Chapter 1

What percent of 483 tons is 287 tons?

Convert to degrees (decimal). $$52^{\circ} 17^{\prime}$$

Round each number to three significant digits. $$2857$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Negative Exponent. $$(-2.24)^{-5}$$

Multiply the following powers of \(10 .\) $$10^{-1} \cdot 10^{-4}$$

Convert to degrees (decimal). $$87^{\circ} 25^{\prime}$$

Round each number to three significant digits. $$0.04825$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Negative Exponent. $$(-1.85)^{-3}$$

Multiply without using a calculator. Give your answer in scientific notation.$$\left(3.0 \times 10^{3}\right)\left(5.0 \times 10^{2}\right)$$

In a journey of \(1560 \mathrm{km},\) a person traveled \(195 \mathrm{km}\) by car and the rest of the distance by rail. What percent of the distance was traveled by rail?

Combined Operations with Approximate Numbers Perform each computation, keeping the proper number of digits in your answer. $$\sqrt[4]{653}+\sqrt{55.3}$$

Convert to degrees (decimal). $$118^{\circ} 33^{\prime}$$

Round each number to three significant digits. $$483,982$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Negative Exponent. $$(-4.24)^{-3}$$

Multiply without using a calculator. Give your answer in scientific notation. $$\left(5 \times 10^{4}\right)\left(8 \times 10^{-3}\right)$$

A power supply has a de output of \(51 \mathrm{V}\) with a ripple of \(0.75 \mathrm{V}\) peak to peak. Express the ripple as a percentage of the de output voltage.

Suppose you have submitted a report that contains calculations in which you have rounded the answers according to the rules given in this chapter. Jones, your company rival, has sharply attacked your work, calling it "inaccurate" because you did not keep enough digits, and your boss seems to agree. Write a memo to your boss defending your rounding practices. Point out why it is misleading to retain too many digits. Do not write more than one page. You may use numerical examples to prove your point.

Convert to degrees (decimal). $$72^{\circ} 12^{\prime} 22^{\prime \prime}$$

Round each number to three significant digits. $$0.08375$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Fractional and Demical Exponents. $$(8.55)^{1 / 3}$$

Multiply without using a calculator. Give your answer in scientific notation. $$\left(2 \times 10^{-2}\right)\left(4 \times 10^{-5}\right)$$

The construction of a building costs \(\$ 136,000\) for materials and \(\$ 157,000\) for labor. What percentage of the total is the labor cost?

Convert to degrees (decimal). $$29^{\circ} 27^{\prime} 41^{\prime \prime}$$

Round each number to three significant digits. $$29.555$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Fractional and Demical Exponents. $$(1.07)^{1 / 5}$$

Multiply without using a calculator. Give your answer in scientific notation. $$\left(2 \times 10^{4}\right)(30,000)$$

Find the percent change when a quantity changes. from 29.3 to 57.6

Convert to degrees (decimal). $$275^{\circ} 18^{\prime} 35^{\prime \prime}$$

Round each number to five significant digits. $$34.9274$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Fractional and Demical Exponents. $$(9.55)^{1 / 3}$$

Divide the following powers of 10. $$10^{8} \div 10^{5}$$

Find the percent change when a quantity changes. from 107 to 23.75

Convert to degrees, minutes, and seconds. Round to the nearest second. $$45.257^{\circ}$$

Round each number to five significant digits. $$827.365$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Fractional and Demical Exponents. $$(84.2)^{1 / 2}$$

Divide the following powers of 10. $$10^{4} \div 10^{6}$$

Find the percent change when a quantity changes. from 227 to 298

Convert to degrees, minutes, and seconds. Round to the nearest second. $$61.339^{\circ}$$

Round each number to five significant digits. $$4.03726$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Fractional and Demical Exponents. $$(2.85)^{2 / 3}$$

Divide the following powers of 10. $$10^{5} \div 10^{-2}$$

Find the percent change when a quantity changes. from 0.774 to 0.638

Convert to degrees, minutes, and seconds. Round to the nearest second. $$27.129^{\circ}$$

Round each number to five significant digits. $$0.00365286$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Fractional and Demical Exponents. $$(9.27)^{2 / 5}$$

Divide the following powers of 10. $$10^{-3} \div 10^{5}$$

The temperature in a building rose from \(19.0^{\circ} \mathrm{C}\) to \(21.0^{\circ} \mathrm{C}\) during the day. Find the percent change in temperature.

Convert to degrees, minutes, and seconds. Round to the nearest second. $$177.344^{\circ}$$

Round each number to five significant digits. $$5.937254$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Fractional and Demical Exponents. $$(1.84)^{2 / 3}$$