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Subtract Within 1000 Using Place Value Strategies

Students subtract two and three-digit numbers within 1000 using place-value-based strategies including decomposing, regrouping (borrowing), and counting up. They apply the relationship between addition and subtraction to check their work.

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Subtract Within 1000 Using Place Value Strategies

Grade 3 · Addition and Subtraction Within 1000 · question 1 of 3

0 of 12

12 rungs. A star at the top.

What shows correct subtraction of 82 − 47?

How it is taught

0:00 of 4:34

Subtract hundreds, tens, and ones in their places.

Regroup if a place is too small to take from.

Read it: Break a ten to subtract

230 − 91: 1 one must go and there are 0 ones. Break a hundred into 10 tens, then a ten into 10 ones. What is left is 139.

  1. Start with the ones: 0 − 1 cannot be done, so break a ten into 10 ones.
  2. There are no tens to break, so first break a hundred into 10 tens.
  3. Take away by place: 10 − 1 = 9 ones, 12 − 9 = 3 tens, 1 hundred. 230 − 91 = 139.

A ten is 10 ones, and a hundred is 10 tens.

Breaking one changes how the number is grouped, not how much it is.

Then each place has enough to take away.

Take away by place. If a place has too few, break 1 from the next place.

Taking 0 from 1 and writing 1 in the ones.

The 91 is taken from the 230: break a ten, then 10 − 1 = 9 ones.

154 − 16 = ___ — 138. 6 ones must go, and there are only 4 ones loose. Break 1 rod into 10 ones. The same number, grouped differently: 4 rods and 14 ones. Take 16 away: 154 − 16 = 138.

524 − 268

Today we'll subtract big numbers. Imagine you have 524 marbles and you give 268 away — how many are left?

Stack them up, lining up the ones, tens, and hundreds.

Start at the ones. We need to take 8 away from 4 — but 4 isn't big enough.

No problem! We borrow one ten. The 2 tens becomes 1 ten, and the 4 ones grows into 14 ones.

Now 14 minus 8 is 6. Write 6 in the ones.

Move to the tens. We need 6 tens, but we only have 1.

Borrow again! The 5 hundreds becomes 4 hundreds, and the 1 ten grows into 11 tens.

Now 11 minus 6 is 5. Write 5 in the tens.

Last, the hundreds: 4 minus 2 is 2. Write 2 in the hundreds.

524 minus 268 is 256. Place value lets us borrow whenever we need!

524 marbles − 268 given awayHTO524−2684 − 8?1 − 6?11641152Check: 256 + 268 = 524 ✓ANSWER256marbles left
Grade 3 · 524 marbles, 268 given away — how many left?

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics
Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal
1 star — one skill mastered, every rung of its ladder climbed
Climbing now
Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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