Chapter 5

Prealgebra · 618 exercises

Problem 1

In Exercises 1-16, your solutions should include a well-labeled sketch. The length of one leg of a right triangle is 15 meters, and the length of the hypotenuse is 25 meters. Find the exact length of the other leg.

6 step solution

Problem 1

In Exercises 1-16, list all square roots of the given number. If the number has no square roots, write “none”. 256

6 step solution

Problem 1

In Exercises 1-16, solve the equation. \(5.57 x-2.45 x=5.46\)

3 step solution

Problem 1

In Exercises 1-20, convert the given fraction to a terminating decimal. \(\frac{59}{16}\)

4 step solution

Problem 1

In Exercises 1-16, divide the numbers. \(\frac{39}{52}\)

2 step solution

Problem 1

In Exercises 1-28, multiply the decimals. (6.7)(0.03)

4 step solution

Problem 1

Which digit is in the tenths column of the number 4,552.0908?

3 step solution

Problem 1

In Exercises 1-12, add the decimals. \(31.9+84.7\)

5 step solution

Problem 2

Your solutions should include a well-labeled sketch. The length of one leg of a right triangle is 7 meters, and the length of the hypotenuse is 25 meters. Find the exact length of the other leg.

7 step solution

Problem 2

List all square roots of the given number. If the number has no square roots, write “none”. 361

4 step solution

Problem 2

Solve the equation. \(-0.3 x-6.5 x=3.4\)

2 step solution

Problem 2

Convert the given fraction to a terminating decimal. \(\frac{19}{5}\)

3 step solution

Problem 2

Divide the numbers. \(\frac{16}{25}\)

4 step solution

Problem 2

Multiply the decimals. (2.4)(0.2)

5 step solution

Problem 2

Which digit is in the thousandths column of the number 7,881.6127?

4 step solution

Problem 2

Add the decimals. \(9.39+7.7\)

5 step solution

Problem 3

Your solutions should include a well-labeled sketch. The lengths of two legs of a right triangle are 12 meters and 16 meters. Find the exact length of the hypotenuse.

7 step solution

Problem 3

List all square roots of the given number. If the number has no square roots, write “none”. ?289

4 step solution

Problem 3

Solve the equation. \(-5.8 x+0.32+0.2 x=-6.96\)

3 step solution

Problem 3

Convert the given fraction to a terminating decimal. \(\frac{35}{4}\)

6 step solution

Problem 3

Divide the numbers. \(\frac{755.3}{83}\)

5 step solution

Problem 3

Multiply the decimals. (28.9)(5.9)

3 step solution

Problem 3

Which digit is in the tenths column of the number 4,408.2148?

3 step solution

Problem 3

Add the decimals. \(4+97.18\)

4 step solution

Problem 4

Your solutions should include a well-labeled sketch. The lengths of two legs of a right triangle are 9 meters and 12 meters. Find the exact length of the hypotenuse.

5 step solution

Problem 4

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

5 step solution

Problem 4

Solve the equation. \(-2.2 x-0.8-7.8 x=-3.3\)

3 step solution

Problem 4

Convert the given fraction to a terminating decimal. \(\frac{21}{4}\)

5 step solution

Problem 4

Divide the numbers. \(\frac{410.4}{76}\)

5 step solution

Problem 4

Multiply the decimals. (33.5)(2.1)

5 step solution

Problem 4

Which digit is in the tenths column of the number 9,279.0075?

3 step solution

Problem 4

Add the decimals. \(2.645+2.444\)

4 step solution

Problem 5

Your solutions should include a well-labeled sketch. The length of one leg of a right triangle is 13 meters, and the length of the hypotenuse is 22 meters. Find the exact length of the other leg.

7 step solution

Problem 5

List all square roots of the given number. If the number has no square roots, write “none”. 441

4 step solution

Problem 5

Solve the equation. \(-4.9 x+88.2=24.5\)

2 step solution

Problem 5

Convert the given fraction to a terminating decimal. \(\frac{1}{16}\)

5 step solution

Problem 5

Divide the numbers. \(\frac{333}{74}\)

6 step solution

Problem 5

Multiply the decimals. (4.1)(4.6)

3 step solution

Problem 5

Which digit is in the ten-thousandths column of the number 2,709.5097?

3 step solution

Problem 5

Add the decimals. \(4+87.502\)

3 step solution

Problem 6

Your solutions should include a well-labeled sketch. The length of one leg of a right triangle is 6 meters, and the length of the hypotenuse is 15 meters. Find the exact length of the other leg.

6 step solution

Problem 6

List all square roots of the given number. If the number has no square roots, write “none”. 36

4 step solution

Problem 6

Solve the equation. \(-0.2 x-32.71=57.61\)

2 step solution

Problem 6

Convert the given fraction to a terminating decimal. \(\frac{14}{5}\)

5 step solution

Problem 6

Divide the numbers. \(\frac{117}{65}\)

4 step solution

Problem 6

Multiply the decimals. (2.6)(8.2)

3 step solution

Problem 6

Which digit is in the hundredths column of the number 1,743.1634?

3 step solution

Problem 6

Add the decimals. \(23 .69+97.8\)

6 step solution

Problem 7

Your solutions should include a well-labeled sketch. The lengths of two legs of a right triangle are 2 meters and 21 meters. Find the exact length of the hypotenuse.

6 step solution

Problem 7

List all square roots of the given number. If the number has no square roots, write “none”. 324

4 step solution

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