Classifying Sets of Real Numbers

Classify the number by checking all that apply!

-6.75

(Hint: every number shown is a REAL number!)

• Natural

• Whole

• Integer

• Rational

• Irrational

• Natural

• Whole

• Integer

• Rational

• Irrational

• Natural

• Whole

• Integer

• Rational

• Irrational

• Natural

• Whole

• Integer

• Rational

• Irrational

• 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.

Which could be the value of D?

• -10

• 0

• 2.5

Which could NOT be the value of B?

• 5

• -12.5

Which example could be represented by A?

• -2.555555...

• 3.14