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How to multiply and divide by 0, 1, 10 and 100

Part of Mathematics and NumeracyMultiplyingYear 4

Multiplying and dividing

A girl sits at a table there are 10 blocks on the table.

Multiplication is working out how many groups of something you have altogether.

Division is working how many you get, after sharing a number between another number.

You can use place value charts to make multiplying and dividing easier to understand.

A girl sits at a table there are 10 blocks on the table.
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Activity: Multiply and divide by 0, 1, 10 and 100

Complete this interactive activity to understand how to multiply and divide by 0, 1, 10 and 100. Then put your knowledge to the test.

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Place value, multiplication and division

When you multiply a number by 0, the answer is always 0. When you multiply a number by 1, it just stays the same.

When you multiply a number by 10, it jumps one place to the left in the place value chart.

When you multiply a number by 100, it will jump two places to the left in the place value chart, as you are making it 100 times bigger.

A place value chart going from thousandths down to ones. There is an arrow going from the ones column to the tens column which is labelled with a ×10. There is another arrow going from the ones comuln to the hundreds column. This is labelled with a ×100.

When you divide a number by 10, it jumps one place to the right in the place value chart, because you are making it 10 times smaller.

When you divide a number by 100, it jumps two places to the right in the place value chart, as you are making it 100 times smaller.

A place value chart going from thousands down to tenths, with a decimal place between the ones column and the tenths column. There is an arrow going from tens to ones labelled ÷10 and an arrow going from tens down to tenths labelled ÷100.

The decimal point never moves; the numbers always move around the decimal point.

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Example 1

A child looks thoughtful.

If 15 × 0 = 0 because you have zero groups of fifteen things.

Then what is 0 × 12 = ?

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Example 2

A place value chart going from thousands down to ones. There is 6 in the tens column and 5 in the ones column.

What is 65 × 100?

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Example 3

A place value chart going from thousands down to hundredths. There is a 7 in the hundreds column, a 6 in the tens column and a 0 in the ones column.

What is 760 ÷ 100?

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Use your times tables and more maths skills to defeat monsters and reclaim the Kingdom of Mathematica

Play our fun maths game Guardians: Defenders of Mathematica
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More on Multiplying

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