Mental Math · Subtraction · S3

Round and fix.

Taking away a number close to a round one? Round it up, take away the friendly number, then add back the little bit you over-removed. It's the round-and-fix idea again — this time for subtraction.

01 / THE METHOD

How to think about it.

Watch the method

Round and fix

38 is close to 40. Take away 40 (easy): 92 − 40 = 52. But that's 2 too many removed, so add 2 back: 52 + 2 = 54.

1 / 3
923892 - 38 = ?
1
384038 \approx 40

Round 38 to the friendly number 40.

2
9240=5292 - 40 = 52

Take away the friendly number — that part is easy.

3
52+2=5452 + 2 = 54

You took away 2 too many, so add 2 back.

02 / YOUR TURN

Practice until it feels easy.

Your turn

Solve it in your head.

Use the method, then check. Stuck? Reveal the steps.

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— / WHY IT WORKS

The idea underneath.

Over-remove, then give back

Subtracting 40 is easier than subtracting 38. You took away 2 extra, so you return those 2. Rounding up when subtracting always means adding back.

Why it works

Take 40 dollars to be safe, then realize you only owed 38, so you keep 2.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

73 − 19

1

Round

19 → 20. 73 − 20 = 53.

2

Fix

Removed 1 too many: 53 + 1 = 54.

EX 2medium

92 − 38

1

Round

38 → 40. 92 − 40 = 52.

2

Fix

Removed 2 too many: 52 + 2 = 54.

EX 3hard

700 − 288

1

Round

288 → 290. 700 − 290 = 410.

2

Fix

Removed 2 too many: 410 + 2 = 412.

04 / COMMON TRAPS

Where students slip.

Trap

Rounding up and then subtracting the extra (wrong direction).

Fix

When you take away too much, you must ADD back. 92 − 40 went too low, so + 2.

Trap

Mixing up the addition fix with the subtraction fix.

Fix

Adding 40 for 38 → take 2 back. Subtracting 40 for 38 → add 2 back. Picture whether you overshot up or down.

05 / QUIZ

Test yourself.

The Test

12 problems across three tiers. Auto-graded on submit. Hints and a full walkthrough on every question. Your work is saved on this device — sign in to keep it across devices.

0/12Answered
How to answerType just the value. Formatting won't trip you up — we ignore spaces, capital letters, commas, and subscript style, so t₁ = 5, d = 3 and t1=5,d=3 both count. For a list of numbers, separate them with commas (e.g. 3, 10, 17).
Core

Core (4)

C1

92 − 38 = ?

Need a hint?
  • Round the number you're taking away up to the nearest ten.
  • Subtract the round number, then add back the extra you removed.
C2

73 − 19 = ?

Need a hint?
  • Round the number you're taking away up to the nearest ten.
  • Subtract the round number, then add back the extra you removed.
C3

85 − 29 = ?

Need a hint?
  • Round the number you're taking away up to the nearest ten.
  • Subtract the round number, then add back the extra you removed.
C4

64 − 18 = ?

Need a hint?
  • Round the number you're taking away up to the nearest ten.
  • Subtract the round number, then add back the extra you removed.
Apply

Apply (4)

A1

245 − 58 = ?

Need a hint?
  • Round the number you're taking away up to the nearest ten.
  • Subtract the round number, then add back the extra you removed.
A2

173 − 48 = ?

Need a hint?
  • Round the number you're taking away up to the nearest ten.
  • Subtract the round number, then add back the extra you removed.
A3

326 − 29 = ?

Need a hint?
  • Round the number you're taking away up to the nearest ten.
  • Subtract the round number, then add back the extra you removed.
A4

254 − 97 = ?

Need a hint?
  • Round the number you're taking away up to the nearest ten.
  • Subtract the round number, then add back the extra you removed.
Extension

Extension (4)

E1

532 − 196 = ?

Need a hint?
  • Round the number you're taking away up to the nearest ten.
  • Subtract the round number, then add back the extra you removed.
E2

645 − 298 = ?

Need a hint?
  • Round the number you're taking away up to the nearest ten.
  • Subtract the round number, then add back the extra you removed.
E3

700 − 288 = ?

Need a hint?
  • Round the number you're taking away up to the nearest ten.
  • Subtract the round number, then add back the extra you removed.
E4

813 − 297 = ?

Need a hint?
  • Round the number you're taking away up to the nearest ten.
  • Subtract the round number, then add back the extra you removed.