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Preparation for NS1.1 Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Also.

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Presentation on theme: "Preparation for NS1.1 Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Also."— Presentation transcript:

1 Preparation for NS1.1 Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line. Also covered: NS2.4 California Standards

2 Vocabulary terminating decimal repeating decimal
A decimal that comes to an end. A decimal that repeats a pattern forever.

3 Batting Average (thousandths)
In baseball, a player’s batting average compares the number of hits with the number of times the player has been at bat. Player Hits At Bats Batting Average (thousandths) Lance Berkman Alex Rodriguez Hits At Bats 172 544 172 544 172 ÷ 544 ≈ 0.316 172 601 172 601 172 ÷ 601 ≈ 0.286 To convert a fraction to a decimal, divide the numerator by the denominator.

4 Example 1: Writing Fractions as Decimals
Write each fraction as a decimal. Round to the nearest hundredth, if necessary. 1 4 9 5 5 3 A. B. C. 1 .8 1 .6 6 6 0.2 5 1.00 4 5 9.0 3 5.000 – 8 – 3 – 5 20 40 20 – 20 – 40 – 18 20 – 18 1 4 9 5 5 3 = 1.8 = 0.25 20 ≈ 1.67 – 18 2

5 The decimals 0.75 and 1.2 are terminating decimals because the decimals comes to an end. The decimal 0.333… is a repeating decimal because it includes a group of one or more digits (where all digits are not zero) that repeats forever. You can also write a repeating decimal with a bar over the repeating part. 0.333… = 0.3 0.8333… = 0.83 … = 0.72

6 Example 2: Using Mental Math to Write Fractions as Decimals
Write each fraction as a decimal. 4 5 A. 4 5 2 2 8 10 Multiply to get a power of ten in the denominator. × = = 0.8 37 50 B. 37 50 2 2 74 100 Multiply to get a power of ten in the denominator. × = = 0.74

7 You can also use place value to write a terminating decimal as a fraction. Use the place value of the last digit to the right of the decimal point as the denominator of the fraction.

8 Example 3: Writing Decimals as Fractions
Write each decimal as a fraction in simplest form. B. 1.55 A 5 is in the hundredths place 8 is in the thousandths place 18 1,000 155 100 0.018 = 1.55 = 18 ÷ 2 1,000 ÷ 2 155 ÷ 5 100 ÷ 5 = = 9 500 31 20 11 20 = or 1 = You read the decimal as “eighteen thousandths.” Reading Math

9 Example 4: Sports Application
A football player completed 1,546 of the 3,875 passes he attempted. Find his completion rate. Write your answer as a decimal rounded to the nearest thousandth. 0.3989… Divide the numerator by the denominator. 1546 3875 0.399 His completion rate is

10 Check It Out! Example 1 Write the fraction as a decimal. Round to the nearest hundredth, if necessary. 6 5 1 .2 5 6.0 – 5 10 – 10 6 5 = 1.2

11 Write each fraction as a decimal.
Check It Out! Example 2 Write each fraction as a decimal. 18 25 Multiply to get a power of ten in the denominator. 18 25 4 4 72 100 = × = 0.72

12 Check It Out! Example 3 Write each decimal as a fraction in simplest form. 1.30 130 100 1.30 = 130 ÷ 10 100 ÷ 10 = 3 10 13 10 or 1 =

13 Check It Out! Example 4 Johnny Unitas, a former professional quarterback, completed 2,830 of the 5,186 passes he attempted. Find his completion rate. Write your answer as a decimal rounded to the nearest thousandth. 0.5456… Divide the numerator by the denominator. His completion rate is


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