Section 1
Real Numbers and Their Graphs
Fill in the blanks.A ___________ is a collection of objects.
Fill in the blanks.The numbers $1,2,3,4,5, \ldots$ form the set of ___________ numbers.
Fill in the blanks.The set of ___________ numbers is the set $\{0,1,2,3,4,5, \ldots\}$.
Fill in the blanks.The set of ___________ is the set (. . . . $-3,-2,-1,0,1,2,3, \ldots$.
Fill in the blanks.Since every whole number is also an integer, the set of whole numbers is called a ___________ of the set of integers.
Fill in the blanks.$\sqrt{2}$ is an example of an ___________ number.
Fill in the blanks.If a natural number is greater than 1 and can be divided exactly only by 1 and itself, it is called a ___________ number.
Fill in the blanks. A composite number is a $\qquad$ number that is greater than 1 and is not ___________
Fill in the blanks.The symbol $\neq$ means ___________
Fill in the blanks.The symbol _ means "is less than."
Fill in the blanks.The symbol $\geq$ means ___________
Fill in the blanks.The opposite of -7 is ___________
Fill in the blanks.The figure ___________ line.
Fill in the blanks.The distance between 8 and 0 on a number line is called the ___________ of 8 .
Which numbers in the set $\left\{-3,-\frac{1}{2},-1,0,1,2,\{, \sqrt{7}, 3.25,6,9\}\right.$ areNatural numbers
Which numbers in the set $\left\{-3,-\frac{1}{2},-1,0,1,2,\{, \sqrt{7}, 3.25,6,9\}\right.$ areWhole numbers
Which numbers in the set $\left\{-3,-\frac{1}{2},-1,0,1,2,\{, \sqrt{7}, 3.25,6,9\}\right.$ arePositive integers
Which numbers in the set $\left\{-3,-\frac{1}{2},-1,0,1,2,\{, \sqrt{7}, 3.25,6,9\}\right.$ are Negative integers
Which numbers in the set $\left\{-3,-\frac{1}{2},-1,0,1,2,\{, \sqrt{7}, 3.25,6,9\}\right.$ areIntegers
Which numbers in the set $\left\{-3,-\frac{1}{2},-1,0,1,2,\{, \sqrt{7}, 3.25,6,9\}\right.$ areRational numbers
Which numbers in the set $\left\{-3,-\frac{1}{2},-1,0,1,2,\{, \sqrt{7}, 3.25,6,9\}\right.$ areReal numbers
Which numbers in the set $\left\{-3,-\frac{1}{2},-1,0,1,2,\{, \sqrt{7}, 3.25,6,9\}\right.$ are Irrational numbers
Which numbers in the set $\left\{-3,-\frac{1}{2},-1,0,1,2,\{, \sqrt{7}, 3.25,6,9\}\right.$ areOdd integers
Which numbers in the set $\left\{-3,-\frac{1}{2},-1,0,1,2,\{, \sqrt{7}, 3.25,6,9\}\right.$ areEven integers
Which numbers in the set $\left\{-3,-\frac{1}{2},-1,0,1,2,\{, \sqrt{7}, 3.25,6,9\}\right.$ areComposite numbers
Which numbers in the set $\left\{-3,-\frac{1}{2},-1,0,1,2,\{, \sqrt{7}, 3.25,6,9\}\right.$ are Prime numbers
Simplify each expression. Then classify the result as a natural number, an even integer, an odd integer, a prime number, a composite number, and/or a whole number.$4+5$
Simplify each expression. Then classify the result as a natural number, an even integer, an odd integer, a prime number, a composite number, and/or a whole number.$7-2$
Simplify each expression. Then classify the result as a natural number, an even integer, an odd integer, a prime number, a composite number, and/or a whole number.$15-15$
Simplify each expression. Then classify the result as a natural number, an even integer, an odd integer, a prime number, a composite number, and/or a whole number. $0+7$
Simplify each expression. Then classify the result as a natural number, an even integer, an odd integer, a prime number, a composite number, and/or a whole number. $3 \cdot 8$
Simplify each expression. Then classify the result as a natural number, an even integer, an odd integer, a prime number, a composite number, and/or a whole number.$8 \cdot 9$
Simplify each expression. Then classify the result as a natural number, an even integer, an odd integer, a prime number, a composite number, and/or a whole number.$24 \div 8$
Simplify each expression. Then classify the result as a natural number, an even integer, an odd integer, a prime number, a composite number, and/or a whole number.$3 \div 3$
Place one of the symbols $=,<$, or $>$ in each box to make a true statement.$5 \quad 3+2$
Place one of the symbols $=,<$, or $>$ in each box to make a true statement.$9 \quad 7$
Place one of the symbols $=,<$, or $>$ in each box to make a true statement. $25 \quad 32$
Place one of the symbols $=,<$, or $>$ in each box to make a true statement.$2+3 \quad 17$
Place one of the symbols $=,<$, or $>$ in each box to make a true statement.$5+7 \quad 10$
Place one of the symbols $=,<$, or $>$ in each box to make a true statement. $3+3 \quad 9-3$
Place one of the symbols $=,<$, or $>$ in each box to make a true statement. $3+9 \quad 20-8$
Place one of the symbols $=,<$, or $>$ in each box to make a true statement.$19-3 \quad 8+6$
Place one of the symbols $=,<$, or $>$ in each box to make a true statement.$4 \cdot 2 \quad 2 \cdot 4$
Place one of the symbols $=,<$, or $>$ in each box to make a true statement.$7 \cdot 9 \quad 9 \cdot 6$
Place one of the symbols $=,<$, or $>$ in each box to make a true statement.$8+2 \quad 4+2$
Place one of the symbols $=,<$, or $>$ in each box to make a true statement.$0 \div 7$
Place one of the symbols $=,<$, or $>$ in each box to make a true statement. $3+2+5 \quad 5+2+3$
Place one of the symbols $=,<$, or $>$ in each box to make a true statement.$8+5+2 \quad 5+2+8$
Write each sentence as a mathematical expression.Seven is greater than three.
