Rational/Irrational?
Define rational number.
A real number that can be written as a fraction or ratio a/b, where b can not be zero.
Convert .07 into a fraction.
7/100
Convert 2/9 into a decimal.
.2222222
What does a real number consist of?
Real numbers include all rational and irrational numbers. All of the numbers that we use in everyday life are real numbers.
Estimate the following square root to the nearest tenth: √18
4.2
Name two types of decimals that can be rational numbers. Give an example of each.
1. Terminating Decimal
Possible examples: .69, .53, .01
2. Repeating Decimal
Possible examples: .455555, .888888
.93 converted into a fraction is ________.
93/100
7/20 converted to a decimal is ________.
.35
True or false....”All integers are rational numbers.”
True.
Estimate the following square root to the nearest tenth: √32
5.6
Is the square root of 81 rational or irrational?
It is a rational number because it is a perfect square.
√81 is 9 or -9.
Write the following decimal as a fraction:
1.27 (repeating decimal)
1 27/99
Write the following fraction as a decimal:
1 7/8
1.875
Write all the names that apply to the following number: -5
Real number, rational number, integer
Estimate the following square root to the nearest hundredth: √18
4.24
Is the square root 8 rational or irrational?
The √8 is irrational.
Convert the following repeating decimal as a fraction in simplest form: x = 0.81
81/99
Convert the following fraction as a decimal in its simplest form: 36/4
9.0
Write all the names that apply to the following number: π (pi)
Real number, irrational number
Convert the following into an exact root: √18
√18 = √(9*2) = √9 * √2 = 3√2
Explain if Pi is a rational or irrational number and why.
Pi is an irrational number because it is not repeating or terminating decimal.
The simplest form of the terminating decimal .25 is ________.
25/100 = 1/4
The simplest form of the fraction 2 36/100 can be written as decimal ________.
2.36
Write all the names that apply to the following number: 81/9
Real number, rational number, integer, whole number
Convert the following into an exact root: √32
√32 = √(2*16) = √2 * √16 = 4√2