Classify & Recall
Is 3/4 rational or irrational?
Rational
What is √64?
8
Write 3,000 in scientific notation.
3 × 10³
The population of a town is 5 × 10³. What is this number in standard form?
5,000
Simplify: (2² × 2³) ÷ 2⁴
2¹ = 2
Is √2 rational or irrational?
Irrational
What is ∛27?
3
Write 4.5 × 10⁴ in standard form.
45,000
A bacteria culture grows from 2 × 10² to 6 × 10⁴. How many times larger did it grow?
300 times
Write √50 in simplest radical form.
5√2
What type of number is 0.75?
Rational
Simplify: 2³ × 2²
2⁵ = 32
Which is larger: 2 × 10⁵ or 5 × 10⁴?
2 × 10⁵
A square has an area of 49 square units. What is the side length?
7 units
Convert 0.00045 to scientific notation, then multiply by 10².
4.5 × 10⁻⁴ → 4.5 × 10⁻²
Is π rational or irrational?
Irrational
Simplify: (3²)³
3⁶ = 729
Write 0.0006 in scientific notation.
6 × 10⁻⁴
The volume of a cube is 125 cubic units. What is the side length?
5 units
Order from least to greatest: √3, 1.5, π
1.5, √3, π
Name a number that is both an integer and a rational number.
Any integer (example: 5, -3, 0)
5⁴ ÷ 5²
5² = 25
Multiply: (2 × 10³)(3 × 10²)
6 × 10⁵
A number is irrational. When squared, could it become rational? Explain.
Yes (example: √2 squared = 2)
A student says all square roots are irrational. Is this correct? Explain.
No; perfect squares (like √16 = 4) are rational