Question

Which sign makes the statement true?


-8 1/5 -8 3/4

A. >

B. <

C. =

Put these numbers in order from the least to greatest.

13, 4/5, o.9, 7/35, -13.5

Hint you can change the numbers to decimals if they are not already in that form to help you compare.

13

4/5

0.9

7/35

-13.5

Answer 1

First, let's compare the two numbers: -8 1/5 and -8 3/4.

To do this, we can convert both fractions to decimals.

-8 1/5 can be converted as follows:
-8 + 1/5 = -8 + 0.2 = -7.8

-8 3/4 can be converted as follows:
-8 + 3/4 = -8 + 0.75 = -7.25

Now we compare -7.8 and -7.25:
-7.8 < -7.25

So the correct sign is:
**B. <**

Now, let's put the numbers in order from least to greatest:
-13.5, 0.9, 4/5, 7/35, 13.

First, we change all numbers to decimals:

-13.5 remains -13.5.
4/5 = 0.8.
0.9 remains 0.9.
7/35 = 0.2 (since 7 ÷ 35 = 0.2).
13 remains 13.

Now we can order them:
-13.5, 0.2 (which is 7/35), 0.8 (which is 4/5), 0.9, and 13.

So the ordered list from least to greatest is:
**-13.5, 7/35, 4/5, 0.9, 13.**