Download presentation

Presentation is loading. Please wait.

Published byAda Imogen Jackson Modified over 8 years ago

1
Learn to convert between decimals and fractions. Course 1 4-4 Decimals and Fractions

2
Vocabulary mixed number terminating decimal repeating decimal Insert Lesson Title Here Course 1 4-4 Decimals and Fractions

3
Course 1 4-4 Decimals and Fractions A number that contains both a whole number greater than 0 and a fraction, such as 1, is called a mixed number. 3 4 __ 4 1 1 1 2 1 1 4 3 2 4 1 2 2 1 Mixed numbers 1212 1414 3434 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5

4
Course 1 4-4 Decimals and Fractions Additional Example 1A: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number. 0.67 Identify the place value of the digit farthest to the right. The 7 is in the hundredths place, so use 100 as the denominator. 0.67 100 ____ 67 Remember! OnesTenths Hundredths Thousandths Place Value

5
Course 1 4-4 Decimals and Fractions Additional Example 1B: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number. 5.9 Identify the place value of the digit farthest to the right. Write the whole number, 5. The 9 is in the tenths place, so use 10 as the denominator. 5.9 10 ___ 9 5

6
Course 1 4-4 Decimals and Fractions Check It Out: Example 1A Write each decimal as a fraction or mixed number. 0.73 Identify the place value of the digit farthest to the right. The 7 is in the hundredths place, so use 100 as the denominator. 0.73 100 ____ 73

7
Course 1 4-4 Decimals and Fractions Check It Out: Example 1B Write each decimal as a fraction or mixed number. 4.8 Identify the place value of the digit farthest to the right. Write the whole number, 4. The 8 is in the tenths place, so use 10 as the denominator. 4.8 10 ___ 8 4

8
Course 1 4-4 Decimals and Fractions Additional Example 2A: Writing Fractions as Decimals Write each fraction or mixed number as a decimal. Divide 3 by 20. Add zeros after the decimal point. 0 20 ____ 3 The remainder is 0..00 - 20.1 320 100 - 100 5 0 20 ____ 3 =0.15

9
Course 1 4-4 Decimals and Fractions To write a repeating decimal, you can show three dots or draw a bar over the repeating part: 0.666… = 0.6 Writing Math

10
Course 1 4-4 Decimals and Fractions Additional Example 2B: Writing Fractions as Decimals Divide 1 by 3. Add zeros after the decimal point. 0 3 __ 1 The three repeats in the quotient..000 - 9.3 1 3 10 - 9 3 10 = 6 - 9 3 1 3 __ 1 6 6.333… = 6.3 _ Write each fraction or mixed number as a decimal.

11
Course 1 4-4 Decimals and Fractions Check It Out: Example 2A Write each fraction or mixed number as a decimal. Divide 5 by 20. Add zeros after the decimal point. 0 20 ____ 5 The remainder is 0..00 - 40.2 5 20 100 - 100 5 0 20 ____ 5 =0.25

12
Course 1 4-4 Decimals and Fractions Check It Out: Example 2B Write each fraction or mixed number as a decimal. Divide 2 by 3. Add zeros after the decimal point. 0 3 __ 2 The six repeats in the quotient..000 - 18.6 2 3 20 - 18 6 20 = 7 - 18 6 2 3 __ 2 7 7.666… = 7.6 _

13
Course 1 4-4 Decimals and Fractions A terminating decimal, such as 0.75, has a finite number of decimal places. A repeating decimal, such as 0.666…, has a block of one or more digits that repeat continuously Common Fractions and Equivalent Decimals 0.20.250.30.40.50.6 0.750.8 1 3 __ 1 5 1 4 2 5 1 2 3 5 2 3 3 4 4 5

14
Course 1 4-4 Decimals and Fractions Additional Example 3: Comparing and Ordering Fractions and Decimals Order the fractions and decimals from least to greatest., 0.8, 7 __ 10 3 __ 4 First rewrite the fractions as a decimal. = 0.75 = 0.7 Order the three decimals. 3 __ 4 0 7 10 __ 10 7 3 __ 4 0.75 0.8 0.7 The numbers in order from least to greatest are,, and 0.8. 7 10 3 4

15
Course 1 4-4 Decimals and Fractions Check It Out: Example 3 Order the fractions and decimals from least to greatest., 0.35, 1 __ 4 1 2 First rewrite the fractions as decimals. = 0.5 = 0.25 Order the three decimals. 1 __ 2 0 1 4 1 2 The numbers in order from least to greatest are, 0.35, and. 1 __ 4 1 2 0.350.5 0.25 1 __ 4

16
Lesson Quiz: Part I Write each decimal as a fraction or mixed number. 1. 0.24 2. 6.75 Write each fraction or mixed number as a decimal. 3. 2 4. Insert Lesson Title Here 2.6 0.875 Course 1 4-4 Decimals and Fractions 3 5 __ 8 7 6 25 ____ 6 3 4 __

17
Lesson Quiz: Part II 5. Order the fractions and decimals from least to greatest. 0.38,, 6. Jamal ran the following distances on three different days: 0.87 mile, mile, and 0.13 mile. Order the distances from least to greatest. 0.13,, 0.87 Insert Lesson Title Here Course 1 4-4 Decimals and Fraction 3 4 __ 1 5 2 3 1 5, 0.38, 3 4 __ 2 3

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google