Fill in the blanks with either < or > to make the statement true:1. - 3 7                6. -11/8 23/152. - 8 - 5              7. -2/3 -5/93. 7...

Fill in the blanks with either < or > to make the statement true:

1. - 3 7                6. -11/8 23/15
2. - 8 - 5              7. -2/3 -5/9
3. 7 -10                8. -4.78 -5.01
4. 3.1 - 9.5
5. -2/3 -1

 

Expert Answers
justaguide eNotes educator| Certified Educator

This is basically all about looking at two numbers and stating which of them has a larger value and which has a smaller value.

For example: -3 < 7, -8 < -5 and 7 > -10. 

If two negative numbers are being compared the one with the larger magnitude is smaller, in the case of positive numbers the greater number is the one which is larger in magnitude and positive numbers are greater than negative numbers.

najm1947 | Student

The symbol '<' is used between two quantities when the first quantity is smaller than the later and '>' is used between two quantities when the first quantity is larger than the later so the answer to make all statements true is:

1. - 3 < 7

2. - 8 < - 5

3. 7 > -10

4. 3.1 > - 9.5

5. -2/3 > -1, because -2/3 > -3/3

6. -11/8 < 23/15

7. -2/3 < -5/9, because -6/9 < -5/9

8. -4.78 > -5.01

Please remember that:

a) a positive quantity is always larger than a negative quantity and

b) on the negative scale i.e. when both numbers are negative, the number having larger absolute value is smaller than the number having a smaller absolute value as is the case in 2, 5, 7 and 8.