Write each sentence as a mathematical expression. Five is less than thirty-two.
Write each sentence as a mathematical expression. Eight is less than or equal to eight.
Write each sentence as a mathematical expression.Twenty-five is not equal to twenty-three.
Write each sentence as a mathematical expression.The result of adding three and four is equal to seven.
Write each sentence as a mathematical expression. Thirty-seven is greater than the result of multiplying three and four.
Write each sentence as a mathematical expression.$\sqrt{2}$ is approximately equal to 1.41 .
Write each sentence as a mathematical expression. $x$ is greater than or equal to 12 .
Write each inequality as an equivalent inequality in which the inequality symbol points in the opposite direction.$3 \leq 7$
Write each inequality as an equivalent inequality in which the inequality symbol points in the opposite direction. $5>2$
Write each inequality as an equivalent inequality in which the inequality symbol points in the opposite direction.$6>0$
Write each inequality as an equivalent inequality in which the inequality symbol points in the opposite direction.$34 \leq 40$
Write each inequality as an equivalent inequality in which the inequality symbol points in the opposite direction. $3+8>8$
Write each inequality as an equivalent inequality in which the inequality symbol points in the opposite direction.$8-3<8$
Write each inequality as an equivalent inequality in which the inequality symbol points in the opposite direction.$6-2<10-4$
Write each inequality as an equivalent inequality in which the inequality symbol points in the opposite direction.$8 \cdot 2 \geq 8 \cdot 1$
Write each inequality as an equivalent inequality in which the inequality symbol points in the opposite direction.$2 \cdot 3<3 \cdot 4$
Write each inequality as an equivalent inequality in which the inequality symbol points in the opposite direction.$8 \div 2 \geq 9 \div 3$
Write each inequality as an equivalent inequality in which the inequality symbol points in the opposite direction.$\frac{12}{4}<\frac{24}{6}$
Write each inequality as an equivalent inequality in which the inequality symbol points in the opposite direction.$\frac{2}{3} \leq \frac{3}{4}$
Graph each pair of numbers on a number line. In each pair, indicate which number is the greater and which number lies farther to the right.3, 6
Graph each pair of numbers on a number line. In each pair, indicate which number is the greater and which number lies farther to the right.4,7
Graph each pair of numbers on a number line. In each pair, indicate which number is the greater and which number lies farther to the right.11,6
Graph each pair of numbers on a number line. In each pair, indicate which number is the greater and which number lies farther to the right. 12,10
Graph each pair of numbers on a number line. In each pair, indicate which number is the greater and which number lies farther to the right.0,2
Graph each pair of numbers on a number line. In each pair, indicate which number is the greater and which number lies farther to the right.4,10
Graph each pair of numbers on a number line. In each pair, indicate which number is the greater and which number lies farther to the right. 8,0
Graph each pair of numbers on a number line. In each pair, indicate which number is the greater and which number lies farther to the right.20, 30
Graph each set of numbers on the number line.The natural numbers between 2 and 8
Graph each set of numbers on the number line.The prime numbers from 10 to 20
Graph each set of numbers on the number line.The even integers greater than 10 but less than 20
Graph each set of numbers on the number line.The even integers that are also prime numbers
Graph each set of numbers on the number line.The numbers that are whole numbers but not natural numbers
Graph each set of numbers on the number line. The prime numbers between 5 and 15
Graph each set of numbers on the number line.The natural numbers between 15 and 25 that are exactly divisible by 6
Graph each set of numbers on the number line.The odd integers between -5 and 5 that are exactly divisible by 3
Graph each set of numbers on the number line.The real numbers between I and 5
Graph each set of numbers on the number line.The real numbers greater than or equal to 8
Graph each set of numbers on the number line.The real numbers greater than or equal to 3 or less than or equal to -3
Graph each set of numbers on the number line.The real numbers greater than -2 and less than 3
Find each absolute value.$\mid 36$
Find each absolute value. $|-30|$
Find each absolute value. $|0|$
Find each absolute value.$|120|$
Find each absolute value.$|-230|$
Find each absolute value. $|18-12|$
Find each absolute value. $|12-4|$
Find each absolute value. $|100-100|$
Explain why there is no greatest natural number.
Explain why 2 is the only even prime number.
Explain how to determine the absolute value of a number.
Explain why zero is an even integer.
Find a number that fits in as many of these categories as possible.
Find a number that fits in as few of these categories as possible.