Question

Bernita and Derek each plot a number on a number line. The numbers are unique but have the same absolute value. The sum of the absolute values of the numbers is 150. What are the two numbers? The awnsers are: a_0 and 150

b–75 and 75
c–150 and 150
d–300 and 300

Answer 1

My answer is B. -75 and 75.

Absolute value means the positive value of a number. Absolute value of -75 is 75. Absolute value of 75 is 75.

75 + 75 = 150.

Choice a. -0 and 150 is not correct. This is because a 0 cannot have a negative value.

Answer 2

Hence, the two numbers chosen or plotted by them are:

-75 and 75

Explanation:

It is given that Bernita and Derek each plot a number on a number line with the properties:

• The two numbers they have plotted are unique or different.

• Also there absolute value is same.

• The sum of the absolute values of the numbers is 150.

We know that Absolute value of a positive number is a number itself and absolute value of a negative number is it's inverse.

Hence, the two numbers that satisfy the above three properties are:

-75 and 75.

Since,

|-75|=75

and |75|=75.

Hence, |-75|=|75|

Also |-75|+|75|=75+75=150