Number Properties
Calculator Practice
Rational vs Irrational
Word Problems
100

State the property: 

3 + (2 + 5) = (3 + 2) + 5

Associative Property

100

Convert 0.56 to a fraction 

14/25

100

Rational or Irrational: 

4.34

Rational 

100

Joan owes her father $70. She just got paid $12.50 for babysitting. If she gives that money to her dad, how much will she still owe him?

$57.50 

200

What property gives you a situation of zero. 

Inverse Property

200

Calculate: 53

125

200

Rational or Irrational: 

34.9985687... 

Irrational

200

A candy store produces 50.80 pounds of candy in 8 hours. How many pounds can they produce in one hour?

6.35 pounds

300

State the property: 

5 x (1/5) = 1

Inverse Property

300

Convert 13/25 into a decimal 

0.52

300

Rational vs Irrational: 

5.8989898989... 

Rational 

300

Anna did not realize her checking account had a balance of $300 when she used her debit card for a $415.25 purchase. What is her checking account balance after the purchase?

-115.25

400

State the property: 

xy = yx

Commutative Property of Multiplication 

400

3.6 - (-3)2

12.6

400

Which number is rational? 

square root of 75 

square root of 36

square root of 36

400

Becky purchased a car and is paying $765 monthly for 60 months. Which INTEGER best represents the total amount Becky owes at the end of the 60 months?

-44700

500

Explain what the identity property is. Give an example. 

The identity property is when we get the same answer by adding by 0 or multiplying by 1. 

500

Calculate: 5.8 + -3/4

101/20 or 5.05

500
Describe the difference in a rational and irrational number. 

Rational is a terminating or repeating number that can be written as a fraction. 

Irrational is a non terminating or non repeating number that cannot be written as a fraction. 

500

A diver was swimming 19.4 meters below the water’s surface at 8:00 am. Three hours later, the diver swam

another 10.8 meters below the water’s surface. What is the position of the diver with respect to the water’s surface at 11:00am?

-30.2