Question

White any four rational numbers having the denominator 2 or power of

2. then express them in decimals. Are the decimals always terminating?
While the remarks of your investigation.​

Answer 1

hope this helps.enjoy!!!!!!

Answer 2

9514 1404 393

Answer:

• 1/2 = 0.5
• 3/16 = 0.1875
• 5/64 = 0.078125
• 7/2048 = 0.00341796875
• yes

Explanation:

A terminating decimal has an equivalent denominator that is a power of 10. That is, it is the product of a power of 2 and a power of 5.

Any fraction that has a denominator that is a power of 2 can be expressed as an equivalent fraction with a power of 10 as the denominator.

Example:

`(7)/(2048)=(7)/(2^(11))=(7\cdot5^(11))/(2^(11)\cdot5^(11))=(7\cdot5^(11))/(10^(11))=0.00341796875`