Free Printable Real Number Systems

1.

Compare the two fractions by cross-multiplying.

\frac{7}{12}\ \ \ \ \ \ \ \ \frac{4}{11}

a)

>

b)

<

c)

=

2.

Compare the two fractions by cross-multiplying.

\frac{18}{5}\ \ \ \ \ \ \ \ \frac{20}{3}

a)

>

b)

<

c)

=

3.

Compare the two fractions by cross-multiplying.

\frac{-6}{13}\ \ \ \ \ \ \ \ \frac{-9}{14}

a)

>

b)

<

c)

=

4.

Compare the two fractions by cross-multiplying.
$\frac{-60}{9}\ \ \ \ \ \ \ \ \frac{-40}{6}$

a)

>

b)

<

c)

=

5.

Estimate the value of $\sqrt{72}.$ Write a whole number.

(a)

6.

Estimate the value of $\sqrt{10}.$ Write a whole number.

(a)

7.

Estimate the value of $\sqrt{40}.$ Write a whole number.

(a)

8.

Estimate the value of $\sqrt{125}.$ Write a whole number.

(a)

9.

Identify the sets to which the following real number belongs. Check all that apply.

\frac{25}{36}

a)

Natural Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

10.

Identify the sets to which the following real number belongs. Check all that apply.

\sqrt{95}

a)

Natural Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

11.

Identify the sets to which the following real number belongs. Check all that apply.

-0.628

a)

Natural Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

12.

Identify the sets to which the following real number belongs. Check all that apply.

-22

a)

Natural Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

13.

Identify the sets to which the following real number belongs. Check all that apply.

7.121221222...

a)

Natural Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

14.

Identify the sets to which the following real number belongs. Check all that apply.

\sqrt{100}

a)

Natural Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

15.

Identify the sets to which the following real number belongs. Check all that apply.

0.\overline{54}

a)

Natural Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

16.

Identify the sets to which the following real number belongs. Check all that apply.

\pi

a)

Natural Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

17.

Identify the sets to which the following real number belongs. Check all that apply.

630

a)

Natural Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

18.

Order the following numbers from least to greatest.

$-3,\ \frac{10}{3},\ 1.2,\ \frac{1}{5},\ \frac{-4}{5}$

a)

$\frac{10}{3},\ 1.2,\ \frac{1}{5},\ \frac{-4}{5},\ -3$

b)

$-3,\ \frac{-4}{5},\ \frac{1}{5},\ 1.2,\ \frac{10}{3}$

c)

$\frac{1}{5},\ \frac{-4}{5},\ 1.2,\ \frac{10}{3},\ -3$

19.

$\frac{2}{3},\ -0.75,\ \pi,\ \sqrt{16},\ \frac{-9}{5}$

Order the following from least to greatest.

a)

$\frac{-9}{5},\ -0.75,\ \frac{2}{3},\ \pi,\ \sqrt{16}$

b)

$\sqrt{16},\ \pi,\ \frac{2}{3},\ -0.75,\ \frac{-9}{5}$

c)

$\frac{2}{3},\ -0.75,\ \frac{-9}{5},\ \pi,\ \sqrt{16}$

20.

Order the following from least to greatest. $\sqrt{99},\ 1,\ -3.6,\ \frac{15}{4},\ 1\frac{6}{7}$

a)

$\sqrt{99},\ \frac{15}{4},\ 1\frac{6}{7},\ 1,\ -3.6$

b)

$1,\ 1\frac{6}{7},\ -3.6,\ \frac{15}{4},\ \sqrt{99}$

c)

$-3.6,\ 1,\ 1\frac{6}{7},\ \frac{15}{4},\ \sqrt{99}$

Real Number Systems

Total questions: 20

Worksheet time: 14mins

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