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 two 2-digit numbers with regrouping

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 a 3-digit by a 2-digit number

Explain how to use long multiplication to multiply a 4-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

Select the correct long multiplication layout for 43 × 27

Look at the equation 145 × 23 = 3,335 145 and 23 are both __________.

Look at the long multiplication below. The number circled is known as a partial {{ }}.

T-shirts are displayed on racks. Each display rack holds 45 t-shirts, and there are 34 display racks in the shop. Which equation represents this?

T-shirts are displayed on racks. Each display rack holds 45 t-shirts, and there are 34 display racks in the shop. How many t-shirts are there? {{ }} t-shirts

There are 86 volunteers involved in each leg of the Olympic torch relay. If there are 48 legs of the relay, how many volunteers are involved in total?

Look at the equation 45 × 23 = 1,035    45 and 23 are both __________.

Use known facts to match the expression to its product.

Look at the long multiplication below. How many tens have been regrouped? {{ }} ten(s) has been regrouped.

Look at the long multiplication below. Calculate the missing partial product.

Use long multiplication to calculate.  A football match is selling tickets at £35  It sells 22 tickets on Tuesday. How much money was made altogether? £{{ }}

Use long multiplication to calculate.  A concert is selling tickets at £37 each. It sells 114 tickets on Thursday. How much money was made altogether? £{{ }}

Starter Quiz

Look at the equation 45 × 23 = 1,035 45 and 23 are both __________.