1 / 18

Warm Up

Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. Warm Up Find the GCF of each set of numbers. 1. 15, 24 2. 30, 60 3. 54, 102 4. 12, 16, 24. 3. 30. 6. 4. Problem of the Day Write the day of the month as the product of two factors.

dwerner
Download Presentation

Warm Up

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. Warm Up Find the GCF of each set of numbers. 1. 15, 24 2. 30, 60 3. 54, 102 4. 12, 16, 24 3 30 6 4

  3. Problem of the Day Write the day of the month as the product of two factors. Possible answer: 12th of the month, 6  2

  4. I can convert between decimals and fractions.

  5. Vocabulary mixed number terminating decimal repeating decimal

  6. 1 1 3 1 1 __ __ __ __ __ 1 1 1 2 2 4 2 4 4 2 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 A number that contains both a whole number greater than 0 and a fraction, such as 1 , is called a mixed number. 3 __ 4 Mixed numbers 12 34 14

  7. 67 ____ Remember! 100 Place Value Hundredths Thousandths Ones Tenths Additional Example 1A: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number. 0.67 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.

  8. 9 ___ 10 Additional Example 1B: Writing Decimals as Fractions or Mixed Numbers Write each decimal as a fraction or mixed number. 5.9 5.9 Identify the place value of the digit farthest to the right. 5 Write the whole number, 5. The 9 is in the tenths place, so use 10 as the denominator.

  9. 73 ____ 100 Check It Out: Example 1A Write each decimal as a fraction or mixed number. 0.73 0.73 Identify the place value of the digit farthest to the right. The 3 is in the hundredths place, so use 100 as the denominator.

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

  11. 3 ____ 20 3 ____ 20 Additional Example 2A: Writing Fractions as Decimals Write each fraction or mixed number as a decimal. 0 .1 5 Divide 3 by 20. 20 3 .00 Add zeros after the decimal point. - 20 100 - 100 The remainder is 0. 0 = 0.15

  12. Writing Math To write a repeating decimal, you can show three dots or draw a bar over the repeating part: 0.666… = 0.6

  13. 1 __ 3 _ 1 __ 6.333… = 6.3 3 Additional Example 2B: Writing Fractions as Decimals Write each fraction or mixed number as a decimal. 6 0 .3 3 3 Divide 1 by 3. .000 3 1 Add zeros after the decimal point. - 9 10 The 3 repeats in the quotient. - 9 10 - 9 1 6 =

  14. 5 ____ 20 5 ____ 20 Check It Out: Example 2A Write each fraction or mixed number as a decimal. 0 .2 5 Divide 5 by 20. .00 20 5 Add zeros after the decimal point. - 40 100 - 100 The remainder is 0. 0 = 0.25

  15. 2 __ 3 _ 2 __ 7.666… = 7.6 3 Check It Out: Example 2B Write each fraction or mixed number as a decimal. 7 0 .6 6 6 Divide 2 by 3. .000 3 2 Add zeros after the decimal point. - 18 20 The 6 repeats in the quotient. - 18 20 - 18 2 7 =

  16. Common Fractions and Equivalent Decimals 1 2 1 1 1 3 2 3 4 __ __ __ __ __ __ __ __ __ 5 3 4 3 2 4 5 5 5 0.2 0.25 0.3 0.4 0.5 0.6 0.6 0.75 0.8 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

  17. 3 __ __ 10 4 7 3 __ __ 10 4 3 7 The numbers in order from least to greatest are , , and 0.8. 4 10 Additional Example 3: Comparing and Ordering Fractions and Decimals Order the fractions and decimals from least to greatest. 3 7 __ __ , 0.8, 10 4 7 First rewrite the fractions as decimals. = 0.75 = 0.7 Order the three decimals. 0 0.8 0.75 0.7

  18. 1 __ 4 1 1 __ __ 2 4 1 1 __ __ 4 2 1 __ 4 Check It Out: Example 3 Order the fractions and decimals from least to greatest. 1 __ , 0.35, 2 First rewrite the fractions as decimals. = 0.5 = 0.25 Order the three decimals. 0 0.35 0.5 0.25 1 __ The numbers in order from least to greatest are , 0.35, and . 2

More Related