Solve e=|9.81-9.8974|/(9.81+9.8974)*100

$$e = \frac { | 9.81 - 9.8974 | } { ( 9.81 + 9.8974 ) } \times 100$$

Verify

Solution Steps

Subtract 9.8974 from 9.81 to get -0.0874.

$$e=\frac{|-0.0874|}{9.81+9.8974}\times 100$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -0.0874 is 0.0874.

$$e=\frac{0.0874}{9.81+9.8974}\times 100$$

Add 9.81 and 9.8974 to get 19.7074.

$$e=\frac{0.0874}{19.7074}\times 100$$

Expand \frac{0.0874}{19.7074} by multiplying both numerator and the denominator by 10000.

$$e=\frac{874}{197074}\times 100$$

Reduce the fraction \frac{874}{197074} to lowest terms by extracting and canceling out 2.

$$e=\frac{437}{98537}\times 100$$

Express \frac{437}{98537}\times 100 as a single fraction.

$$e=\frac{437\times 100}{98537}$$

Multiply 437 and 100 to get 43700.

$$e=\frac{43700}{98537}$$

Compare e and \frac{43700}{98537}.

$$\text{false}$$