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

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

Numbers we can multiply together to get another number.

Multiply a 3-digit by a 1-digit number with no 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)

Select the correct expanded multiplication for this base ten block representation.

Select the correct short multiplication for: 321 × 3

Use short multiplication to solve 323 × 3

Solve the worded problem using expanded or short: if all these boxes are the same height, how tall is the stack of boxes?

What is the next number in the sequence? 77, 70, 63, {{ }} 

Order the multiplication equations in descending order.

Select the correct expanded arrangement for 44 × 8

Select the correct short multiplication based on this arrangement.

Use expanded or short multiplication to solve: 33 × 3

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