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State the absolute value and the opposite of the number. 31

Short Answer

Expert verified

The absolute value is31, and the opposite of the number is −31.

Step by step solution

01

. Absolute value of a number

Absolute value of any positive or negative number is always positive and equal to the magnitude of the number. The absolute value of a number N is denoted by |N|.

For example, the absolute value of 3 is denoted by |3|and is equal to 3.

And the absolute value of −4is denoted by |−4|and is equal to 4.

02

. Opposite of a number

Opposite of any real number can be obtained by multiplying it with −1. On the number line, opposite of any number be located on the opposite side at the same distance from the midpoint 0.

For example, the opposite of the number −5 is 5.

03

. Evaluate the absolute value

The number 31 is at a distance of 31 units to the right of 0 on the number line.

So, the absolute value of the given number 31 is given by

|31|=31

Thus, the absolute value of the given number is 31.

04

. Find the opposite of the number

In order to find the opposite of the number, multiply it with−1.

So, the opposite of the given number is

−1(31)=−31

Thus, the opposite of the number is −31.

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