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Math · Grade 3 Math

Chapter 2: Rounding, Fluency, and Measurement

Subtracting Within 1,000 Fluently

Break a unit open when you need to.

Lesson
5
Time
About 14 minutes
0 of 8 done

Step 1: Let's Learn

Read it, or press Listen and follow the words.

Check every column before you start. Any of them might be short.

Break a unit open

If the ones are short, break a ten. If the tens are short, break a hundred.

Across a zero

If there are no tens to break, break a hundred first, then break one of the new tens.

Check by adding

Add your answer to what you took away. You should get back to the start.

Opening a unit, once more

When a column has too little to subtract from, open one unit from the column to its left: a hundred becomes ten tens, a ten becomes ten ones. The value of the number never changes — only how it is packaged. Everything about three-digit subtraction rests on this one move.

Counting up instead

For 503 - 486, subtracting in columns means opening across a zero, which is fiddly. Counting up is easier: from 486, add 4 to reach 490, then 10 to reach 500, then 3 to reach 503. That is 4 + 10 + 3 = 17. Same answer, no regrouping at all.

Choosing between the two

When the numbers are close together, count up. When they are far apart, subtract in columns. Recognising which situation you are in is a genuine part of being fluent, and it is why fluency is not the same as memorising one procedure.

Step 2: Try It Yourself

Tap and try it out.

Break a hundred or a ten open when a column runs short.
Start with
Taken away

What is left

Hundreds

3

Tens

5

Ones

5

502 147 = 355

Take 147 away from 502. The faded blocks are the ones that left.

Step 3: Watch an Example

One step at a time.

Watch Ana Cross a Zero

Ana works out 502 − 147.

  1. Step 1

    She checks the ones: 2, and 7 have to go. Not enough.

Step 4: Your Turn

Practice makes it stick.

The Collection

Problem 1 of 2

A collection of 613 stamps loses 248. How many are left?

stamps

The Target

Problem 2 of 2

A target of 800 has 342 done. How many are left?

left

Subtract Within 1,000

1 of 4

624 − 358 = ?

2 of 4

700 − 265 = ?

3 of 4

486 − 253 = ?

4 of 4

Check it: 233 + 253 = ?

Step 5: Quick Check

Show what you know.

Question 1 of 2

905 − 348 = ?

Question 2 of 2

How do you check a subtraction?

What You Learned

  • Check every column before you start.
  • Break a hundred or a ten when a column runs short.
  • Check the answer by adding it back.