Use the Pythagorean theorem to find a.
a2 + b2 = c2
b=4, c=5
3
This type of number can be written as a fraction a/b where a and b are integers and b ≠ 0.
What is a rational number?
Use the Pythagorean theorem to find b.
a2 + b2 = c2
a = 7, c = 25
24
The decimal 0.333... (repeating) is this type of number.
What is a rational number?
Use the Pythagorean theorem to find b, round to nearest tenth.
a2 + b2 = c2
a= 10, c=15
11.2
√2 cannot be expressed as a fraction of two integers, so it is classified as this.
What is an irrational number?
Use the Pythagorean theorem to find a, round to the nearest tenth.
a2 + b2 = c2
c=26, b=16.
20.5
This number is rational: π, 22/7, or 0.125?
What is 22/7 and 0.125? (both are rational)
Use the Pythagorean theorem to find a, round to the nearest tenth.
a2 + b2 = c2
c = 37, b = 15
33.8
The square root of 81 is rational but the square root of 82 is?
What is irrational