Rational or Irrational?
Approximate It!
Exponent Power
Roots & Solutions
Scientific Showdown
100

Rational or Irrational? Why? 0.454545… 

What is rational because it repeats?

100

Between which two whole numbers does √20 lie?

What is between 4 and 5?

100

Simplify: 2³

What is 8?

100

Evaluate: √225

What is 15?

100

Write 0.00045 in scientific notation.

What is 4.5 × 10⁻⁴?

200

Rational or Irrational? Why? √18

What is irrational because it is not a perfect square?

200

Approximate √65 to the nearest whole number.

What is 8?

200

Simplify: (5²)³

What is 5⁶?

200

Solve: x² = 81

What is x = 9 and x = -9?

200

Which is larger:
6 × 10⁵ or 9 × 10⁴?

What is 6 × 10⁵?

300

Convert 0.7 (repeating 7) to a fraction.

What is 7/9?

300

Order from least to greatest: √2, 1.5,π (pi)

What is √2, 1.5, π (pi)?

300

Simplify: 3⁴ × 3²

What is 3⁶?

300

Solve: x³ = -64

What is x = -4?

300

Multiply:
(3 × 10³)(2 × 10⁴)

What is 6 × 10⁷?

400

Is 0.1010010001… rational or irrational?

What is irrational?

400

A square has area 50 square units. Estimate the side length to the nearest tenth.

What is about 7.1 units?

400

Rewrite 4⁻²

What is 1/4² or 1/16?

400

True or false: x² = 16 has two solutions but x³ = 16 has one.

What is true?

400

Divide:
(8 × 10⁶) ÷ (2 × 10²)

What is 4 × 10⁴?

500

A student says √49 is irrational because it has a radical symbol. Is the student correct?

What is no, because √49 = 7 which is rational?

500

What is the square root of 1000?

What is approximately 32?

500

Simplify  (2³ × 2⁻⁵)

What is 2⁻²?

500

A cube has volume 512 cubic inches.
Find the side length.

What is 8 inches?

500

Earth’s mass ≈ 6 × 10²⁴ kg
Moon’s mass ≈ 7.5 × 10²² kg

About how many times greater is Earth’s mass?

What is about 80 times greater?