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State true or false:

The rational number lying exactly halfway between $5 − 13$ and $− 7 9$ and is $− 136 117$ is .

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True

False

answer is B.

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Detailed Solution

Here, we are given two rational numbers as

5 − 13

and

− 7 9

, and it is said that the rational number exactly halfway between them is

− 136 117

.
We have to state if this is true or not.
In order to do so, we will use the formula to find such a rational number which is given as

a + b 2

, where a and b are the two given rational numbers.
So,

5 − 13 + − 7 9 2 = 45 + 91 − 117 2 = 136 (− 117) × 2 = 68 − 117 = − 68 117

So, the rational number exactly halfway between

5 − 13

and

− 7 9

is found to be

− 68 117

, which is not the same as

− 136 117

.
Hence, the statement is false.
Hence the correct option is (2).

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