A multiple is the result of multiplying a number by another whole number.

A digit is one of the symbols of a number system. In our number system we use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9

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

Maths

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

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

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 is the missing number in the equation? {{ }} × 10 = 90

Select the correct ending to this sentence. To find ten times as many of something ...

Packs of pencils contain 10 pencils. There are 7 packs. Which equation shows how many pencils there are?

Tick the numbers that are multiples of 10

True or false: all multiples of ten have a zero in the tens column.

Which of these numbers is a multiple of 2?

What is the place value of the digit 4 in 345? 

What is the digit in the tens position in the number 563?

What is the missing factor in the following equation? {{ }} × 10 = 70

Tick the two equations that show that multiplication is commutative.

Which of the following expressions is equivalent to 13 × 7?

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

Lesson outcome