Real Number System

Integers can be negative, but whole numbers must be positive.

• True

• False

Which subset contains decimals that can repeat?

• Irrational

• Rational

• Integer

• Natural

Integers do not contain decimals or fractions, but rational numbers do.

• True

• False

Natural numbers and whole numbers are the same set of numbers, except zero which is a whole number.

• True

• False

 $-\frac{48}{3}$  Identify all the subsets to which this value belongs.

• Rational, Integer, Whole

• Real, Irrational

• Real, Rational, Integer

• Real, Rational, Integer, Natural

Which of the following values are members of the integer subset of real numbers:

 $15\ \ \ \ \ \ \ 0\ \ \ \ \ -4.86\ \ \ \frac{\ 27}{-3}\ \ \ \ \ \frac{12}{\sqrt{64}}\ \ \ -\sqrt{361}$  

• Only 15 and 0

• All except $\frac{12}{\sqrt{64}}\ and\ -4.86$

• All of them

• None of them

From top to bottom, find the list with the subsets listed in the correct order. It must also list the correct subgroup for the circle on the right.

• Left (T to B): Irrational, Integer, Whole, Natural Right: Rational

• Left (T to B): Irrational, Integer, Natural, Whole Right: Rational

• Left ()T to B: Rational, Integer, Natural, Whole Right: Irrational

• Left (T to B): Rational, Integer, Whole, Natural Right: Irrational

 $0.33\overline{3}\ or\ \frac{1}{3}$  

Which statement is true about this number?

• It is a repeating decimal, so it is a rational number.

• It is a terminating decimal, so it is a rational number.

• It is a repeating decimal, so it is an irrational number.

• It is a terminating decimal, so it is an irrational number.

Choose the set of rational numbers.

• $\sqrt{12},\ -\sqrt{87},\ \pi,\ 4.285....$

• $.21953,\ 0,\ -4\ \frac{2}{3},\ 4.1313\overline{13}$

• $0,\ .21953,\ -4\ \frac{2}{3},\ \sqrt{10}$

• $0,\ \sqrt{12},\ -\sqrt{87}$

Choose the set of irrational numbers.

• $\sqrt{12},\ -\sqrt{87},\ \pi,\ 4.285....$

• $.21953,\ 0,\ -4\ \frac{2}{3},\ 4.1313\overline{13}$

• $0,\ .21953,\ -4\ \frac{2}{3}$

• $\pi,\ \sqrt{12},\ -\sqrt{87}$