CCSS
Fluently
and subtract
multi-digit
numbers using the
NS 2.1G4.NBT.4
Find the sum
or add
difference
of two
wholewhole
numbers
standard algorithm.
UNDERLYING SKILLS AND CONCEPTS:
subtraction basic facts;
regroup hundreds , tens and ones
between 0 and 10,000.
Subtract Across Zeros
1,000 is the same as
900 90 10
Sometimes there are zeros in subtraction.
a
K
ey Ide
You may need to regroup across more than
one place when you subtract across zeros.
E x am p l E
Sushu had 1,002 pennies. She traded 575 pennies for quarters.
How many pennies does Sushu have left?
Find 1,002 575.
Step 2: Now you can subtract ones.
12 5 7.
Record in the ones’ place.
Step 3: Compare the digits in the tens’ place.
79. You can subtract 7 from 9.
Subtract tens: 9 7 2. Record.
Step 4: Compare the digits in the hundreds’ place.
59. You can subtract 5 from 9.
Subtract hundreds: 9 5 4. Record.
Step 5: There are no thousands left.
Answer: Sushu has 427 pennies left.
page 90
0 9 9 12
1, 0 0 2
5 7 5
0 9 9 12
1, 0 0 2
12
5 7 5 5
7
7
0 9 9 12
1, 0 0 2
5 7 5
2 7
90
70
20
0 9 9 12
1, 0 0 2
5 7 5
4 2 7
0
900
500
400
9 9 12
1, 0 0 2
5 7 5
4 2 7
Chapter 8 – Lesson 3
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Step 1: Compare the digits in the ones’ place.
52. You cannot subtract 5 from 2. Regroup.
There are no tens. There are no hundreds.
There is 1 thousand. Regroup 1 thousand for
9 hundreds, 9 tens, and 10 ones.
Name
P RAC T I C E
Subtract.
1.
2.
8 0
2 8
5 0
2 7
6
9
4.
3
6
5.
5, 0 8
2, 4 6
3
7
7.
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3.
Math
Reasoning
0
3
2
8
4, 6 0
1, 2 4
2
4
2, 0 0
2 4
0
5
6.
7, 5 0
3, 4 8
4
6
8.
6, 0 3
4, 1 8
6 0
4 7
9.
5, 0 0
2, 2 0
7
9
Number Sense
MR 1.1
10. List some numbers you can subtract from 2,000
without regrouping. Explain.
0, 1,000 or 2,000. Possible explanation: all other
numbers would have a digit greater than 0 in the ones,
tens, or hundreds place. Since I can’t subtract from 0,
I’d need to regroup first.
Chapter 8 – Lesson 3
page 91
MCX94.HW.CL.G3.FM&Lesson.v211
8/3/04
13:56
Page 62
Name
…at home!
P RAC T I C E
Subtract.
2.
7 0
1 7
5
8
3.
4 0
2 5
4.
2
7
5 0
3 6
5.
4, 0 6
2, 2 5
4
6
7.
6.
6, 4 0
2, 3 7
3
5
8.
5, 0 2
3, 1 6
Math
Reasoning
0
4
1
5
3, 5 0
1, 4 3
1
3
3, 0 0
4 6
0
5
9.
6, 0 0
4, 3 2
8
1
Number Sense
MR 1.1
10. List some numbers you can subtract from 3,000
without regrouping. Explain.
0 or 1,000 or 2,000 or 3,000. Possible explanation: all
other numbers would have a digit greater than 0 in the
ones, tens, or hundreds place. Since I can’t subtract from
0, I’d need to regroup first.
page 62
Home Resource and Homework
Chapter 8 Lesson 3
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1.
MCX94TEG3Ch01_32.v8.9.3 2/21/01 14:45 Page 169
Name
P RAC T I C E
Subtract.
1.
7
9 16
8 0
2 8
2.
4
5 0
2 7
6
9
5 1 7
4.
4 10 7 13
5, 0 8
2, 4 6
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5
5.
3
7
9 12 10
6, 0 3
4, 1 8
0
3
4
3
6
9 14
7, 5 0
3, 4 8
5
8.
4
9
5, 0 0
2, 2 0
7
9
2, 7 9 8
2
8
1 2 4
6.
5
9 12
4, 6 0
1, 2 4
4
6
9 17
9 12
6 0
4 7
2
4
3, 3 5 8
4, 0 1 8
1, 8 4 7
Math
Reasoning
3.
2 2 7
2, 6 1 6
7.
9 13
9.
1
9
9 10
2, 0 0
2 4
0
5
1, 7 5 5
Number Sense
MR 1.1
10. List some numbers you can subtract from 2,000
without regrouping. Explain.
0, 1,000 or 2,000. Possible explanation: all other
numbers would have a digit greater than 0 in the ones,
tens, or hundreds place. Since I can’t subtract from 0,
I’d need to regroup first.
Chapter 8 – Lesson 3
Student Book Page
page 91
Name
…at home!
P RAC T I C E
Subtract.
2.
6 9 15
7 0
1 7
5
8
4 0
2 5
5 2 7
4.
5.
4
6
6, 4 0
2, 3 7
4 9 11 10
5, 0 2
3, 1 6
0
4
1, 8 5 6
Math
Reasoning
6.
3
5
8
1
1, 6 8 7
4 9 11
3, 5 0
1, 4 3
1
3
2, 0 6 8
9.
5 9 10
6, 0 0
4, 3 2
1
5
1 3 6
4, 0 2 8
8.
4 9 11
5 0
3 6
3 9 13
1, 8 0 8
7.
2
7
1 4 5
3 10 5 14
4, 0 6
2, 2 5
3.
3 9 12
2 9 9 10
3, 0 0
4 6
0
5
2, 5 3 5
Number Sense
MR 1.1
10. List some numbers you can subtract from 3,000
without regrouping. Explain.
0 or 1,000 or 2,000 or 3,000. Possible explanation: all
other numbers would have a digit greater than 0 in the
ones, tens, or hundreds place. Since I can’t subtract from
0, I’d need to regroup first.
page 62
Home Resource and Homework
Chapter 8 Lesson 3
C – © CSL Associates, Inc. All rights reserved.
1.