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Fractions and Operations with Decimals

Fractions and Operations with Decimals. Today you will learn to: convert between fractions and decimals perform all four operations with decimals M7.A.1.1.1. Warm-up Problem: Converting Fractions to Decimals.

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Fractions and Operations with Decimals

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  1. Fractions and Operations with Decimals Today you will learn to: convert between fractions and decimals perform all four operations with decimals M7.A.1.1.1

  2. Warm-up Problem: Converting Fractions to Decimals Tammy is a registered nurse and is about to get a raise at work. Her raise is 9/16 of a dollar per hour. If she currently makes $16.75 an hour, what would her new hourly wage be?

  3. Converting Fractions to Decimals You can write a fraction as a decimal by dividing the numerator by the denominator. A terminating decimal is a decimal that stops, or terminates. If the same block of digits in a decimal repeats without end, the decimal is a repeating decimal. The repeating block can be one or more digits. You draw a line above the repeating digit(s).

  4. Converting Decimals to Fractions and Mixed Numbers You can write a terminating decimal as a fraction or mixed number by writing the portion of digits to the right of the decimal point as a fraction. To compare and order fractions and decimals, change all to either fractions or decimals (you decide which is easier).

  5. Adding and Subtracting Decimals 2.310 19.100 + 1.882 23.292 RULE: When adding and/or subtracting decimals, be sure to align the decimal points. NOTE: If necessary, insert zeros at the end of each so that each has the same number of decimal places. 19.100 - 1.882 17.218

  6. Warm-up Problem: Multiplying Decimals Iona’s favorite peaches are $2.50 per pound at the local farmers’ market. She bought 3.5 pounds of the peaches. How much did she spend?

  7. Multiplying Decimals 2.43 x 2.5 1215 4860 6.075 RULE: Multiply the factors as if they were whole numbers. Then, add the number of decimal places in both factors to find the number of decimal places in the product.

  8. Dividing Decimals NOTE: When dividing decimals, you may have to move the decimal points. NOTE: If necessary, you may need to add extra zeros to the dividend.

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