# 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

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### 2 Answers

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.

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.