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