Question

Almost 9 over 16 of the total water supplied to a household is used for taking showers. Determine the decimal equivalent of 9 over 16. Use words to explain if the decimal terminates or repeats.

Answer 1

Given :- Almost 9 over 16 of the total water supplied to a household is used for taking showers. Determine the decimal equivalent of 9 over 16. Use words to explain if the decimal terminates or repeats.

Solution :-

we have to tell given fraction 9/16 is terminating decimal or a repeating decimal .

Concept used :-

• we have to check prime factors of denominators of given fraction .
• if Prime factor are 2, or 5 , or 2 and 5 both . Than the given fraction is a terminating decimal expansion .
• if prime factors are other than 2 or 5 , than the given fraction is a non - terminating repeating decimal expansion .

So, Prime factors of denominator of given fraction 9/16 are :-

→ 16 = 2 * 2 * 2 * 2 .

• As we can see prime factors are 2 .
• Therefore, we can conclude that, given fraction is a terminating decimal expansion .

Now ,

→ (9/16)

Multiply by 1,

→ (9/16) * 1

we can write 1 as (625/625)

→ (9/16) * (625/625)

→ (9 * 625) / (16 * 625)

→ (5625/10000)

→ 0.5625 (Ans.)

Learn more :-

57.63 : 3 is the. Place

https://brainly.in/question/23514539

Product of digit in the tenths place and thousandths place of 15.246

https://brainly.in/question/23804815