Compare and Order
Perfect Squares
Perfect Cubes
Approximate Irrational Numbers
Rational vs. Irrational
100
Order each set of numbers from least to greatest. 9.26, 9.026, 9.206, 9.602
9.026 9.206 9.26 9.602
100
Determine if number is a perfect square. √99
No 9.95
100
Determine if the number is a perfect cube. ∛512
Yes 8
100
Estimate to the nearest whole number. √76
√64 < √76 < √81 √81 = 9
100
Consider the number and determine if it is rational or irrational. 0.678...
Irrational
200
Order each set of numbers from greatest to least. 7.62, 7.626, 7.26, 6.72
7.626 7.62 7.26 6.72
200
Determine if number is a perfect square. √625
Yes 25
200
Determine if the number is a perfect cube. ∛2197
Yes 13
200
Estimate to the nearest tenth. √7653
87.5
200
Consider the number and determine if it is rational or irrational. 0.444...
Rational
300
Complete the inequality using perfect squares. √ < √144 < √
√121 < √144 < √169
300
If the area of a square is 100 square feet, what is the perimeter of the square?
40 feet
300
If a cube shaped box has a volume of 64 cubic inches, what is the length of one side of the box?
4 inches
300
Use the box method to approximate the irrational number without a calculator. √23
4 7/9
300
Consider the number and determine if it is rational or irrational. √980
Irrational
400
Complete the inequality using perfect squares. √ < √81 < √
√64 < √81 < √100
400
Determine if number is a perfect square. √30
No 5.477
400
If a cube has the side length of 12 inches, what is the volume?
1728 cubic inches
400
Use the number line method to approximate the irrational number without a calculator. √45
6 9/13
400
Consider the number and determine if it is rational or irrational. ∛512
Rational
500
Write a decimal between 1.675 and 1.676
Examples: 1.6753 or 1.6759
500
If the perimeter of a square is 32 feet, what is the length of one side?
8 feet
500
Determine if the number is a perfect cube. ∛74088
Yes 42
500
Approximate the irrational number to the nearest tenth without a calculator. √68
√64 < √68 < √81 8.2
500
Explain the difference between a rational and irrational number.
Rational numbers can be written as a fraction. Irrational numbers cannot be written as a fraction.
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