expression would undo multiplying a number by 100?
Q3.Match the numbers to the numbers that are one-tenth times the size.
Q4.What is the missing number in the following equation? 7 = ÷ 10
Q5.What is the missing number in the following equation? 27 = ÷ 10
Q6.True or false: If you divide a number by 10 it becomes one-tenth the size.
Assessment exit quiz
6 Questions
Q1.What is the missing operation and number in the image shown?
Q2.What is the missing operation and number in the image shown?
