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Subtract within 100 Using Place Value Strategies

Students will subtract within 100 using strategies based on place value, including decomposing the minuend, counting up, and using known addition facts. Students will handle cases requiring ungrouping (borrowing) with understanding.

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Subtract within 100 Using Place Value Strategies

Grade 2 · Fluent Addition and Subtraction within 100 · question 1 of 3

0 of 12

12 rungs. A star at the top.

− 12 = 13

How it is taught

0:00 of 3:41

If ones on top are too small, break a ten.

The tens digit then goes down by 1.

Read it: Break a ten when the ones run short

85 − 59: there are 5 ones, and 9 must go. Break a ten into 10 ones: now 7 tens and 15 ones, and 9 can go. 85 − 59 = 26.

  1. Look at the ones: 5 ones, and 9 must go.
  2. Break 1 ten into 10 ones: 7 tens and 15 ones.
  3. Take away by place: 15 − 9 = 6 ones, 7 − 5 = 2 tens. 26.

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 9.

Check by adding back: 26 + 59 = 85.

When the ones run short, break a ten into 10 ones.

Taking 5 from 9 instead, because 9 − 5 is easy, and writing 34.

9 ones must go, and there are only 5. Break a ten first: 15 − 9 = 6. 85 − 59 = 26.

62 − 14 = ___ — 48. 4 ones must go, and there are only 2 ones loose. Break 1 rod into 10 ones. The same number, grouped differently: 5 rods and 12 ones. Take 14 away: 62 − 14 = 48.

52 − 27

Let's subtract fifty-two minus twenty-seven using place value.

Stack them up: tens line up with tens, ones line up with ones.

Look at the ones. Can we take seven away from two? No — two is too small.

So we ungroup! We'll trade one ten for ten ones.

Cross out the five tens. Now we only have four tens.

Those ten ones join the two ones, making twelve ones.

Now subtract the ones: twelve minus seven is five.

Subtract the tens: four tens minus two tens is two tens.

52 − 27 = ?Subtract using place valuetensones52−272 − 7 ? too small!Trade 1 ten for 10 ones41252ANSWER2552 − 27
Grade 2 · Ungrouping a ten to subtract

Fifty-two minus twenty-seven equals twenty-five. Great work!

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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