A way of recording using columns to set out and calculate a multiplication.

A way of recording the steps of a calculation focusing on partitioning one or more factors and showing partial products.

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

Multiply a 3-digit by a 1-digit number with multiple regroups

Maths

In this unit pupils will learn to multiply a 3-digit number by a single-digit number using expanded and short multiplication.  In the future 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 the prior unit pupils multiplied a 2-digit number by a single-digit number using partitioning and representations and used expanded multiplication and short multiplication. In this unit pupils will multiply a 3-digit number by a single-digit number using expanded and short multiplication.

Multiplication by partitioning leading to short multiplication (3 by 1-digit)

Match the factor pair to the correct product.

Find the missing partial product in this expanded multiplication.

Look at Andeep's calculation. How many times did he regroup?

Match the equation to the correct partial product expression.

Use short or expanded to solve: 487 × 6 Write the answer in numeral form.

Look at the image. How many cakes did Jacob bake?

Order the multiplication equations in ascending order.

___ and ___ are the partial products in this expanded multiplication.

True or false: 2 tens have been regrouped from the ones to the tens.

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