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Maths · Number

Scale by a power of ten

Multiply or divide a number by 10, 100, or 1000 using place value.

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

Multiply 0.166 by 1000.

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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.

Scaling by a power of ten

Point R is marked on the number line. What is the value at R multiplied by 1000?

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

  1. 37000
  2. 1037
  3. 370000
  4. 3700

Answer: 37000

How you get there

R sits at 37, so 37×1000=37000. Each digit moves 3 columns to the left, because 1000 is 3 place-value columns worth of tens; the decimal point itself never moves.

Why the other answers tempt

The digits change column, so counting zeros on the end of the answer is not a safe check.

If they are stuck, say this

Read what R is worth off the line, then move every digit 3 columns to the left and read the new number back.

Now do it live in Power Slider

What this exercise is doing

Power Slider

Multiply 0.166 by 1000.

0.166 x 1000=166. Each column on the board is worth ten times the one to its right, so multiplying by a thousand moves every digit 3 columns to the left - and the point never budges. Any column left empty between the digits and the point is filled with a zero, because place value has no gaps.

  1. Step 1. Slide. Multiply 0.166 by 1000 - slide the digits into place.
  2. Step 2. Read it. Now read the board. Which number is sitting on it?

What to say if they get stuck

  1. The decimal point is bolted to the board. It is the DIGITS that slide.
  2. Multiplying by a thousand slides every digit 3 columns to the left.
  3. Watch the units column as they go past - that is the digit sitting just to the left of the point at the end.

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Questions parents ask about scale by a power of ten

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.

Multiply or divide a number by 10, 100, or 1000 using place value. 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.