I CAN REGROUP TO SUBTRACT MIXED NUMBERS 5.4 Regrouping to Subtract Mixed Numbers.
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Transcript of I CAN REGROUP TO SUBTRACT MIXED NUMBERS 5.4 Regrouping to Subtract Mixed Numbers.
![Page 1: I CAN REGROUP TO SUBTRACT MIXED NUMBERS 5.4 Regrouping to Subtract Mixed Numbers.](https://reader036.fdocuments.us/reader036/viewer/2022082600/5a4d1b497f8b9ab0599a4bf1/html5/thumbnails/1.jpg)
I CAN REGROUP TO SUBTRACT MIXED NUMBERS
5.4 Regrouping to Subtract Mixed Numbers
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Review from YesterdayAdd or subtract.
1. 2.
3. 4.
5 8
6 5
911__
1120__ 2
9__
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Jimmy and his mother planted a tree when it was 1 ft tall. Now the tree is 2 ft tall. How much has the tree grown since it was planted?
34__
14__
14__ 3
4__
The difference in the heights can be represented by 2 – 1 .
14__
14__3
4__
You will need to regroup 2 because the fraction in 1 is greater than .
14__Divide one whole of 2 into fourths.
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2 14__ 1 5
4__
–1
14__
– 1______ ______
= 24__ 1
2__
34__
Regroup 2 as 1 .34__
54__
The tree has grown ft since it was planted.12__
141 1
414
14
14
114
14
14
14
1
1
1414
![Page 5: I CAN REGROUP TO SUBTRACT MIXED NUMBERS 5.4 Regrouping to Subtract Mixed Numbers.](https://reader036.fdocuments.us/reader036/viewer/2022082600/5a4d1b497f8b9ab0599a4bf1/html5/thumbnails/5.jpg)
23__
6 5 33__
–3 23__ –3 2
3__
______ ______
2
Subtract the fractions and then the whole numbers.
Write 6 as a mixed number with a denominator of 3. Rename 6 as 5 + .3
3__
13__
6 – 3
Additional Example 1A: Regrouping Mixed Numbers Subtract. Write each answer in simplest form.
![Page 6: I CAN REGROUP TO SUBTRACT MIXED NUMBERS 5.4 Regrouping to Subtract Mixed Numbers.](https://reader036.fdocuments.us/reader036/viewer/2022082600/5a4d1b497f8b9ab0599a4bf1/html5/thumbnails/6.jpg)
Check It Out: Example 1ASubtract. Write each answer in simplest form.
16__ 5
6__
7 16__ 6 7
6__ Rename 7 as 6 + 1 = 6 + + .
–2 5
6__ –2 5
6__
______ ______
4 26__
Subtract the fractions and then the whole numbers.
16__ 1
6__ 6
6__ 1
6__
Write the answer in simplest form.
= 4 13__
7 – 2
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25__ 7
10__
8 410__ 7 14
10__
Rename 8 as 7 + 1 = 7 + + . –6 710__ –6 7
10__
______ ______
1 710__ Subtract the fractions and then the
whole numbers.
410__ 4
10__ 10
10__ 4
10__
10 is a multiple of 5, so 10 is a common denominator.
8 – 6
8 – 7 = 1 Estimate the difference.
1 is close to the estimate of 1. The answer is reasonable. 710__
Check It Out: Example 1BSubtract. Write each answer in simplest form.
![Page 8: I CAN REGROUP TO SUBTRACT MIXED NUMBERS 5.4 Regrouping to Subtract Mixed Numbers.](https://reader036.fdocuments.us/reader036/viewer/2022082600/5a4d1b497f8b9ab0599a4bf1/html5/thumbnails/8.jpg)
Additional Example 2A: Measurement Application
Li is making a quilt. She needs 15 yards of fabric.
Li has 2 yards of fabric. How many more yards does she need?
34__
15 14 44__ Write 15 as a mixed number with a
denominator of 4. Rename 15 as 14 + .
–2 34__ –2 3
4__
______ ______
12
Subtract the fractions and then the whole numbers.
44__
14__
Li needs another 12 yards of fabric.14__
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Check It Out: Example 2A
Peggy is making curtains. She needs 13 yards of fabric.
Peggy has 4 yards of fabric. How many more yards does she need?
56__
13 12 66__ Write 13 as a mixed number with a
denominator of 6. Rename 13 as 12 + .
–4 56__ –4 5
6__
______ ______
8
Subtract the fractions and then the whole numbers.
66__
16__
Peggy needs another 8 yards of fabric.16__
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1. Subtract and identify the answer in simplest form.
A. C.
B. D.
Lesson Quiz for Student Response Systems
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2. Subtract and identify the answer in simplest form.
A. C.
B. D.
Lesson Quiz for Student Response Systems
![Page 12: I CAN REGROUP TO SUBTRACT MIXED NUMBERS 5.4 Regrouping to Subtract Mixed Numbers.](https://reader036.fdocuments.us/reader036/viewer/2022082600/5a4d1b497f8b9ab0599a4bf1/html5/thumbnails/12.jpg)
3. Subtract and identify the answer in simplest form.
A. C.
B. D.
Lesson Quiz for Student Response Systems
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4. A Dachshund weighs pounds. A Dandi Dinmont Terrier weighs 18 pounds. What is the difference, in pounds, in their weights?
A. C.
B. D.
Lesson Quiz for Student Response Systems