Sections 1.2 and 1.3 Review Algebra 2

Classify the following number by naming the set or sets to which it belongs:

-9

• Integer

• Rational number

• Irrational

• Integer and rational numbers

Which of the following is an irrational number?

• 
• 
• 
• 

Which kind of decimals are irrational?

• Those that terminate.

• Those that repeat a pattern.

• Those that never end.

• Those that never end and have no pattern.

 $\sqrt{3}$   is what type of number? (Check all classifications that apply)

• rational

• whole

• integer

• irrational

 $\sqrt{25}$   results in what type of number? (Check all classifications that apply)

• rational

• whole

• integer

• irrational

 $0.\overline{7}$   is what type of number? (Check all classifications that apply)

• rational

• whole

• integer

• irrational

 $2\frac{3}{11}$  is what type of number? (Check all classifications that apply)

• rational

• whole

• integer

• irrational

Classify the number by checking all that apply!

 $-\sqrt{9}$  

• Natural

• Whole

• Integer

• Rational

• Irrational

Rachel states that -5.5 is an integer because it is negative.

Is she correct?

Why or why not?

• Yes, because all negatives are integers.

• Yes, because all integers have decimals.

• No, because integers do not have decimals.

• No, because integers cannot be negative.

Jeremy says that 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern.

Is he correct?

Why or why not?

• Yes, because the decimal is repeating.

• No, because it is an integer.

• No, because a pattern is not a repeating decimal.