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