3.2 Convert Terminating Decimals to Fractions

3.2 Convert Terminating Decimals to Fractions Common Core Standards 7.EE.3. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.

WARM-UP Write the decimals as fractions or mixed numbers. 1)

.1

4) .009

2) 5.03

5) 14.037

3)

.17

6) .831

Convert Terminating Decimals to Fractions If decimals describe fractions with denominators of 10, 100, and 1,000, how do decimals describe other fractions?

.6

.25 1 4 3 5

.05

1 20

NOTES Terminating decimals are decimals that end. To convert terminating decimals to fractions use the correct place value and simplify by dividing top and bottom by a divisor of 10, 100, or 1,000. Examples Write each terminating decimal as a fraction or mixed number in simplest form.

.2

5.06

.12

9.028

EXAMPLES Write each terminating decimal as a fraction or mixed number in simplest form.

8.5

3.25

.75

13.075

EXAMPLES What fraction of the tank is shaded? 1.0 .9 .8 .7 .6 .5 .4 .3 .2 .1

EXAMPLES The newspaper listed the standings for several basketball teams.

Spurs .750 Hornets .500 Grizzlies .325 What fraction of the time did the Spurs win? What fraction of the time did the Hornets win? What fraction of the time did the Grizzlies win?

PRACTICE Identify the type of decimal.

7.129 Write as a fraction or mixed number in simplest form.

7.8

.002

.320

19.085

FINAL QUESTION The newspaper listed the standings for several basketball teams.

Bulls Kings

.600 .450

Kincks .375 What fraction of the time did each team win?