Perfect Squares and Roots
The square root of 256
16
To the nearest 10th:
The square root of 15
3.9
Rational or Irrational?
0.121121112…
Irrational
The number 3 is classified as a rational number.
What are the other Real Number classifications for 3
Whole
Natural
Integer
Right Triangle?
12 + 22 = 33
No!
Compare
3/4 ____ 0 .75
=
110
To the nearest 10th.
The square root of 101
10
Rational or Irrational?
3.525252…
Rational
"0" falls into which TWO Rational Number subsets?
Whole
Integers
In a right triangle, the sides are 12, 14, and 14.1 feet respectively.
What side is the hypotenuse?
14.1
17/20 _____ 34/40
=
192
361
Which two perfect squares does the square root of 50 fall between?
7 (49) and 8 (64)
Rational or Irrational?
The square root of 10
Irrational
Rational or Irrational?
5/8
False
Place in ASCENDING ORDER
1/3, 3, 13/11 7.07, 13
1/3, 13, 13/11, 3, 7.07
399
Which two perfect squares does the square root of 149 fall in between?
12 and 13
Rational or Irrational?
The square root of 100?
Rational
Why isn't 0 a "Natural Number?"
Because you don't start at 0 when you count, you start at 1
Solve
Leg = 5 inches
Hypotenuse = 12 inches
Missing leg? (to the nearest 10th)
10.9
99, 0.99, 9/10, 9.9, the square root of 9
99, 9.9, the square root of 9, 0/99, 9/10
203
8000
Name ANY imperfect square that comes between the square root of 100 and 121
Answers will vary!
Name the 3 types of Irrational Numbers
Pi
ANY imperfect Square
ANY non terminating, non repeating decimal
True or False?
A decimal is considered an integer
False!
leg = 6 inches
leg = 8 inches
hypotenuse = (to the nearest 10th)
Place in ASCENDING ORDER
0.7934, 70.34, 29.67, Pi, the square root of 17 (to the nearest 10th)
0.7934, Pi, the square root of 16, 29.67, 70.34