Chapter 5

Divide the numbers. \(\frac{17}{25}\)

Multiply the decimals. (47.3)(0.9)

In Exercises 13-24, subtract the decimals. \(9-2.261\)

In Exercises 13-20, write the given decimal number in expanded form. 46.139

Your solutions should include a well-labeled sketch. The length of one leg of a right triangle is 9 meters, and the length of the hypotenuse is 15 meters. Find the exact length of the other leg.

List all square roots of the given number. If the number has no square roots, write “none”. ?196

Solve the equation. \(0.9 x+4.5-0.5 x=3.5\)

Convert the given fraction to a terminating decimal. \(\frac{5}{2}\)

Divide the numbers. \(\frac{18}{75}\)

Multiply the decimals. (30.7)(0.4)

In Exercises 13-24, subtract the decimals. \(98.14-7.27\)

Write the given decimal number in expanded form. 68.392

Your solutions should include a well-labeled sketch. The lengths of two legs of a right triangle are 6 meters and 22 meters. Find the exact length of the hypotenuse.

List all square roots of the given number. If the number has no square roots, write “none”. 529

Solve the equation. \(-0.2 x+2.2 x=6.8\)

Convert the given fraction to a terminating decimal. \(\frac{78}{240}\)

Divide the numbers. \(\frac{229.5}{51}\)

Multiply the decimals. (9.9)(6.7)

Write the given decimal number in expanded form. 643.19

Your solutions should include a well-labeled sketch. The lengths of two legs of a right triangle are 9 meters and 19 meters. Find the exact length of the hypotenuse.

List all square roots of the given number. If the number has no square roots, write “none”. 400

Solve the equation. \(-7.9 x+2.9 x=8.6\)

Convert the given fraction to a terminating decimal. \(\frac{150}{96}\)

Divide the numbers. \(\frac{525.6}{72}\)

Multiply the decimals. (7.2)(6.1)

Subtract the decimals. \(9.126-6\)

Write the given decimal number in expanded form. 815.64

In Exercises 17-24, your solutions should include a well-labeled sketch. The lengths of two legs of a right triangle are 3 meters and 18 meters. Find the length of the hypotenuse. Round your answer to the nearest hundredth.

In Exercises 17-32, compute the exact square root. If the square root is undefined, write "undefined". \(\sqrt{-9}\)

In Exercises 17-34, solve the equation. \(6.24 x-5.2=5.2 x\)

Convert the given fraction to a terminating decimal. \(\frac{25}{10}\)

In Exercises 17-40, divide the decimals. \(\frac{0.3478}{0.47}\)

Multiply the decimals. (19.5)(7.9)

Subtract the decimals. \(55.672-3.3\)

Write the given decimal number in expanded form. 14.829

Your solutions should include a well-labeled sketch. The lengths of two legs of a right triangle are 10 feet and 16 feet. Find the length of the hypotenuse. Round your answer to the nearest tenth.

Compute the exact square root. If the square root is undefined, write "undefined". \(-\sqrt{-196}\)

Solve the equation. \(-0.6 x+6.3=1.5 x\)

Convert the given fraction to a terminating decimal. \(\frac{2}{4}\)

Divide the decimals. \(\frac{0.4559}{0.97}\)

Multiply the decimals. (43.4)(8.9)

Subtract the decimals. \(4.717-1.637\)

Write the given decimal number in expanded form. 45.913

Your solutions should include a well-labeled sketch. The length of one leg of a right triangle is 2 meters, and the length of the hypotenuse is 17 meters. Find the length of the other leg. Round your answer to the nearest tenth.

Compute the exact square root. If the square root is undefined, write "undefined". \(\sqrt{576}\)

Solve the equation. \(-0.7 x-2.4=-3.7 x-8.91\)

Convert the given fraction to a terminating decimal. \(\frac{9}{24}\)

Divide the decimals. \(\frac{1.694}{2.2}\)

Multiply the decimals. (6.9)(0.3)

Subtract the decimals. \(60.575-6\)