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Math · Grade 2 Math

Chapter 4: Adding and Subtracting Within 200

Checking by Adding

Add your answer back and see if you return.

Lesson
8
Time
About 12 minutes
0 of 8 done

Step 1: Let's Learn

Read it, or press Listen and follow the words.

Adding undoes subtracting. That gives you a way to check yourself.

How to check

If 62 − 27 = 35, then 35 + 27 should give 62 back.

If it does not

You have found a mistake, and you found it yourself. That is worth doing.

Why adding back works

Subtraction removes an amount; adding it back returns you to where you started. If 63 - 28 = 35, then 35 + 28 must be 63. Any answer that fails this test is wrong, and the test is genuinely independent — you are doing a different operation, not just repeating the same steps.

Make it automatic

Get into the habit of checking every subtraction this way, not just the ones you feel unsure about. The errors you are most confident about are exactly the ones you would never think to check.

A second, faster check

Estimating is quicker but rougher. 63 - 28 is about 60 - 30 = 30, so an answer near 30 is plausible and an answer of 45 is not. Use estimation to catch big errors fast, and adding back to confirm the exact answer.

Step 2: Try It Yourself

Tap and try it out.

Two parts make a whole. Every subtraction has an addition that checks it.
  • 35 + 27 = 62

Step 3: Watch an Example

One step at a time.

Watch Leo Catch a Mistake

Leo works out 73 − 48 and gets 35.

  1. Step 1

    He checks by adding: 35 + 48.

Step 4: Your Turn

Practice makes it stick.

Checking Up

Problem 1 of 2

Ana says 84 − 29 = 55. Check it: what is 55 + 29?

A Wrong Answer

Problem 2 of 2

Leo says 52 − 38 = 24. What is 24 + 38?

Work It, Then Check It

1 of 4

61 − 34 = ?

2 of 4

Check it: what is 27 + 34?

3 of 4

90 − 47 = ?

4 of 4

Check it: what is 43 + 47?

Step 5: Quick Check

Show what you know.

Question 1 of 2

75 − 38 = ?

Question 2 of 2

How do you check a subtraction?

What You Learned

  • Adding undoes subtracting.
  • Add your answer to what was taken away.
  • If you get back to the start, you were right.