how do you multiply 7 x 0.15?. in this lesson you will learn how to multiply decimals by whole...
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![Page 1: How do you multiply 7 x 0.15?. In this lesson you will learn how to multiply decimals by whole numbers by using an area model](https://reader036.vdocuments.us/reader036/viewer/2022062519/5697c02e1a28abf838cda23c/html5/thumbnails/1.jpg)
How do you multiply
7 x 0.15?
![Page 2: How do you multiply 7 x 0.15?. In this lesson you will learn how to multiply decimals by whole numbers by using an area model](https://reader036.vdocuments.us/reader036/viewer/2022062519/5697c02e1a28abf838cda23c/html5/thumbnails/2.jpg)
In this lesson you will learn how to multiply decimals by whole numbers by using an
area model.
![Page 3: How do you multiply 7 x 0.15?. In this lesson you will learn how to multiply decimals by whole numbers by using an area model](https://reader036.vdocuments.us/reader036/viewer/2022062519/5697c02e1a28abf838cda23c/html5/thumbnails/3.jpg)
Let’s ReviewLet’s Review
Hundreds
Tens Ones
2 groups of ten = 20
3 single units = 3
1 group of 100 = 100
Ones
Hundreds Tens Ones
1 2 3
![Page 4: How do you multiply 7 x 0.15?. In this lesson you will learn how to multiply decimals by whole numbers by using an area model](https://reader036.vdocuments.us/reader036/viewer/2022062519/5697c02e1a28abf838cda23c/html5/thumbnails/4.jpg)
Let’s ReviewLet’s Review
Whole Unit (Ones)
Tenths
Hundredths
![Page 5: How do you multiply 7 x 0.15?. In this lesson you will learn how to multiply decimals by whole numbers by using an area model](https://reader036.vdocuments.us/reader036/viewer/2022062519/5697c02e1a28abf838cda23c/html5/thumbnails/5.jpg)
Let’s ReviewLet’s Review
Tenths Hundredths
Ones Tenths
Hundredths
1 2 3
1.23
1 Whole 2 3
![Page 6: How do you multiply 7 x 0.15?. In this lesson you will learn how to multiply decimals by whole numbers by using an area model](https://reader036.vdocuments.us/reader036/viewer/2022062519/5697c02e1a28abf838cda23c/html5/thumbnails/6.jpg)
Let’s ReviewLet’s Review
Multiplication is repeated addition
5 x315
3 + 3 + 3 + 3 + 3 = 15
![Page 7: How do you multiply 7 x 0.15?. In this lesson you will learn how to multiply decimals by whole numbers by using an area model](https://reader036.vdocuments.us/reader036/viewer/2022062519/5697c02e1a28abf838cda23c/html5/thumbnails/7.jpg)
Let’s ReviewA Common Mistake
Forgetting to take the decimal into consideration when multiplying.
0.1 x 11 ≠ 11
![Page 8: How do you multiply 7 x 0.15?. In this lesson you will learn how to multiply decimals by whole numbers by using an area model](https://reader036.vdocuments.us/reader036/viewer/2022062519/5697c02e1a28abf838cda23c/html5/thumbnails/8.jpg)
Let’s ReviewCore Lesson Smart Estimate7 x 0.15
7 x 0.1 is 7 tenths
7 x 0.2 is 14 tenths
14 tenths iswritten 1.4
Smart estimate:
Between 0.7 and 1.4Around 1
0.15 is halfway between 0.1 and
0.2
0.7 1.4
7
x0.15
= 7
≈ x0.1
= 7
≈ x0.2
![Page 9: How do you multiply 7 x 0.15?. In this lesson you will learn how to multiply decimals by whole numbers by using an area model](https://reader036.vdocuments.us/reader036/viewer/2022062519/5697c02e1a28abf838cda23c/html5/thumbnails/9.jpg)
Let’s ReviewCore Lesson 7 x 0.15
Ones Tenths
Hundredths
1 0 5
This is a reasonable
answer since it is close to my
smart estimate
![Page 10: How do you multiply 7 x 0.15?. In this lesson you will learn how to multiply decimals by whole numbers by using an area model](https://reader036.vdocuments.us/reader036/viewer/2022062519/5697c02e1a28abf838cda23c/html5/thumbnails/10.jpg)
Let’s ReviewCore LessonA pencil costs $0.28.
How much do 6 pencils cost?
$0.28 is close to $.25
Smart estimate: Around $1.50
$1.50
6
x0.28
= 6
≈ x0.25
![Page 11: How do you multiply 7 x 0.15?. In this lesson you will learn how to multiply decimals by whole numbers by using an area model](https://reader036.vdocuments.us/reader036/viewer/2022062519/5697c02e1a28abf838cda23c/html5/thumbnails/11.jpg)
Let’s ReviewCore Lesson 6 x $0.28
Ones Tenths
Hundredths
1 6 8
This is a reasonable
answer since it is close to my
smart estimate
![Page 12: How do you multiply 7 x 0.15?. In this lesson you will learn how to multiply decimals by whole numbers by using an area model](https://reader036.vdocuments.us/reader036/viewer/2022062519/5697c02e1a28abf838cda23c/html5/thumbnails/12.jpg)
In this lesson you have learned how to multiply decimals by whole numbers by using an
area model.
![Page 13: How do you multiply 7 x 0.15?. In this lesson you will learn how to multiply decimals by whole numbers by using an area model](https://reader036.vdocuments.us/reader036/viewer/2022062519/5697c02e1a28abf838cda23c/html5/thumbnails/13.jpg)
Let’s ReviewGuided Practice
5 x 0.25
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Let’s ReviewExtension Activities
Explain why the answer is a decimal when you multiply a whole number by a decimal.
![Page 15: How do you multiply 7 x 0.15?. In this lesson you will learn how to multiply decimals by whole numbers by using an area model](https://reader036.vdocuments.us/reader036/viewer/2022062519/5697c02e1a28abf838cda23c/html5/thumbnails/15.jpg)
Let’s ReviewExtension Activities
Estimate the answer and then use an area model to show the multiplication of 4 x 0.35.
![Page 16: How do you multiply 7 x 0.15?. In this lesson you will learn how to multiply decimals by whole numbers by using an area model](https://reader036.vdocuments.us/reader036/viewer/2022062519/5697c02e1a28abf838cda23c/html5/thumbnails/16.jpg)
Let’s ReviewQuick Quiz
Which area model shows 3 x 0.18?
A B C D