Rational or Irrational
Is √64 rational or irrational?
Rational
Which fraction represents a terminating decimal — 1/3, 1/4, 2/9, or 5/11?
1/4
What is the square root of 36?
6
Estimate √70 to the nearest tenth.
8.4 (about 8.4 or 8.5)
Which set does -2 belong to: whole numbers, integers, or natural numbers?
Integers
Which number is not rational: ½, 0.25, √2, or -3?
√2
Which decimal is repeating — 0.25, 0.8, 0.777..., or 0.5?
0.777...
Which number is a perfect cube — 8, 9, 10, or 18?
8
Which symbol completes: √49 ___ 7
=
Which set does 0 belong to: whole numbers, integers, or natural numbers?
whole numbers
The number π (pi) is what type of number?
Irrational
What type of decimal is 42/60 when written as a decimal?
Terminating
Which number is a perfect square — 50, 64, 75, or 99?
64
Which number is closer to √100 — 8, 9, 10, or 11?
10
What is a natural number?
A counting number (1,2,3,4.....)
The area of a circle is 100π yd². Is that rational or irrational?
Irrational
What fraction equals 0.333...?
⅓
Which number is neither a perfect square nor a perfect cube — 16, 27, 20, or 8?
20
Estimate the side length of a cube with volume 950 in³.
About 10 inches
What are all the categories/sets of real numbers?
Irrational, Rational, Integers, Whole numbers, Natural numbers
Explain why √50 is irrational.
Because 50 is not a perfect square, and √50 can’t be written as a fraction — it’s a non-repeating, non-terminating decimal.
Describe how to convert a repeating decimal (like 0.777...) to a fraction.
Let N = 0.777... → Multiply both sides by 10 → Subtract → Solve 9N = 7 → N = 7/9.
List all perfect squares between 1 and 100.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
√150 is between which two integers?
12 and 13
What makes a number Irrational?
Non-terminating and Non-repeating decimal that can not be turned into a fraction. No set "pattern".