Proportion word problems
PERFECT SQUARE ROOTS
ESTIMATING IRRATIONAL NUMBERS
RATIONAL VS. IRRATIONAL
WORD PROBLEMS
100
42.5 hours 17(5)/2
Carol spends 17 hours in a 2-week period practicing her culinary skills. How many hours does she practice in 5 weeks?
100
5
What is the square root of 25?
100
5.7
What is the square root of 33?
100
RATIONAL - because you can simplify the square root to 3 which is the quotient of the integer 3 and 1
Square root of 9.
100
11.3
What is the length of a side of a square which has a area of 127 square meters?
200
2400 words 80(30)=2400
In the typing world, 80 words per minute is considered acceptable. How many words per 30 minutes is this?
200
8
What is the square root of 64?
200
11.2
What is the square root of 125?
200
IRRATIONAL -You cannot simply this square root (like we did with ) so this number is irrational. ALL irreducible square roots are irrational
Square root of 7?
200
10.2
What is the length of the side of a square that has a area of 104?
300
6 hours (12/2)
A rainstorm produced a rainfall of 2 inches per hour. How many hours would it take to get a rainfall amount of one foot?
300
10
What is the square root of 100?
300
6.2
What is the square root of 38?
300
IRRATIONAL If a fraction has a denominator of zero, it is irrational
5/0
300
9.1
What is closest to the length of each side of a square that has a area of 83?
400
4
The chance of a woman getting breast cancer in her lifetime is 1 out of 8. At this rate, how many women in a classroom of 32 women would be expected to come down with breast cancer in her lifetime?
400
11
What is the square root of 121?
400
3.9
What is the square root of 15?
400
RATIONAL -All repeating decimals are rational
.11 repreating
400
9.4
What is the side of line A, if line A is equal to the square root of 89?
500
100 tape players
A worker can complete the assembly of 15 tape players in 6 hours. At this rate, how many can the worker complete in a 40-hour work week?
500
12
What is the square root of 144?
500
7.2
What is the square root of 52?
500
Irrational -Pi is probably the most well known irrational number out there
pi (3.14)
500
13.8
What is the side of Jacks square aquarium with an area of 190 square inches?
M
e
n
u