Unit 1: Operations with Real Numbers and Expressions (Keystone Finish Line)

Comparing Real Numbers

100

the set of all rational and irrational numbers

Real Numbers

200

Any number that can be expressed as a fraction

Rational Numbers

300

Numbers that cannot be expressed as a ratio of two integers. Their decimal expansions do not terminate or repeat.

Irrational Numbers

400

Put these numbers in order from smallest to largest: 

pi

sqrt4

6/5

sqrt3

6/5

sqrt3

sqrt4

pi

500

Which of these numbers is irrational?

3.14

71/28

sqrt2

273.413413413...

sqrt2

Simplifying Square Roots

100

When you multiply a number by itself, you are _______ the number

squaring

200

A number that when multiplied by itself equals a given number; the inverse of squaring a number

square root

300

A whole number that has exactly two factors, 1 and itself

Prime Number

400

Numbers whose square roots are integers

Perfect square numbers

500

Simplify (no decimals!): 

sqrt18

3sqrt2

Factorizations

100

The greatest factor that evenly divides into a set of numbers or monomials

Greatest Common Factor

200

The smallest number or expression that is a common multiple of two or more numbers or algebraic terms

Least Common Multiple

300

Find the LCM of 4 and 8

8

400

Find the GCF of 

6x and 3x^2

3x

500

Find the LCM of 

3x and 9x^3

9x^3

Exponents

100

Add the powers when this rule takes place.

Multiplication Rule of Exponents

200

Subtract the powers when this rule takes place.

Division Rule of Exponents

300

Multiply the powers when this rule takes place.

Power to a Power Rule

400

Anything to the zero power is _____

1

500

Simplify:

3x^-4

3/x^4