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Hotmath Practice Problems

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Title:
Hotmath Pre-Algebra
Author:
Hotmath Team
 
Free
Chapter:Real Numbers and the Pythagorean TheoremSection:The Real Number System
 

Problem: 1

Classify the given number as rational or irrational.

√ 0


Problem: 3

Classify the given number as rational or irrational.

√ 76


Problem: 5

State whether the number is rational or irrational. Give your reason.

√ 12


Problem: 7

State whether the number is rational or irrational. Give your reason.


Problem: 9

Classify the given number as rational or irrational.

0.626226222...


Problem: 11

Identify the sets of numbers to which the given number belongs: the whole numbers, the integers, the rational numbers, the irrational numbers, and/or the real numbers.

5


Problem: 13

Identify the sets of numbers to which the given number belongs: the whole numbers, the integers, the rational numbers, the irrational numbers, and/or the real numbers.

–1.2


Problem: 15

Identify the sets of numbers to which the given number belongs: the whole numbers, the integers, the rational numbers, the irrational numbers, and/or the real numbers.

0.656656665...


Problem: 17

Identify the sets of numbers to which the given number belongs: the whole numbers, the integers, the rational numbers, the irrational numbers, and/or the real numbers.

√ 22


Problem: 19

Match – √ 11 with a point on the number line.


Problem: 21

Match √ 3.6 with a point on the number line.


Problem: 23

Compare the numbers by replacing ? with , or =.

–8 ? – √ 8


Problem: 25

Compare the numbers by replacing ? with , or =.


Problem: 27

Arrange the numbers in ascending order.

1/5, 0.85, 15%


Problem: 29

Plot the numbers on a number line. Use " ", " ", or "= " to complete the statement.


Problem: 31

Plot the numbers on a number line. Use " ", " ", or "= " to complete the statement.


Problem: 33

Plot the numbers on a number line. Use " ", " ", or "= " to complete the statement.


Problem: 35

Plot the numbers on a number line. Find the least and the greatest numbers.


Problem: 37

Arrange the numbers in ascending order.


Problem: 39

Write the numbers in the ascending order.


Problem: 41

If b = 16, and c = 25, find Is the result rational or irrational?


Problem: 43

If q = 9, and r = 16, find √r – √q. Is the result rational or irrational?


Problem: 45

If q = 9, and r = 16, find √r q. Is the result rational or irrational?


Problem: 47

Obtain the solution of the given equation. Round decimal answers to the nearest tenth.

r2 = 25


Problem: 49

Obtain the solution of the given equation. Round decimal answers to the nearest tenth.

y2 = 18


Problem: 51

Obtain the solution of the given equation. Round decimal answers to the nearest tenth.

(–b)2 = 64


Problem: 53

If the measures of the sides are a, b, and c, the area A equals √ (s(sa) (sb) (sc)), where s is one–half the perimeter. Find the area of the triangle with sides 39 feet, 80 feet, and 89 feet long. (Use the given figure.)