Any of the multiplication results we get leading up to an overall multiplication result is a partial product.

The process of unitising and exchanging between place values is known as regrouping.

Explain how to use long multiplication to multiply a 4-digit by a 2-digit number

Maths

Explain how to multiply a 3-digit number by a 2-digit number

Explain how to use long multiplication to multiply two 2-digit numbers regrouping ones to tens

Explain how to use long multiplication to multiply two 2-digit numbers with regrouping

Explain how to use long multiplication to multiply a 3-digit by a 2-digit number

Explain how to use the associative law to multiply efficiently

Explain when it is efficient to use factorising or long multiplication to multiply by 2-digits

Dividing numbers with up to 4 digits by multiples of 10

Using short and long division to divide by a 2-digit divisor

Dividing by a 2-digit divisor including using long division

Solve problems with 4-digit dividends using factors and long division

Dividing by a 2-digit divisor with a remainder

Use long division with fraction remainders

Use long division with decimal remainders

Solve problems involving remainders in context

In this unit pupils will learn to multiply a 3-digit by a 2-digit number They will use accurately short and long division and use a ratio chart to solve short and long division. In the future unit pupils will add, subtract, divide and multiply with integers, decimals, positive and negative values.

In the prior unit pupils will multiply a 3-digit number by a single-digit number using expanded and short multiplication. In this unit pupils will learn why the product stays the same when one factor is doubled and the other is halved and explain the effect on the product when scaling the factors by the same amount. 

In this unit pupils will extend their understanding of formal calculation strategies to multiply and divide by 2-digit numbers, explaining when other strategies are more efficient.

Multiplying and dividing by 2-digit numbers

Look at the long multiplication below. The highlighted number is known as the {{ }}.

Complete the long multiplication to find the product.

The Olympic stadium sells tickets for various events. Each event has 3,145 tickets available, and there are 23 events. How many tickets are sold in total? {{ } tickets

Each of the 3,414 athletes will receive 22 bottles. How many water bottles are needed in total? {{ }} bottles

What is the missing digit in the long multiplication?

Match the multiplication expressions to their products.

Complete the long multiplication algorithm to find the product.

Sam shuffles some cards and arranges them as long multiplication. Use this to calculate the product.

Exit Quiz

Look at the long multiplication below. The highlighted number is known as the .