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Equivalent Fractions and Decimals

Equivalent Fractions and Decimals. Course 1 – 6 th Grade. Do Now. What is the place value of 3 in 654.21 3 ?. Definition place val·ue n oun the numerical value that a digit has by virtue of its position in a number. What is the place value of 7 in 43. 7 915 ?. What is 234 ÷ 15 ?.

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Equivalent Fractions and Decimals

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  1. Equivalent Fractions and Decimals Course 1 – 6th Grade

  2. Do Now

  3. What is the place value of3in654.213?

  4. Definition place val·ue noun the numerical value that a digit has by virtue of its position in a number

  5. What is the place value of7in43.7915?

  6. What is 234 ÷ 15?

  7. What is 145 ÷ 3?

  8. Lesson

  9. Option 1: Unencumbered by superfluous foliage in autumn, the tree branches stood stark and tall against the sky. Option 2: Free of extra leaves in fall, all the tree branches are visible.

  10. 0 1

  11. Definition e·quiv·a·lent adjective having the same value; equal or interchangeable in value, quantity, significance, etc.

  12. Fractions to Decimals STEPS: 1) Read fraction 2) Set up division problem 3) Add 0’s to thousandths place 4) Solve Example: 1/5

  13. Definition terminating decimal noun a decimal number that ends

  14. Fractions to Decimals STEPS: 1) Read fraction 2) Set up division problem 3) Add 0’s to thousandths place 4) Solve Example: 1/3

  15. Fractions to Decimals STEPS: 1) Read fraction 2) Set up division problem 3) Add 0’s to thousandths place 4) Solve 5) If repeating, continue at least to ten thousandths place 6) Write a line over the portion of the number after the decimal that repeats Example: 1/3

  16. Fractions to Decimals STEPS: 1) Read fraction 2) Set up division problem 3) Add 0’s to thousandths place 4) Solve 5) If repeating, continue at least to ten thousandths place 6) Write a line over the portion of the number after the decimal that repeats Example: 1/6

  17. Fractions to Decimals STEPS: 1) Read fraction 2) Set up division problem 3) Add 0’s to thousandths place 4) Solve 5) If repeating, continue at least to ten thousandths place 6) Write a line over the portion of the number after the decimal that repeats Example: 9/11

  18. Definition repeating decimal noun a rational number in decimal form in which a group of one or more digits (where all digits are not zero) repeat infinitely

  19. Mental Math…that means pencils down!!! 4/10 2/5

  20. Decimals to Fractions STEPS: 1) Say decimal in words 2) Circle the last digit in the lowest place value 3) Place the entire decimal over the place value 4) Simplify Example: .18

  21. Decimals to Fractions STEPS: 1) Say decimal in words 2) Circle the last digit in the lowest place value 3) Place the entire decimal over the place value 4) Simplify Example: .036

  22. Decimals to Fractions STEPS: 1) Say decimal in words 2) Circle the last digit in the lowest place value 3) Place the entire decimal over the place value 4) Simplify Example: -3.13

  23. So which is better? Are Fractions better than Decimals? Are Decimals better than Fractions ?

  24. Fraction/Decimal FACE-OFF

  25. Fraction/Decimal FACE-OFF

  26. Fraction/Decimal FACE-OFF

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