Chapter 1

Convert the following metric units. Write your answer in scientific notation if the numerical value is greater than 1000 or less than 0.1. \(7.68 \times 10^{-5}\) kilowatts to watts.

Dividing Approximate Numbers Divide, and then round your answer to the proper number of digits. $$3.449 \div(-6.837)$$

Multiply each approximate number and retain the proper number of digits in your answer. $$(5.93 \times 7.28) \times(8.26 \times 1.38)$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Powers by Calculator. $$(84.2)^{2}$$

Evaluate each expression. $$-|3-9|-|5-11|+|21+4|$$

Adding and Subtracting Approximate Numbers Combine each set of approximate numbers as indicated. Round your answer. $$385.28-692.8$$

Combined Operations with Exact Numbers. Perform each computation by calculator. $$\left(\frac{141}{47}\right)^{3}$$

Convert each percent to a fraction. $$37.5 \%$$

Write each number in scientific notation. $$25,742$$

Convert the following metric units. Write your answer in scientific notation if the numerical value is greater than 1000 or less than 0.1. \(6.2 \times 10^{9}\) ohms to megohms.

Multiply, and keep the proper number of significant digits in your answer. Take each integer as an exact number. $$4 \times 2.55$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Powers by Calculator. $$(3.95)^{3}$$

Determine the number of significant digits in each approximate number. $$78.3$$

Adding and Subtracting Approximate Numbers Combine each set of approximate numbers as indicated. Round your answer. $$0.000583+0.0008372-0.00173$$

Combined Operations with Exact Numbers. Perform each computation by calculator. $$\sqrt{434+466}$$

Convert each percent to a fraction. $$12 \frac{1}{2} \%$$

Write each number in scientific notation. $$8020$$

Convert the following metric units. Write your answer in scientific notation if the numerical value is greater than 1000 or less than 0.1. \(825 \times 10^{4}\) newtons to kilonewtons.

Reciprocals Find the reciprocal of each number, retaining the proper number of digits in your answer. $$0.00630$$

Multiply, and keep the proper number of significant digits in your answer. Take each integer as an exact number.$$-1.46 \times 3$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Powers by Calculator. $$(13.9)^{2}$$

Determine the number of significant digits in each approximate number. $$9274$$

Mt. Blanc is 15,572 ft high, and Pike's Peak is about 14,000 ft high. What is the difference in their heights?

Combined Operations with Exact Numbers. Perform each computation by calculator. $$\sqrt{(8)(72)}$$

Convert each percent to a fraction. $$150 \%$$

Write each number in scientific notation. $$98.3 \times 10^{3}$$

Convert the following metric units. Write your answer in scientific notation if the numerical value is greater than 1000 or less than 0.1. 9348 picofarads to microfarads.

Multiply, and keep the proper number of significant digits in your answer. Take each integer as an exact number.$$-4.273 \times(-5)$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Powers by Calculator. $$(1.65)^{4}$$

Determine the number of significant digits in each approximate number. $$4.008$$

Combined Operations with Exact Numbers. Perform each computation by calculator. $$\sqrt[3]{657+553-1085}$$

Convert each percent to a fraction. $$3 \%$$

Write each number in scientific notation. $$0.0775 \times 10^{-2}$$

Convert the following metric units. Write your answer in scientific notation if the numerical value is greater than 1000 or less than 0.1. 84,398 nanoseconds to milliseconds.

Reciprocals Find the reciprocal of each number, retaining the proper number of digits in your answer. $$39.74$$

Multiply, and keep the proper number of significant digits in your answer. Take each integer as an exact number.$$(-5) \times(-1.022)$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Powers by Calculator. $$(2,98)^{2}$$

Combined Operations with Exact Numbers. Perform each computation by calculator. $$\sqrt[4]{(27)(768)}$$

Find: \(41.1 \%\) of 255 tons.

Convert each number from scientific notation to decimal notation. $$2.85 \times 10^{3}$$

Convert between the given customary and metric units. 364.0 meters to feet.

Reciprocals Find the reciprocal of each number, retaining the proper number of digits in your answer. $$-0.00573$$

Determine the number of significant digits in each approximate number. $$20,000$$

Evaluate each expression. Retain the proper number of significant digits in your answer. Powers by Calculator. $$(12.5)^{2}$$

A circular pipe has an inside radius \(r\) of \(10.6 \mathrm{cm}\) and a wall thickness of 2.125 cm. It is surrounded by insulation having a thickness of \(4.8 \mathrm{cm}\) (Fig. \(1-5\) ). What is the outside diameter \(D\) of the insulation?

Combined Operations with Exact Numbers. Perform each computation by calculator. $$\sqrt{\frac{2404}{601}}$$

Find: $$15.3 \% \text { of } 326 \mathrm{mi}$$

Convert each number from scientific notation to decimal notation. $$1.75 \times 10^{-5}$$

Convert between the given customary and metric units. 6.83 inches to millimeters.

Reciprocals Find the reciprocal of each number, retaining the proper number of digits in your answer. $$938.4$$