1.-Which of the following rational numbers represents a repeating decimal

A) 11/40. B) 3/25. C) 25/48. D) 7/32

2.-Use the distribute property to rewrite 9 (10 + x)

A) 19 + 9x

b) 90 + 9x

c) 90 + x

d) 10 + 9x

Okay, so we're going to take this one number at a time:

Number 1:

--> First find the decimal equivalents of each answer choice:

11/40=.275

3/25=.12

25/48=.5208333 (with the threes' repeating)

7/32=.21875

*all you do is divide the numerator [the number on top] by the denominator [the number on the bottom]

--> Now see which fraction has a decimal equivalent that has repeating numbers

11/40 No

3/25 No

25/48 Yes

7/32 No

--> So the answer would be 25/48 or 'c'

Number 2:

-->So what you do is simplify the equation using the distributive property or in other words, distribute the number on the outside to the numbers inside the parentheses.

9 (10+x)

9*10+9*x

90+9x

--> So the answer is 90+9x or 'b'!

1. Answer=C

25/48 = 0.52083333333 (with the three's repeating ...)

2. Answer=B

9 (10+x)

to simplify, we distribute the 9 to both terms in the expression within the parenthesis ...

90+9x