Chapter 10
Fundamentals of Mathematics · 376 exercises
Problem 13
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. -7
4 step solution
Problem 14
What numbers can replace \(x\) so that each statement is true?
\(-3
4 step solution
Problem 14
Find each value. \(-3+(-8)\)
4 step solution
Problem 14
Use a calculator to find each value. \((0.006) \cdot(-0.241) .\) Round to three decimal places.
4 step solution
Problem 14
Perform the indicated subtractions. $$ 5-(-5) $$
3 step solution
Problem 14
Use the algebraic definition of absolute value to find the following values. $$ -|-31| $$
3 step solution
Problem 14
Find the sums. $$ 35+(-78) $$
5 step solution
Problem 14
Suppose \(a\) is a negative number. Is \(-a\) positive or negative?
4 step solution
Problem 14
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. -805
3 step solution
Problem 15
What numbers can replace \(x\) so that each statement is true?
\(-8
4 step solution
Problem 15
Find each value. \(0-16\)
3 step solution
Problem 15
Find the value of each of the following. Use a calculator to check each result. $$ (-2)(-8) $$
4 step solution
Problem 15
Perform the indicated subtractions. $$ 24-[-(-24)] $$
3 step solution
Problem 15
Determine each of the values. $$ |5| $$
3 step solution
Problem 15
Find the sums. $$ 15+(-10) $$
3 step solution
Problem 15
Suppose we do not know the sign of the number \(k\). Is \(-k\) positive, negative, or do we not know?
6 step solution
Problem 15
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. -900
3 step solution
Problem 16
How many units are there between the given pair of numbers? 0 and 4
3 step solution
Problem 16
Find each value. (-14)\(\cdot(-3)\)
4 step solution
Problem 16
Find the value of each of the following. Use a calculator to check each result. $$ (-3)(-9) $$
5 step solution
Problem 16
Use a calculator to find each difference. $$ 44-315 $$
5 step solution
Problem 16
Determine each of the values. $$ |3| $$
2 step solution
Problem 16
Find the sums. $$ 1.5+(-2) $$
3 step solution
Problem 16
Is the number 0 a positive number, a negative number, neither, or both?
4 step solution
Problem 17
How many units are there between the given pair of numbers? -1 and 3
6 step solution
Problem 17
Find each value. \((-5-6)^{2}\)
2 step solution
Problem 17
Find the value of each of the following. Use a calculator to check each result. $$ (-4)(-8) $$
5 step solution
Problem 17
Use a calculator to find each difference. $$ 12.756-15.003 $$
5 step solution
Problem 17
Determine each of the values. $$ |6| $$
2 step solution
Problem 17
Find the sums. $$ -8+0 $$
3 step solution
Problem 17
An integer is an even integer if it is evenly divisible by 2 . Draw a number line that extends from -5 to 5 and place points at all negative even integers and all positive odd integers.
4 step solution
Problem 18
How many units are there between the given pair of numbers? -7 and -4
3 step solution
Problem 18
Find each value. \((-51) \div(-7)\)
4 step solution
Problem 18
Find the value of each of the following. Use a calculator to check each result. $$ (-5)(-2) $$
4 step solution
Problem 18
Use a calculator to find each difference. $$ -31.89-44.17 $$
3 step solution
Problem 18
Determine each of the values. $$ |-9| $$
2 step solution
Problem 18
Find the sums. $$ 0+(0.57) $$
4 step solution
Problem 18
How should the number in the following 6 problems be read? (Write in words.) -7
4 step solution
Problem 18
Draw a number line that extends from -5 to 5 . Place points at all integers that satisfy \(-3 \leq x<4\).
5 step solution
Problem 19
How many units are there between the given pair of numbers? -6 and 0
5 step solution
Problem 19
Find each value. \(\frac{-42}{-7}\)
3 step solution
Problem 19
Find the value of each of the following. Use a calculator to check each result. $$ \text { (3) }(-12) $$
3 step solution
Problem 19
Use a calculator to find each difference. $$ -0.797-(-0.615) $$
4 step solution
Problem 19
Determine each of the values. $$ |-1| $$
3 step solution
Problem 19
Find the sums. $$ -879+454 $$
5 step solution
Problem 19
How should the number in the following 6 problems be read? (Write in words.) -5
4 step solution
Problem 19
Is there a largest two digit number? If so, what is it?
4 step solution
Problem 20
How many units are there between the given pair of numbers? -1 and 1
3 step solution
Problem 20
Find each value. \(\left|\frac{-32}{8}-\frac{-15-5}{5}\right|\)
3 step solution
Problem 20
Find the value of each of the following. Use a calculator to check each result. $$ (4)(-18) $$
4 step solution