Rational vs. Irrational
Converting between rational and irrational
Properties
Combine Like Terms (Advanced)
Simplify/Evaluate Algebraic Expressions
100

Is 4.3333... a rational or irrational number?

What is rational number?

100

Write 0.141414...

What is 14/99

100

Which property is being used? 4 (6c + 9) = 24c + 36

What is the Distributive Property?

100
Simplify. -3x+12-16+7x
4x-4
100
Simplify. 4(b-6)+19
4b-5
200

Is 8.123 a rational or irrational number?

What is a rational number?

200

Write 5/9 as a decimal.

What is 0.5555...

200

Which property is demonstrated here? 

1 x 89 = 89

What is the Multiplicative Identity?

200
Simplify. -15m-26+12x-12+8m
12x-7m-38
200
Simplify. 4(-3p+6)-3
-12p+21
300

Explain why 5.671038475... is an irrational number.

It is a nonterminating decimal that does not have a pattern, so it cannot be written as a fraction.

300

Write -4 9/10 as a decimal.

What is -4.9?

300

Which property is being used here? 

26 + (38 + 74) = (26 + 38) + 74

What is the Associative Property?

300
Simplify. 12p+9p-6p+14-26+2p
17p-12
300
Simplify. 4x-5(x+6)
-x+6
400

Which of the following is an irrational number? A. 0.9999... B. 3/5 C. -7 D. 3.928374...

What is D?

400

Write 0.65 as a fraction.

What is 13/20.

400

Which property is being used? 

25(1/25) = 1

What is the Multiplicative Inverse?

400
Simplify. -8g+12-15g-2g-17
-25g-5
400
Simplify. 3(5-2n)+9n
15+3n
500

Which inequality correctly compares one rational number and one irrational number? 

  • A.  

  • B.  

  • C.  

  • D.  


What is A.

500

The square root of 189 is between which two numbers?

What is 13 and 14?

500

True or False

The Associative Property works for multiplication and addition.

True.

500
Simplify. -8x+12-8x+15+15x-22-x
-2x - 5
500
Simplify. -2(x-6)+3(x+5)
x+27