Squares & Square Roots
What is the square root of 196?
14
What is 4/9 converted to a decimal?
0.44444444....
Is 0.87 rational or irratonal number? Why?
Rational, it is a terminating decimal
Estimate the value of the square root of 50. Which 2 values is this between and what is a decimal estimate?
the square root of 49 and the square root of 64.
between 7 and 8
approximately 7.1
If a fraction converted to a decimal eventually stops, we call it a what?
terminating decimal
14
Give an example of a fraction that could be represented as a repeating decimal.
1/9, 2/9, 1/3, ....
rational, perfect square
Which point is the best estimate for the square root of 5? (#22)
Point A
Taking the square root of a number is the what?
the inverse
Evaluate: 10 + the square root of 169
23
Give an example of a fraction that could be represented as a terminating decimal.
1/4, 1/2, 1/5...
rational, can be written as a fraction and repeating block of numbers
Which Point below best represents which of the following? (#23)
B
The positive square root is know as a what?
the principle square root
Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame?
36 ft
Ricky ran 7/16 of a mile before stopping to tie his shoe. Represent the distance he ran as a decimal. Then, state if the decimal is terminating or repeating.
0.4375; terminating
Is the square root of 70 rational or irrational? Why?
Irrational, non-perfect square.
The point below best represents which of the following? (#24)
A
Non-perfect squares are numbers whose square roots are not what numbers?
not whole numbers
The square pool at Sammie's gym has an area of 144 square feet. What is the length of one side of the pool?
12 ft
Emily ended up using 7/3 cups of flour in a recipe for cookies. Express the amount of flour that she used as a decimal. Then, state if the decimal is terminating or repeating.
2.3333...; repeating
Cameron classified -18/3 as real, rational, integer and a whole number. Is he correct? Why or why not?
He is incorrect. It cannot be a whole number because it is negative.
Shiloh estimated the square root of 190 by placing the point on the number line below. Explain how his estimate could be improved. (#21)
His estimate is too low. It should be closer to 14 than 13.
Give an example of:
a natural number
an integer
an irrational number
anything 1 and above
negative and positive whole numbers
non-repeating, non-terminating and non-perfect squares