# Finding all numbers with a given absolute value

The absolute value is defined as

|a| = +a, if a is positive

|a| = −a, if a is negative

|0| = 0

So, the absolute of any number (other than 0) is always positive.

### Formula

All the numbers with a given absolute value ‘a’ are therefore, a and −a.

**Find the absolute value of the following number:**

48

### Solution

**Step 1:**

|+48| = 48; |−48| = 48

**Step 2:**

So, the numbers with given absolute value 48 are +48 and −48.

**Find the absolute value of the following number:**

33

### Solution

**Step 1:**

|+33| = 33; |−33| = 33

**Step 2:**

So, the numbers with given absolute value 33 are +33 and −33.

**Find the absolute value of the following number:**

97

### Solution

**Step 1:**

|+97| = 97; |−97| = 97

**Step 2:**

So, the numbers with given absolute value 97 are +97 and −97.

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