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P3 Large numbers and operation order

Today’s problem — free all day, every step. Every day has one.

multiply up to three digits by one digit

Calculate 407 × 6.

One step of the worked solution to multiply up to three digits by one digit, drawn in pencil.
5 steps, drawn in pencil

See all 5 steps

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The pattern behind it: Large numbers and operation order

Group digits by place value, then do brackets and multiplication or division before addition or subtraction.

In this one. The written multiplication algorithm preserves place values while regrouping.

Order changes the resultno bracketsmultiply before adding: 90bracketsbrackets first: 378

How to spot it

Two numbers to add with carrying, several numbers to put in order, or a sum mixing addition, multiplication and brackets, all point here.

Common mistake

Children forget to carry a ten into the next column, or compare digits from the left without first checking the numbers have the same number of digits.

Try one like it

Standard add two-digit numbers mentally Calculate 94 + 38 mentally.
All 30 with this pattern →

The 33 problem patterns

All 33 patterns, one to a page — the 19 behind Primary 5 and 6 word problems, and the skills the younger years are built on. The bar model, how to spot it in the question, and the mistake children make. A booklet you can print. Free.

A PDF, and a note when new solutions go up.