Question

Please help me!!! justify your answers.​

Answer 1

G is true is out divide 1/7 by 2 out get 1/14

H is false the product is always 1

I is false all numbers have a reciprocal besides 0

Answer 2

g. True

h. False

i. False

Step-by-step explanation:

g.

`(1)/(14)` is half of
`(1)/(7)`

This would be true because half of a number can be found by multiplying by
`(1)/(2)`

If you multiplied
`(1)/(7) * (1)/(2)`

The numerator is 1 * 1 which is 1

And then the denominator is 7 * 2 which is 14

That would give you
`(1)/(14)`

h.

The products of two reciprocals is 0

This is not true

Reason being, reciprocals are just the number flipped. If you times the number by itself, you don't get 0, you get 1.

Ex:
`(2)/(8)`

Its reciprocal is
`(8)/(2)`

So multiply them together

`(2)/(8)* (8)/(2)`

2 * 8 = 16

8 * 2 = 16

`(16)/(16) = 1`

i.

A whole number does not have a reciprocal

This is incorrect. If you think about it, a whole number is just the number, over 1

Ex:
`(6)/(1)`

This is still a whole number even though its written in fraction form because if you divide 6 by 1, your still going to get 6.

If you an write it as a fraction, it has a reciprocal.

The reciprocal in this case would be
`(1)/(6)`

I hope this helps, don't be afraid to reach out with any further questions!