Icannot find the answer on my own, i need a lil' bit of . consider the number -9/20. choose "true" or "false" for each statement. a. the number is rational. b. the number can be written as a repeating decimal. c. then number is less than -0.4. i can't do decimals or know i'm stupid : /

for any fraction a/b, the decimal format of it is just a ÷ b.

A)

is the number rational?

well, a rational number is one we can write as a ration or fraction, well clearly is a fraction so it is rational.

B)

can it be written as a repeating/recurring decimal?  well, 9/20 is 0.45, so -9/20 is -0.45, no repeating decimal like 0.454545 , just a plain vanilla -0.45, so nope.

C)

is it less than -0.4?

well, let's recall that for the negative side on the number line, the closer to 0, the larger the number, so then -1,000,000 is much smaller than -1, because -1 is closer to 0.

who is closer -0.4 or -0.45?

|  -0.45    -0.40    0    1  |

so, -0.45 is farther from 0, and therefore is smaller than -0.4, so yes.