Order least to greatest
Are You Perfect?
Square It
Cube it
Estimate square and cube roots
100
Square root of 5, square root of 17, 1.9 squared, square root of 16
1.9 squared, square root of 5, square root of 16, square root of 17
100
Is 27 a perfect square? Yes or No and why?
No. 27 falls between two consecutive perfect squares 25 and 36 (squares of 5 and 6).
100
What is 13 squared?
169
100
What is 3 cubed?
27
100
What is the square root of 89 rounded to the nearest whole number? Explain.
9 because 89 falls between two consecutive perfect squares (81 and 100). It is closer to 81.
200
Square root of 25, Cubed root of 64, 2.1 squared, 2 cubed
Cubed root of 64, 2.1 squared, Square root of 25, 2 cubed
200

Is 145 a perfect square? How do you know?

No. 145 is between two consecutive perfect squares 144 and 169 (squares of 12 and 13).

200
What is 15 squared?
225
200
What is 5 cubed?
125
200
What is the cubed root of 69 rounded to the nearest whole number? Explain.
4 69 falls between two consecutive perfect cubes 64 and 125. 69 is closer to 64 so the answer is 4.
300
Cubed root of 125, 2 squared, 2.1 squared, and square root of 10
Square root of 10, 2 squared, 2.1 squared, and cubed root of 125
300

Is 64 a perfect square OR a perfect cube? Which and why?

64 is actually both! 8 squared and 4 cubed are both 64

300

What is 3 squared, then squared again?

81

300
What is 1,000 cubed?
1,000,000,000
300
What is the cubed root of 129 rounded to the nearest whole number? Explain.
5 129 is between two consecutive perfect cubes (125 and 216). 129 is closer to 125 so the cubed root rounded to the nearest whole number is 5.
400
Cubed root of 125, square root of 17, 2 squared, and 3 squared
2 squared, square root of 17, cubed root of 125, and 3 squared
400
Is 81 a perfect cube? Yes or No and why?
No. 81 falls between two consecutive perfect cubes 64 and 125 (cubes of 4 and 5).
400

What is 25 squared?

625

400
What is 3000 cubed?
27,000,000,000
400
What is the cubed root of 150 rounded to the nearest whole number?
5 150 is between two consecutive perfect cubes, 125 and 216 but is closer to 125 so the answer is 5, the cubed root of 125.
500
Cubed root of 216, square root of 35.9, square root of 49, and 3 squared
Square root of 35.9, cubed root of 216, square root of 49, and 3 squared.
500

Is 100 a perfect cube, why or why not?

No, 100 is a perfect square, but 100 is between two perfect cubes, 64 and 125 (4 & 5)

500

What is 4 squared, then squared again?

256

500

What is 2 cubed, then cubed again?

512

500
What is the cubed root of 1023 rounded to the nearest whole number?
10 1023 is very close to 1000 which is the cube of 10.
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