Solve left|3.6-3.59right|/left|3.69right|100

$$\frac{ \left| 3.6-3.59 \right| }{ \left| 3.69 \right| } 100$$

Evaluate

$$\frac{100}{369}\approx 0.27100271$$

Solution Steps

Subtract 3.59 from 3.6 to get 0.01.

$$\frac{|0.01|}{|3.69|}\times 100$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 0.01 is 0.01.

$$\frac{0.01}{|3.69|}\times 100$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 3.69 is 3.69.

$$\frac{0.01}{3.69}\times 100$$

Expand \frac{0.01}{3.69} by multiplying both numerator and the denominator by 100.

$$\frac{1}{369}\times 100$$

Multiply \frac{1}{369} and 100 to get \frac{100}{369}.

$$\frac{100}{369}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{41 \cdot 3 ^ {2}} = 0.27100271002710025$$