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Maths · Number

Multiply whole numbers or decimals

Calculate one multiplication using place-value reasoning or a written method.

Free to use and free to share. There is no sign-up, no score, and nothing a child does here is recorded or sent anywhere.

Practise it now

Do not work it out exactly. Slide the marker to where you think the answer lands, then lock it in.

This exercise practises multiply whole numbers or decimals alongside its own main skill, Estimation.

It covers most of this skill rather than all of it.

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A worked example

One question of the kind this skill is tested with, worked all the way through: the reasoning, and what the wrong answers are there to catch.

Multiplying a value read off the line

Point A is marked on the number line. What is the value at A multiplied by 8?

Each small step on this line is worth 1, and every labelled tick is ten steps on.

  1. 30
  2. 66
  3. 176
  4. 154

Answer: 176

How you get there

A sits at 22, so the calculation is 22×8=176. The multiplier is a single digit, so work along the columns from the right and carry into the next one.

Why the other answers tempt

Getting the digits right is only half of it: the decimal point has to land in the right column too.

If they are stuck, say this

Read what A is worth off the line first, then work out 8 lots of it, one column at a time from the right.

Now do it live in Roughly Right

What this exercise is doing

Roughly Right

Do not work it out exactly. Slide the marker to where you think the answer lands, then lock it in.

This engine’s own main skill is Estimation. It practises multiply whole numbers or decimals alongside it, and covers most of it rather than all.

Estimating is a skill in its own right, and in the 11+ it is your safety net: it tells you instantly whether an answer you have calculated is believable. The trick is to round each number to the nearest ten (or hundred) FIRST, multiply the easy numbers, then nudge. 49 rounds up to 50 and 21 rounds down to 20, so 50×20=1000. The real answer is 1029, and you got within a whisker of it without doing any long multiplication. Notice the two roundings pulled in opposite directions, which is why the estimate lands so close.

What to say if they get stuck

  1. Round both numbers to something friendly before you slide.
  2. 49 is nearly 50, and 21 is nearly 20. Those two are much easier to multiply.
  3. 50×20=1000, so the marker belongs just above the halfway mark of this line.

Open Roughly Right on its own page to share it

Where multiply whole numbers or decimals sits in the 11+

The 11+ does not test these skills in isolation, and practising one in the wrong order wastes the practice. These are the skills the curriculum map connects this one to.

This is one piece of

Solve a multi-step problem

A multi-step context may compose a multiplication step.

How multiply whole numbers or decimals differs from the skills beside it

The same exercise practises one other skill, and telling them apart is often the difficulty rather than the exercise itself. On this page the skill is: calculate one multiplication using place-value reasoning or a written method, and it stops where excludes selecting multiplication from context.

Related maths skills

All maths 11+ skills

Questions parents ask about multiply whole numbers or decimals

Answered from what the skill map records about this skill, not from a template. Every answer here is on the page, and the same questions are the page's FAQ structured data.

Calculate one multiplication using place-value reasoning or a written method. It is one of 55 named maths skills in the 11+, in the number strand, and this page carries 1 interactive exercise that practises it.

Knowing which maths topic to practise is most of the work

A free diagnostic covers arithmetic, fractions, geometry, measure and data handling, and comes back with the topics to spend the next few weeks on.