Real-Life Problems
Sets of Real Numbers
Fractions to Decimals
Decimals to Fractions
Square Root
100
The world’s smallest country is Vatican City. It covers 17 100 square mile. What is Vatican City’s area written as a decimal?
0.17
100
What are the categories numbers can belong to?
Real, Rational, Integers, Whole, Irrational
100
Convert 1/4 to a decimal
0.25
100
What is 0.75 as a fraction?
3/4
100
What is the square root of 64?
+-8
200
What is 5^2 written out as?
5x5=25
200
The square root of 18 belongs to what categories?
Irrational and Real
200
What 345/1000 as a fraction?
0.345
200
What is 1.67 as a fraction?
1 67/100
200
What is the square root of 225?
+-15
300
A square sandbox has an area of 49 ft2. What is the length of each of its sides? (Hint: side = sq root 49 )
7 ft
300
What category does -7 belong to?
Integer, Rational, Real
300
What is 8/10 as a decimal?
0.8
300
What is .4 as a decimal in simplest form?
4/10=2/5
300
Which is greater the square root of 3+6 or square root of 3+2?
> (square root of 3+6)
400
A tablet weighs 1.23 pounds. What is its weight written as a mixed number?
1 23/100
400
What category does -23/100 belong to?
Rational and Real
400
What 234/100 as a decimal?
2.34
400
What is 35.65 as a fraction in simplest form?
35 65/100=35 13/20
400
Which is greater: square root of 8-3 or square root 7+5?
What is < (square root of 7+5)
500
How does finding a cube root differ from finding a square root of a positive/negative integer? How do the answers differ?
When you find a square root, you find two factors that are the same. They can be positive or negative. When you find a cube root, you find three factors that are the same. They are positive.
500
Why is 4.567890731.... irrational and not rational?
The decimal doesn't terminate or repeat. It continues on so it is irrational.
500
What is 0.15 repeating as a decimal?
15/99
500
Convert 0.189 repeating as a fraction.
189/999
500
Where on a number line would the square root of 73 lie? (Hint Draw a number line and plot the square root). WITHOUT A CALCULATOR
between 8 and 9. Approximately 8.5/8.6 midway between 8 and 9.
M
e
n
u