Do Now Write each fraction in the simplest form. 1. 2. 3. 4. Course 2 2-10 Equivalent Fractions and...
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Do Now Write each fraction in the simplest form. 1. 2. 3. 4. Course 2 2-10 Equivalent Fractions and Decimals 18 46 21 63 100 72 1 3 1 3 4 12 9 23 25 18 or 1 7 18 Hwk: p 22
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Transcript of Do Now Write each fraction in the simplest form. 1. 2. 3. 4. Course 2 2-10 Equivalent Fractions and...
Do NowWrite each fraction in the simplest form.
1. 2.
3. 4.
Course 2
2-10 Equivalent Fractions and Decimals
1846
2163
10072
13
13
412
923
2518 or 1 7
18
Hwk: p 22
EQ: How do I write fractions as decimals, and vice versa, and to determine whether a decimal is terminating or repeating?
Course 2
2-10 Equivalent Fractions and Decimals
M7N1.d Solve problems using rational numbers
Vocabulary
terminating decimalrepeating decimal
Insert Lesson Title Here
Course 2
2-10 Equivalent Fractions and Decimals
Course 2
2-10 Equivalent Fractions and Decimals
Player HitsAt
BatsBatting Average (thousandths)
Lance Berkman
Alex Rodriguez
Hitsat Bats
172 ÷ 544 ≈ 0.316
172 ÷ 601 ≈ 0.286
172 544172544
172 601 172601
To convert a fraction to a decimal, divide the numerator by the denominator.
Write each fraction as a decimal. Round to the nearest hundredth, if necessary.
Course 2
2-10 Equivalent Fractions and Decimals
A. 14
1.00 9.0 5.000
B. 95 C. 5
3
4 5 30.2
– 820
– 200
14 = 0.25
5 1
– 540
.8
– 400
95
= 1.8
1
– 3
20
.6
– 1820
– 18
6
20– 18
2
53 ≈ 1.67
6
Insert Lesson Title Here
Course 2
2-10 Equivalent Fractions and Decimals
Write each fraction as a decimal. Round to the nearest hundredth, if necessary.
A. 34
3.00 6.0 7.000
B. 65 C. 7
3
4 5 30.7
– 2 820
– 200
34 = 0.75
5 1
– 510
.2
– 100
65
= 1.2
2
– 6
10
.3
– 910– 9
3
10– 9
1
73 ≈ 2.33
3
Course 2
2-10 Equivalent Fractions and Decimals
The decimals 0.75 and 1.2 in Example 1 are terminating decimals because the decimals comes to an end. The decimal 0.333…is a repeating decimal because the decimal repeats a pattern forever. You can also write a repeating decimal with a bar over the repeating part.
0.333… = 0.3
0.8333… = 0.83
0.727272… = 0.72
Write each fraction as a decimal.
Additional Example 2: Using Mental Math to Write Fractions as Decimals
Course 2
2-10 Equivalent Fractions and Decimals
A.
4 5
4 5
x 2 2
= 8 10
= 0.8
B.
37 50
37 50
x 2 2
= 74 100
= 0.74
Write each fraction as a decimal.
Check It Out: Example 2
Course 2
2-10 Equivalent Fractions and Decimals
A.
3 5
3 5
x 2 2
= 6 10
= 0.6
B.
18 25
18 25
x 4 4
= 72 100
= 0.72
Write each decimal as a fraction in simplest form.
Course 2
2-10 Equivalent Fractions and Decimals
A. 0.018 B. 1.55
0.018 = 181,000 1.55 =
155100
=18 ÷ 2
1,000 ÷ 2=155 ÷ 5
100 ÷ 5
=3120
or 1 1120=
9500
You read the decimal 0.018 as “eighteen thousandths.”
Reading Math
Insert Lesson Title Here
Course 2
2-10 Equivalent Fractions and Decimals
Write each decimal as a fraction in simplest form.
A. 0.015 B. 1.30
0.015 = 151,000 1.30 =130
100
= 15 ÷ 51,000 ÷ 5
= 130 ÷ 10100 ÷ 10
= 1310
or 1 310
= 3200
Pop quiz
Quiz
Write each fraction as a decimal.
1.
3. 4.
Write each decimal as a fraction in simplest form.
5. 0.42
7. If your soccer team wins 21 out of 30 games,
what is your team’s winning rate?
2.6253.2
Insert Lesson Title Here
2150
69 8
Course 2
2-10 Equivalent Fractions and Decimals
165 2.
218
6. 8.625
0.70
710
1120 0.550.7
5 8
or 8
