Subtract a 1-digit number from a 3-digit number

Part ofMathsAdding and subtractingYear 3

Subtraction methods

Two children stand by a screen showing the calculation 472 - 3 =. One child is pointing at the equation and the other is thinking.

Subtraction is when you take away a number or an amount from another number or amount to work out what is left.

There are different things you can use to help you subtract. You can use number lines, place value charts and place value counters.

Knowing your number bonds and how to partition numbers can make subtraction easier. It can even help you to do it in your head.

Two children stand by a screen showing the calculation 472 - 3 =. One child is pointing at the equation and the other is thinking.
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Quiz: Subtracting a 1-digit number from a 3-digit number

Test out your knowledge of subtracting a 1-digit number from a 3-digit number with this quiz, then read on to complete the page.

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Subtracting using hundreds, tens and ones

It can help to break a number down into hundreds, tens and ones when you are subtracting.

Let's take a look at an example.

'A class has 245 pencils. If Fred needs 7 pencils to draw his picture, how many pencils are left?'

Using the information in this question, you need to work out:

245 - 7

Let's start by breaking the number 245 into hundreds, tens and ones.

Image gallerySkip image gallerySlide1 of 3, place value table showing 2 packs or 100 pencils, 4 packs of ten pencils, and 5 individual pencils. , Here are the 245 pencils arranged in a place value chart. You can see there are 2 packs containing 100 pencils, 4 packs containing 10 pencils and 5 individual pencils. There are 245 pencils in total.
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Subtracting using a number line

Knowing your number bonds to 10 can really help with subtraction.

Sometimes, you might need to cross over a ten to find the answer. This is called bridging a ten, which means going past the ten.

You can use a number line to help you count back and bridge a ten while subtracting.

Let's look at an example:

353 - 6

To work out 353 - 6, start on 353 and count back 6.

A number line from 345 to 353. Starting at 347, jumps of -1, -2, -3, -4, -5, and -6 are shown, ending at 347.

You'll bridge the ten at the number 350.

353 - 6 = 347

Another way to bridge a 10 when subtracting is to break up the 1-digit number.

Let’s work out the answer to another calculation:

595 - 7

Start by putting 595 on your number line.

Next, find the nearest ten below 595. That’s 590. Mark this on the number line and jump back.

595 is 5 away from 590. You have to jump back 5.

A number line from 590 to 595. A jump of -5 is shown from 595 back to 590.

Now, you still need to take away 2 more. This is because the original 7 has been split into 5 and 2. You have only taken away 5 so far.

So subtract 2 from 590.

A number line from 588 to 595. From 595 there is a backwards jump of - 5 goes from 595 to 590, and another jump of - 2 goes from 590 to 588.

If you know that 10 – 2 = 8, you can use that to help.

590 - 2 = 588

Therefore the answer is:

595 - 7 = 588

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Finding the difference

Here is a missing number problem.

To solve this problem you need to find the difference between 284 and 291.

An equation with a a blank square representing a missing number. 291 minus blank equals 284.

There are two ways of working this out using a number line.

You can use subtraction…

Start at the greatest number, 291, and jump back to the nearest multiple of ten, which is 290. Then jump back to the smallest number, 286.

A number line from 284 to 292. Starting at 291, a backwards jump of - 1 goes to 290, and another backwards jump of - 4 goes to 286.

Using the number line you can see:

291 − 1 − 4 = 286

You have subtracted 5 altogether, so the missing number is 5.

291 − 5 = 286

Or, you can also use addition…

Start at the smallest number, 286, jump onto the next multiple of ten, which is 290, then jump on to 291.

A number line from 284 to 292. Starting at 286, a jump of + 4 goes to 290, followed by a jump of + 1 to 291.

Using the number line you can see:

286 + 4 + 1 = 291

The answer is 5 again:

291 - 5 = 286

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Example 1

Use your knowledge of hundreds, tens and ones to complete the number sentence shown in the picture below.

Image gallerySkip image gallerySlide1 of 4, A place value chart showing five hundreds, three tens, and four ones, with '- 9 =' written to the side of the chart., Can you subtract using your knowledge of hundreds, tens and ones?

Work out the answer to the calculation: 534 - 9

If you need help, follow the steps in the slideshow above.

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Example 2

Use your knowledge of partitioning to solve this number sentence.

A number line showing numbers 593 to 602. A part whole model with the number 5 in a circle, below it connected by a line to the circle above are two circles.

Work out the answer to: 601 - 5 =

This number line and a part-whole model will help you.

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