Chapter P, Problem 1TU

Calculate the following expression and round to two places:

$\frac{2^{-3}+4}{-0.6\times 0.4}$

To determine

To calculate:

The given expression $\frac{2^{-3}+4}{-0.6\times 0.4}$.

Answer to Problem 1TU

Solution:

$-17.19$

Explanation of Solution

Approach:

1. Simplify the terms in the numerator.

2. Multiply the terms in the denominator.

3. Divide the result obtained in the step-1 by the result obtained in the step-2.

4. Round off the answer to two decimal places.

Calculation:

Given expression:

$\frac{2^{-3}+4}{-0.6\times 0.4}$

1. Simplify the terms in the numerator.

$2^{-3}=\frac{1}{2^3}=\frac{1}{8}=0.125$

$2^{-3}+4=0.125+4=4.125$

2. Simplify the terms in the denominator.

$-0.6\times 0.4=-0.24$

3. Divide the result obtained in the step-1 by the result obtained in the step-2.

$\frac{4.125}{-0.24}=-17.1875$

4. Round off the answer to two decimal places.

$\left(2^{-3}+4\right)÷\left(-0.6\times 0.4\right)=-17.19$

Thus, $\frac{2^{-3}+4}{-0.6\times 0.4}=-17.19$.