Free Printable Number Systems

1.

Ms. Koskinas asked the class, "Is the sum of 4.2 and $\sqrt{2}$ rational or irrational?" Ammy answered that the sum would be irrational. Is Ammy correct? Why or Why not?

a)

Ammy is incorrect because the sum can not be turned into a fraction. Therefore, the sum is rational.

b)

Ammy is incorrect because the sum can be turned into a fraction. Therefore, the sum is rational.

c)

Ammy is correct because the sum can not be turned into a fraction. Therefore, the sum is irrational.

d)

Ammy is correct because the sum can be turned into a fraction. Therefore, the sum is irrational.

2.

Determine if the product of $3\sqrt{2}$ and $8\sqrt{18}$ is rational or irrational.

a)

Rational

b)

Irrational

3.

Which of the following is rational?

a)

$\pi$

b)

$\sqrt{17}$

c)

$\sqrt{121}$

d)

$1.3934753249....$

4.

Which of the following is irrational?

a)

$\frac{2}{3}$

b)

$\sqrt{3}$

c)

$\sqrt{49}$

d)

$4.8$

5.

Given:
L= $\sqrt{2}$
M= $3\sqrt{3}$
N= $\sqrt{16}$
P= $\sqrt{9}$
Which expression results in a rational number?

a)

$L+M$

b)

$M\times N$

c)

$N\times P$

d)

$P+L$

6.

Is the sum of $3\sqrt{2}$ and $4\sqrt{2}$ rational or irrational? Why?

a)

Rational because the sum can be expressed as a fraction.

b)

Rational because the sum cannot be expressed as a fraction.

c)

Irrational because the sum can be expressed as a fraction.

d)

Irrational because the sum cannot be expressed as a fraction.

7.

The product of $\sqrt{576}$ and $\sqrt{684}$ is

a)

Irrational because both factors are irrational

b)

Rational because both factors are rational

c)

Irrational because one factor is irrational

d)

Rational because one factor is rational

8.

Is the product of $\sqrt{16}$ and $\frac{4\ }{7}$ rational or irrational?

a)

Rational

b)

Irrational

9.

Which of the following is irrational?

a)

$\frac{1}{2}\times\sqrt{225}$

b)

$\frac{3}{4}\times\frac{5}{6}$

c)

$\sqrt{25}\times\sqrt{4}$

d)

$4.6+\sqrt{15}$

10.

Which of the following is not always true?

a)

The sum of two rational numbers is rational.

b)

The product of two irrational numbers is rational.

c)

The sum of an irrational number and a rational number is irrational.

d)

The product of a nonzero rational number and an irrational number is irrational.

11.

Which domain would be most appropriate set to use for a function that predicts the number of household online-devices in terms of people in the household?

a)

integers

b)

whole numbers

c)

irrational numbers

d)

rational numbers

12.

A store sells self-serve frozen yogurt sundaes. The function C(w) represents the cost, in dollars, of a sundae weighting w ounces. An appropriate domain for the function would be

a)

integers

b)

rational numbers

c)

nonnegative integers

d)

nonnegative rational numbers

Number Systems

Total questions: 12

Worksheet time: 24mins

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