Operations with Rational Numbers Any number that can be written in the form, where m and n are integers and n 0, is called a rational number In other.

Slides:



Advertisements
Similar presentations
Multiplying and Dividing Rational Numbers
Advertisements

Operations on Rational Expressions Review
Complex Rational Expressions
Adding and Subtracting Rational Expressions:
Multiplying and Dividing Rational Numbers
6-3: Complex Rational Expressions complex rational expression (fraction) – contains a fraction in its numerator, denominator, or both.
Fractions.  The Numerator is the number on top  The Denominator is the number on bottom  The Factors of a number are those numbers that will divide.
Complex Fractions and Unit Rate. Fractions like Complex fractions are called complex fractions. Complex fractions are fractions with a numerator, denominator,
Rational Numbers and Decimals
DIVIDING RATIONAL NUMBERS
Prime Factorization.
Multiplying & Dividing Rational Expressions. Simplified form of a rational expression - Means the numerator and denominator have NO common factors. To.
Natural Numbers: 1, 2, 3, 4,… Whole Numbers: 0, 1, 2, 3, 4,… Integers: …, -2, -1, 0, 1, 2, … Rational Numbers: …
Dividing Rational Numbers. The term Rational Numbers refers to any number that can be written as a fraction. This includes fractions that are simplified,
Rational numbers. Whole numbers Whole numbers Rational numbers Whole numbers Natural numbers Integers / ¾ 18% A rational number.
Notes Over 9.4 Simplifying a Rational Expression Simplify the expression if possible. Rational Expression A fraction whose numerator and denominator are.
 Multiply rational expressions.  Use the same properties to multiply and divide rational expressions as you would with numerical fractions.
Adding & Subtracting Whole Number and Fractions
Warm up # (-24) =4.) 2.5(-26) = 2-7(-8)(-3) = 5.) -5(9)(-2) = 3.
MULTIPLY and DIVIDE RATIONAL NUMBERS. MULTPILYING MIXED NUMBERS 1)Change all Mixed numbers to improper fractions 2)Simplify A) Up and Down B) Diagonally.
4. Check that the answer is reduced: The numerator and denominator should not have any common factors besides 1. When the GCF of the numerator and denominator.
Fraction Division Opposite of Multiplication. The opposite number: Invert Called the reciprocal You simply flipped your fraction.
Dividing fractions 4/5 ÷ 7/8 = ?. When you are dividing fractions, invert the divisor. In other words, flip the right fraction. 4/5 ÷ 7/8 8/7= ?
Integrated Mathematics Real Numbers. Rational Numbers Examples of Rational Numbers.
Conversion of Fractions - Mixed Number to Improper Fraction
How to multiply a whole number by a fraction.
Multiplying Fractions. Fraction with a Fraction 1. Multiply numerators 2. multiply denominators 3. reduce.
Multiplying and Dividing Rational Numbers. The term Rational Numbers refers to any number that can be written as a fraction. This includes fractions that.
Unit 4 Day 4. Parts of a Fraction Multiplying Fractions Steps: 1: Simplify first (if possible) 2: Then multiply numerators, and multiply denominators.
Multiplying Fractions. When we multiply a fraction by an integer we: multiply by the numerator and divide by the denominator For example, × = 54.
Math – Fractions, Mixed Numbers, and Rational Expressions 1.
Simplify, Multiply & Divide Rational Expressions.
 Anything to the power of zero is one  4 0 =1  X 0 =1  =?
Part of a set or part of a whole. 3 4 =Numerator the number of parts = Denominator the number that equals the whole.
+ January 4 th Mixed Numbers Mixed Number- is a whole number and a proper fraction combined.
Operations with Fractions
Bell Ringer #2 Name the integer suggested 1.In foreign trade, the U.S. had an excess of $3 million Write the following from least to greatest 2. 13, -12,
+ Fractions. + Part of a whole + + Numerator How many pieces The number on the top of a fraction.
Rational Numbers Essential Question: What do we need to do before we can add or subtract fractions? Unit 2 Day 4.
Rational Numbers Essential Question: What do we need to do before we can add or subtract fractions? Unit 2 day 8.
Objectives Add and subtract rational expressions.
Section 2-7, “Comparing and Ordering Rational and Irrational Numbers”
Multiplying and Dividing Rational Expressions
Do Now: Multiply the expression. Simplify the result.
3-4 Multiplying and 3-5Dividing Rational Numbers
Multiplying and Dividing Fractions
Multiplying and Dividing Rational Expressions
Dividing Positive and Negative Fractions
Multiplying and Dividing Rational Numbers
Multiplying and Dividing Rational Numbers
Rational Numbers TeacherTwins©2014.
Complex Fractions and Unit Rate
In this tutorial you will be able to follow along step by step on how to solve basic operations involving fractions.
Complex Fractions and Unit Rate
Simplify Complex Rational Expressions
Multiplying and Dividing Rational Numbers
Simplifying Complex Rational Expressions
Complex Fractions and Review of Order of Operations
Section 1.3 Fractions.
Comparing and Ordering Rational Numbers Guided Notes
Adding and Subtracting Rational Numbers
Dividing Fractions and Mixed Numbers
Review 3.2 Write as a fraction /3 Write decimal as a fraction or mixed fraction Identify as whole, integer, or rational -6 2/3 8 1/5 Simplify.
Which fraction is the same as ?
Dividing Decimals Whole Number Divided by a Decimal 1 ÷ 0.2 = ?
Divide Remainder forms a fraction Step 1: Step 1: Step 2:
Multiplying and Dividing Rational Numbers
Multiplying and Dividing Rational Numbers
10.3 Dividing Rational Expressions
Presentation transcript:

Operations with Rational Numbers

Any number that can be written in the form, where m and n are integers and n 0, is called a rational number In other words, fractions….

Fractions are used when we need to identify part of a whole.

To combine Rational Numbers, you must have a … COMMON DENOMINATOR

The LCD is the smallest number that all the denominators divide into evenly. 2 and 3 Think of the LCD for the following pairs of numbers LCD = 6 3 and 4LCD = 12 2 and 7LCD = 14 3 and 6LCD = 6

For example: = X X 3 = 7 12

For example: = X X 3 = 13 15

For example: = X X 2 = 1 10

For example: = X X 4 = 23 20

Multiplying and Dividing Rational Numbers

To multiply Rational Numbers, multiply corresponding numerators and denominators For example: = 12 35

= = 2 9

For division: Flip the second RN and Multiply =? = 14

= = 35 8

See Sheets