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

The magnitude of a number is its distance from zero.

Use place value to explain removing the zero in the ones from a multiple of ten when we divide by 10

Maths

Explain the relationship between multiplying a number by 10 and multiples of 10

Understand that multiplying by 10 makes a number ten times the size

Use place value to explain placing a zero after the final digit when we multiply whole numbers by 10

Understand that dividing a number by 10 makes it one-tenth times the size

Explain the relationship between multiplying a number by 100 and multiples of 100

Explain the use of placeholders when multiplying whole numbers by 100

Explain the removal of placeholders when dividing whole numbers by 100

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

Explain how making a factor 10 times the size affects the product

Explain how making the dividend 10 times the size affects the quotient

Explain how making a factor 100 times the size affects the product

Explain how making the dividend 100 times the size affects the quotient

Scale known multiplication facts by 100

Scale division facts derived from multiplication facts by 100

In this unit pupils will explain the relationship between multiplying and dividing a number by 10 and 100 and multiples of 10 and 100. In the future unit pupils will describe represent and order tenths as decimal fractions. They will round decimal numbers with tenths to the nearest whole number.

In the prior unit pupils used knowledge of the distributive law to calculate products beyond known times tables facts. In this unit pupils will explain the relationship between multiplying and dividing a number by 10 and 100 and multiples of 10 and 100. 

In this unit pupils will explain the relationship between multiplying and dividing a number by 10 and multiples of 10.

Understand what happens when a number is multiplied or divided by 10 and 100

What happens to the value of digits as they move right, down the place value columns as shown in the image.

What equation is being represented by the place value counters shown here?

What is the missing number in the following equation?
91 = {{ }} ÷ 10

What is the equation being represented in the place value chart showing before and after?

True or false: To divide by ten, you just take away zero.

What is the missing factor in the following equation? {{ }} × 10 = 540

What is the missing factor in the following equation? {{ }} × 10 = 630

Match the numbers with those that are ten times their size.

Match the numbers to the numbers that are one tenth times the size.

What is the missing number in the following equation?
11 = {{ }} ÷ 10

What is the missing number in the following equation?
14 = {{ }} ÷ 10

Starter Quiz

What is the missing factor in the following equation? × 10 = 540