8th Math Unit 1 Real Numbers

Rational & Irrational

100

Which number is irrational?

12/10, sqrt16, 4 3/4, sqrt7

What is sqrt7?

200

0.3454545....

is what type of number?

What is a rational number?

300

-3 is what type of number:

A. Rational   B. Rational & Integer                             C.  Rational, Integer & Whole

What is B., Rational and Integer

400

Write each number as a fraction or a mixed number.

0.23.....

What is 23/99?

500

Write each number as a fraction or a mixed number.

0.04444......

What is 2/45?

Square & Cube Roots

100

The volume of a box is 27 cubic inches.  What is the side length?

What is 3 inches?

200

What number greater than 1 and less than 100 is both a perfect square and perfect cube?

What is 64?

300

Solve the equation:

x² = 50

What is sqrt(50) or - sqrt(50)?

400

The area of the bottom of a cube shaped fish tank is 289 square inches.  How much water can the tank hold in cubic inches?

What is 4,913 cubic inches?

500

Solve for x:

x³ - 10 = -74

What is x = -4?

Scientific Notation

100

9.27 x 10⁴ in standard form.

What is a 92,700?

200

3.845 x 10^-5 in standard form.

What is 0.00003845? 

300

Perform each operation and express answer in scientific notation:

(6x10⁹) / (2.4x10³)

What is 2.5x10⁶

400

Perform each operation and express answer in scientific notation:

(4.2x10⁵) x (2.5x10³)

What is 1.05x10⁹?

500

The human body has 4.22x10²⁷ atoms of hydrogen and 3.9x10²⁵ atoms of nitrogen.  How many more atoms of hydrogen are there than nitrogen?

What is 4.181x10²⁷?

Ordering Numbers

100

This is the largest number in this list.

12/10, sqrt16, 4 3/4, sqrt7

What is 

4 3/4

200

Place this list of numbers in order from least to greatest.

-3 1/3, -3.3, -pi, -sqrt10, -18/6

What is

-3 1/3, -3.3, -sqrt10, -pi, -18/6

?

300

Put this list of numbers in order from greatest to least.

6.1, 34/5, sqrt48, 64%

What is 

sqrt48, 34/5, 6.1, 64%

?

400

Order these numbers from greatest to least.

1.1, sqrt8/3, sqrt3, 1 1/2

What is

sqrt3, 1 1/2, 1.1, sqrt8/3

?

500

Order these numbers from least to greatest.

-8.1, -(8pi)/3, -8 1/2, -sqrt400/4

What is 

-8 1/2, -(8pi)/3, -8.1, -sqrt400/4

?

Integer Exponent Properties

100

What is 4x⁰? 

What is 4?

200

What is (2x⁴)(3x⁶)?

What is 6x¹⁰?

300

Simplify the expression:

(2x³)³

What is 8x⁹?

400

Simplify the expression:

3⁴x⁵ / 3⁷x³

What is x² / 27?

500

Simplify the expression:

-5²x^-3y⁵(2xy)

-50y⁶ / x²