Chapter 10

Fundamentals of Mathematics · 376 exercises

Problem 7

Perform the indicated subtractions. $$ -6-(-4) $$

4 step solution

Problem 7

Use the algebraic definition of absolute value to find the following values.$$ |7| $$

4 step solution

Problem 7

Find the sums. $$ -2.8+(-4.6) $$

4 step solution

Problem 7

Find the opposite of each number. 8

4 step solution

Problem 7

Draw a number line that extends from - 4 to 3. Place points at all natural numbers between, but not including, -2 to 2 .

4 step solution

Problem 8

Write the appropriate symbol \((<,>,=)\) in place of the \(\square\). $$ 0 \square 2 $$

4 step solution

Problem 8

Find the following quotients. $$ \frac{30}{-5} $$

4 step solution

Problem 8

Perform the indicated subtractions. $$ 8-(-10) $$

4 step solution

Problem 8

Use the algebraic definition of absolute value to find the following values. $$ |9| $$

3 step solution

Problem 8

Find the sums. $$ 0+(-16) $$

3 step solution

Problem 8

Find the opposite of each number. 17

3 step solution

Problem 8

For the following 8 problems, next to each real number, note all collections to which it belongs by writing \(N\) for natural number, \(W\) for whole number, or \(Z\) for integer. Some numbers may belong to more than one collection. 6

3 step solution

Problem 9

Write the appropriate symbol \((<,>,=)\) in place of the \(\square\). $$ -7 \square 0 $$

4 step solution

Problem 9

Find each value. |-16|

3 step solution

Problem 9

Find the following quotients. $$ \frac{-54}{27} $$

4 step solution

Problem 9

Perform the indicated subtractions. $$ 1-(-12) $$

3 step solution

Problem 9

Use the algebraic definition of absolute value to find the following values. $$ |-12| $$

3 step solution

Problem 9

Find the sums. \(4+(-3)\)

5 step solution

Problem 9

Find the opposite of each number. -6

3 step solution

Problem 9

For the following 8 problems, next to each real number, note all collections to which it belongs by writing \(N\) for natural number, \(W\) for whole number, or \(Z\) for integer. Some numbers may belong to more than one collection. 12

4 step solution

Problem 10

Write the appropriate symbol \((<,>,=)\) in place of the \(\square\). $$ -1 \square 0 $$

3 step solution

Problem 10

Find each value. \(-|-2|\)

3 step solution

Problem 10

Find the following quotients. $$ \frac{51}{17} $$

4 step solution

Problem 10

Perform the indicated subtractions. $$ 86-(-32) $$

3 step solution

Problem 10

Use the algebraic definition of absolute value to find the following values. $$ |-5| $$

3 step solution

Problem 10

Find the sums. $$ -3+5 $$

4 step solution

Problem 10

Find the opposite of each number. -15

4 step solution

Problem 10

For the following 8 problems, next to each real number, note all collections to which it belongs by writing \(N\) for natural number, \(W\) for whole number, or \(Z\) for integer. Some numbers may belong to more than one collection. 0

5 step solution

Problem 11

What numbers can replace \(x\) so that each statement is true? \(-5 \leq x \leq-1, x\) is an integer

4 step solution

Problem 11

Find each value. \(-\left(-|-4|^{2}\right)\)

4 step solution

Problem 11

Find the value of \(\frac{-5(2-6)-4(-8-1)}{2(3-10)-9(-2)}\).

5 step solution

Problem 11

Perform the indicated subtractions. $$ 0-16 $$

3 step solution

Problem 11

Use the algebraic definition of absolute value to find the following values. $$ -|8| $$

3 step solution

Problem 11

Find the sums. $$ 15+(-18) $$

4 step solution

Problem 11

Find the opposite of each number. \(-(-1)\)

2 step solution

Problem 12

What numbers can replace \(x\) so that each statement is true? \(-10

4 step solution

Problem 12

Find each value. \(|-5|+|-10|\)

4 step solution

Problem 12

Use a calculator to find each value. $$ (-51.3) \cdot(-21.6) $$

4 step solution

Problem 12

Perform the indicated subtractions. $$ 0-(-16) $$

3 step solution

Problem 12

Use the algebraic definition of absolute value to find the following values. $$ -|1| $$

3 step solution

Problem 12

Find the sums. $$ 0+(-6) $$

3 step solution

Problem 12

Find the opposite of each number. \(-[-(-7)]\)

3 step solution

Problem 12

For the following 8 problems, next to each real number, note all collections to which it belongs by writing \(N\) for natural number, \(W\) for whole number, or \(Z\) for integer. Some numbers may belong to more than one collection. -3

2 step solution

Problem 13

What numbers can replace \(x\) so that each statement is true? \(0 \leq x<5, x\) is a natural number.

4 step solution

Problem 13

Find each value. \(-8+6\)

3 step solution

Problem 13

Use a calculator to find each value. $$ -2.5746 \div-2.1 $$

4 step solution

Problem 13

Perform the indicated subtractions. $$ 0-(8) $$

3 step solution

Problem 13

Use the algebraic definition of absolute value to find the following values. $$ -|-52| $$

3 step solution

Problem 13

Find the sums. $$ -26+12 $$

4 step solution

Problem 13

Suppose \(a\) is a positive number. Is \(-a\) positive or negative?

3 step solution

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