Solve left|0.3918-0.3922right|+left|0.3923-0.3922right|+left|0.3925-0.3922right|

$$\left| 0.3918-0.3922 \right| + \left| 0.3923-0.3922 \right| + \left| 0.3925-0.3922 \right|$$

Evaluate

$$0.0008$$

Solution Steps

Subtract 0.3922 from 0.3918 to get -0.0004.

$$|-0.0004|+|0.3923-0.3922|+|0.3925-0.3922|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -0.0004 is 0.0004.

$$0.0004+|0.3923-0.3922|+|0.3925-0.3922|$$

Subtract 0.3922 from 0.3923 to get 0.0001.

$$0.0004+|0.0001|+|0.3925-0.3922|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 0.0001 is 0.0001.

$$0.0004+0.0001+|0.3925-0.3922|$$

Add 0.0004 and 0.0001 to get 0.0005.

$$0.0005+|0.3925-0.3922|$$

Subtract 0.3922 from 0.3925 to get 0.0003.

$$0.0005+|0.0003|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 0.0003 is 0.0003.

$$0.0005+0.0003$$

Add 0.0005 and 0.0003 to get 0.0008.

$$0.0008$$

Factor

$$\frac{1}{2 \cdot 5 ^ {4}} = 0.0008$$