MathBrush
←  All problems

P5 Large numbers and operation order

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

divide by a multiple of a power of ten

Calculate 84,000 ÷ 700 without a calculator.

One step of the worked solution to divide by a multiple of a power of ten, drawn in pencil.
5 steps, drawn in pencil

See all 5 steps

MathBrush is being tested with a few parent groups, and every solution on the site is open to them — one household, all children. If you were given a code, it goes in once and this device remembers it.

I have a code → See the free ones

65 worked examples are free without a code, two from every pattern. No account, either way.

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. Dividing by 700 means dividing by 7 and by 100. Cancelling zeros alone is safe only when place value is preserved.

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 calculate with brackets Calculate (72 + 8) × 5.
All 12 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.