Add and Subtract within 1000 Using Place Value Strategies

Students will move beyond models to apply place value strategies — such as decomposing numbers, adding or subtracting by place value, and using compensation — to efficiently add and subtract within 1000.

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Grade 2 · Addition and Subtraction within 1000 · question 1 of 3

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12 rungs. A star at the top.

230 + 140 =

How it is taught

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Place value strategies break numbers into hundreds, tens, and ones.

Making a hundred first can make adding friendlier.

Read it: Break a ten when the ones run short

166 − 58: there are 6 ones, and 8 must go. Break a ten into 10 ones: now 16 ones, and 8 can go. 166 − 58 = 108.

Look at the ones: 6 ones, and 8 must go.
Break 1 ten into 10 ones: 1 hundred, 5 tens and 16 ones.
Take away by place: 16 − 8 = 8 ones, 5 − 5 = 0 tens, 1 hundred. 108.

A ten is the same as 10 ones, so breaking it does not change how many there are.

Now there are enough ones to take 8.

Check by adding back: 108 + 58 = 166.

When a place runs short, break 1 of the next place into 10.

Taking 6 from 8 instead, because 8 − 6 is easy.

8 ones must go, and there are only 6. Break a ten first: 16 − 8 = 8. 166 − 58 = 108.

393 − 14 = ___ — 379. 4 ones must go, and there are only 3 ones loose. Break 1 rod into 10 ones. The same number, grouped differently: 8 rods and 13 ones. Take 14 away: 393 − 14 = 379.

326 + 247

Let's add three hundred twenty-six plus two hundred forty-seven. We can use place value to make it easy!

First, break apart three twenty-six. Three hundred, plus twenty, plus six.

Now break apart two forty-seven the same way. Two hundred, plus forty, plus seven.

Now add the hundreds. Three hundred plus two hundred is five hundred.

Next, add the tens. Twenty plus forty is sixty.

Then add the ones. Six plus seven is thirteen.

Now put the parts back together. Five hundred, plus sixty, plus thirteen.

That makes five hundred seventy-three. Three twenty-six plus two forty-seven equals five hundred seventy-three!

Grade 2 · Break apart each number, then add by place

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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