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What is a mixed number?

A mixed number is a fraction that includes a WHOLE NUMBER and a FRACTION.

What are rational numbers?

Rational numbers include negative and positive whole numbers and 0, as well as fractions, and decimals that repeat or terminate (i.e., 3/5, 0.2)

What is an improper fraction?

A fraction in which the numerator is greater than the denominator, such as 5/4.

What is a common denominator?

A shared multiple of the denominators of several fractions.

What does GCF and LCM stand for?

Greatest Common Factor and Least Common Multiple

During the 2nd step for dividing a fraction, what do the letters KCF stand for?

KCF: KEEP the first fraction, CHANGE division to multiplication, FLIP the second fraction (called the reciprocal)

Decimal Values Comparison and Cross Product

What two ways to check your work were shown during class?

The numerator is GREATER THAN the denominator in an improper fraction.

In an improper fraction is the numerator GREATER THAN or LESS THAN the denominator?

The _____________________________ is the _____________________________ of your new fraction. The _____________________________ stays the same.

When writing an improper fraction as a mixed number, divide the NUMERATOR by the DENOMINATOR. This is your whole number.

True

True or false. Sometimes when working an order of operations problem, the answer isn't an integer.

Simplify, if necessary.

If you are working an order of operations problem and the answer isn't an integer. What must you be sure to do?

To simplify a fraction, find the _____________________________ of the numerator and denominator and _____________________________.

To simplify a fraction, find the GCF, or GREATEST COMMON FACTOR of the numerator and denominator and divide.

Terminating Decimal

A decimal number that ends or terminates. Example: 6.75

Repeating Decimal

A decimal in which one or more digits repeat infinitely. Example: 0.757575...

Bar Notation

In repeating decimals, the line or bar placed over the digits that repeat.

Divide the numerator by the denominator

How do you write fractions as decimals?

Example: Write each fraction as a decimal.

How do you write fractions as a terminating decimals?

How do you write fractions as repeating decimals?

Example: A. 5 ÷ 12 = 0.4166...

How do you compare fractions and decimals?

Change each fraction to its decimal equivalent

Integers

the set of positive whole numbers and their opposites(negative numbers) and 0

Irrational Numbers

any number that cannot be expressed as a fraction.

Terminating decimals - decimals that end or stop

Rational Numbers can be written as what two types of decimals?

Whole Numbers

Zero and the counting numbers 1, 2, 3, 4, 5, 6, and so on. If a number has a negative sign, a decimal point, or a part that's a fraction, it is NOT a whole number.

Natural numbers

A group of numbers that include 1,2, 3,.....

False. Perfect squares ARE rational numbers!

True or false. Perfect squares are not rational numbers.

True. The larger a negative number is seems to be, the smaller it actually is.

True or false. The larger a negative number is seems to be, the smaller it actually is.