Chapter 10

Fundamentals of Mathematics · 376 exercises

Problem 1

Next to each real number, note all subsets of the real numbers to which it belongs by writing \(N\) for natural numbers, \(W\) for whole numbers, or \(Z\) for integers. Some numbers may belong to more than one subset. $$ 61 $$

3 step solution

Problem 1

Write all integers that are strictly between -8 and -3.

4 step solution

Problem 1

Find the following products. $$ 3(-8) $$

4 step solution

Problem 1

Perform the indicated subtractions. $$ 9-6 $$

4 step solution

Problem 1

Find the sums. $$ 8+6 $$

2 step solution

Problem 1

Determine each a bsolute value. $$ |7| $$

4 step solution

Problem 1

Write each expression in words. \(6+1\)

3 step solution

Problem 1

Is every natural number a whole number?

4 step solution

Problem 2

Next to each real number, note all subsets of the real numbers to which it belongs by writing \(N\) for natural numbers, \(W\) for whole numbers, or \(Z\) for integers. Some numbers may belong to more than one subset. $$ -14 $$

4 step solution

Problem 2

Write all integers that are between and including -2 and 1 .

3 step solution

Problem 2

Find the following products. $$ 4(16) $$

4 step solution

Problem 2

Perform the indicated subtractions. $$ 6-9 $$

4 step solution

Problem 2

Find the sums. $$ 41+11 $$

5 step solution

Problem 2

Determine each a bsolute value. $$ |-3| $$

3 step solution

Problem 2

Write each expression in words. \(2+(-8)\)

4 step solution

Problem 2

Is every whole number an integer?

3 step solution

Problem 3

Next to each real number, note all subsets of the real numbers to which it belongs by writing \(N\) for natural numbers, \(W\) for whole numbers, or \(Z\) for integers. Some numbers may belong to more than one subset. $$ 0 $$

4 step solution

Problem 3

Write the appropriate symbol \((<,>,=)\) in place of the \(\square\) for each pair of numbers. $$ -1 \square-1 $$

4 step solution

Problem 3

Find the following products. $$ (-6)(-5) $$

3 step solution

Problem 3

Perform the indicated subtractions. $$ 0-7 $$

3 step solution

Problem 3

Determine each a bsolute value. $$ |12| $$

3 step solution

Problem 3

Find the sums. $$ (-4)+(-8) $$

4 step solution

Problem 3

Write each expression in words. \(-7+5\)

5 step solution

Problem 3

Is every integer a real number?

4 step solution

Problem 4

Next to each real number, note all subsets of the real numbers to which it belongs by writing \(N\) for natural numbers, \(W\) for whole numbers, or \(Z\) for integers. Some numbers may belong to more than one subset. $$ 1 $$

4 step solution

Problem 4

Write the appropriate symbol \((<,>,=)\) in place of the \(\square\) for each pair of numbers. $$ 0 \square 3 $$

4 step solution

Problem 4

Find the following products. $$ (-7)(-2) $$

4 step solution

Problem 4

Perform the indicated subtractions. $$ 1-14 $$

4 step solution

Problem 4

Find the sums. $$ (-36)+(-9) $$

3 step solution

Problem 4

Determine each a bsolute value. $$ |0| $$

3 step solution

Problem 4

Write each expression in words. \(-10-(+3)\)

3 step solution

Problem 4

Is there an integer that is a whole number?

3 step solution

Problem 5

Next to each real number, note all subsets of the real numbers to which it belongs by writing \(N\) for natural numbers, \(W\) for whole numbers, or \(Z\) for integers. Some numbers may belong to more than one subset. Write all the integers that are strictly between -4 and 3

4 step solution

Problem 5

Write the appropriate symbol \((<,>,=)\) in place of the \(\square\) for each pair of numbers. $$ -1 \square-2 $$

3 step solution

Problem 5

Find the following products. $$ (-1)(4) $$

4 step solution

Problem 5

Perform the indicated subtractions. $$ -8-12 $$

4 step solution

Problem 5

Find the sums. $$ -14+(-20) $$

4 step solution

Problem 5

Determine each a bsolute value. $$ -|9| $$

2 step solution

Problem 5

Write each expression in words. \(-1-(-8)\)

3 step solution

Problem 5

Is there an integer that is not a natural number?

4 step solution

Problem 6

Write all the integers that are between and including -6 and -1

2 step solution

Problem 6

What numbers can replace \(x\) so that the statement is true? \(-3 \leq x<0, x\) is an integer.

2 step solution

Problem 6

Find the following products. $$ (-7) 7 $$

4 step solution

Problem 6

Perform the indicated subtractions. $$ -21-6 $$

4 step solution

Problem 6

Find the sums. $$ -\frac{2}{3}+\left(-\frac{5}{3}\right) $$

3 step solution

Problem 6

Determine each a bsolute value. $$ -|-6| $$

4 step solution

Problem 6

Write each expression in words. \(0+(-11)\)

3 step solution

Problem 6

What integers can replace \(x\) so that the following statement is true? \(-5 \leq x<2\)

3 step solution

Problem 7

Write the appropriate symbol \((<,>,=)\) in place of the \(\square\). $$ -5 \square-1 $$

3 step solution

Problem 7

Find the following quotients. $$ \frac{-24}{-6} $$

3 step solution

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