Rational Numbers
Is -7 a rational number? Why or why not?
Yes; -7 can be written as a fraction:
-7/1
Convert to a decimal:
18/20
0.90
Calculate -8 + 3
-5
11^2
121
Estimate the the nearest tenth:
sqrt101
approx10.1
What is a rational number?
A rational number is any number that can be written as a fraction of two integers, where the denominator is not zero. In symbols, it can be written as a/b, where a and b are integers and b ≠ 0.
Convert to a fraction:
0.23
23/100
Calculate -10 - (-14)=
4
sqrt16
4
Estimate to the nearest tenth:
sqrt13
approx3.6
Why isn't 0.33333... an irrational number?
Because it is repeating.
Convert to a decimal:
3/9
0.33333...
42+(-12)div6
40
7^2
49
Estimate to the nearest tenth:
sqrt52
approx7.2
How many numbers are between 0.45 and 0.47?
Infinity
Convert 0.4 into a fraction in simplest form.
2/5
5^2-(-5)times5
50
sqrt225
15
Estimate to the nearest tenth:
sqrt200
approx 14.1
What makes a number irrational?
It must be non-terminating and non-repeating
A student says 0.35 = 35/10 . Identify the mistake and give the correct fraction in simplest form.
There are two numbers after the decimal point, so the answer should be over 100.
35/100
(4times7+(-3))/(6^2-11)
1
sqrt36 + 9^2
87
Estimate to the nearest tenth:
sqrt110
approx10.5