Fractions and Decimals
Convert 3/4 into a decimal
0.75
What is 52?
25
Estimate √10 to the nearest whole number
3
Is 7/3 rational or irrational? Explain why.
Rational because it can be written as a fraction
Which is larger, 4/5 or 0.75?
4/5
Convert 0.125 to a fraction in simplest form
1/8
What is √64?
8
Which two whole numbers is √45 between?
6 and 7
Is pi a rational or irrational number? Explain why
Irrational because it's a non-repeating, non-terminating decimal
Put the following numbers in order from least to greatest: 1.2, 3/4, √2
3/4, √2, 1.2
Convert 5/8 into a decimal
0.625
Is √81 rational or irrational?
Rational because it is a perfect square
Estimate √30 to the nearest tenth
5.5
True or false: All repeating decimals are rational numbers
True
True or false: Every integer is also a real number
Convert 0.6 repeating to a fraction
2/3
What is 122?
144
Which is closer to √27, 5.1 or 5.2?
5.2
Is √2 a rational or irrational number? Explain why
Irrational because it is a non-perfect square
Classify the number -7. What categories does the number fit in (choose all categories from Real, Irrational, Rational, Integer, Whole, Natural)
Real, Rational, Integer
When writing a repeating decimal as a fraction, where the repeating decimal only contains one digit in its sequence, what number can you write as a denominator to convert it to a fraction?
You can write 9 as a denominator
True or false: The square root of 50 is a whole number.
False, it is a non-perfect square so the answer would be a decimal
How can you tell that √85 is greater than 9 but less than 10?
Since 92 = 81 and 102 = 100, and 85 is between 81 and 100, √85 is between 9 and 10
Write an example of a rational number and explain why it's rational.
Answers will vary, Miss G will let you know if it's correct or not.
Classify the following numbers as either irrational or rational, and then order them from least to greatest: √5, 8/3, 3.14, √16
Rational Numbers: 8/3, 3.14, √16
Irrational Numbers: √5
Least to Greatest: 8/3, √5, 3.14, √16