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Drupady [299]
11 months ago
15

Recall that rational numbers are numbers that can be represented as the ratio, or fraction, of two integers. When expressed as d

ecimals, rational numbers either terminate or repeat. For the following rational numbers, use long division to rewrite each fraction as a decimal number. Then, classify each decimal equivalent as terminating or repeating.
division to rewrite each fraction as a decimal number. Then, classify each decimal equivalent as terminating or repeating.

5 2/7 repeating or terminating

7/16 repeating or terminating

14 5/9 repeating or terminating

3/22 repeating or terminating
Mathematics
1 answer:
fredd [130]11 months ago
3 0

Answer:

Repeating

Terminating

Repeating

Repeating

Step-by-step explanation:

5 2/7 as improper fraction is 37/7 and it equals 5.28571428571 which makes it repeating because the numbers don't stop.

7/16 is equal to 0.4375 making it terminate because the numbers stop.

14 5/9 as an improper fraction is 131/9 and 131/9 is 14.5555555556 and that is a never ending pattern so it is repeating.

3/22 is equal to 0.13636363636 it is repeating because the numbers never stop.

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Prove that (Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A
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Answer:

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Step-by-step explanation:

We need to prove that:

(Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A.

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