Prime Factorization
Fraction to Decimal
Decimal to Fraction
Exponents & Square roots
Rational or Irrational
100
Give the prime factorization of 144
3^2 x 2^4
100
Write the decimal equivalents to 5/6
.83333
100
Write the fraction equivalents to .54
27/50
100
Find the square root of 121
11
100
Is .666666 rational or irrational? Why?
Rational because it is a repeating decimal
200
Give the prime factorization of 62
2 x 31
200
Write the decimal equivalents to 7/12
.58333333
200
Write the fraction equivalents to .75
3/4
200
(-3)^4
81
200
Is the square root of 81 rational or irrational? Why?
Rational because 81 is a perfect square so the square root is equal to 9
300
Give the prime factorization of 125
5^3
300
Write the decimal equivalents to 1/5
.2
300
Write the fraction equivalents to .102
51/500
300
Estimate the square root of 99
10
300
Is .65223615499.... rational or irrational? Why?
Irrational because it does not repeat with a pattern or terminate
400
What is the prime factorization of 220
2^2 x 5 x 11
400
Write the decimal equivalents to 9/4
2.25
400
Write the fraction equivalents to .052
13/250
400
3^3 + 4^2
43
400
Is .3152 rational or irrational? Why?
Rational because the decimal terminates
500
Write the prime factorization for 168
2^2 x 3 x 7
500
Write the decimal equivalents to -6/4
-1.5
500
Write the fraction equivalents to 3.59
3 59/100
500
Find the square root of (-144)
Cannot be done
500
Is square root of 26 rational or irrational? Why?
Irrational because 26 is not a perfect square
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