Example 1 Multiplying Fractions a. 5 2 – 3 2 – Use rule for multiplying fractions. = 2 – () 2 – 5 3 Use rule for multiplying fractions. = 10 6 3 – 5 Evaluate.

Slides:

Advertisements

Similar presentations

EXAMPLE 3 Standardized Test Practice SOLUTION 8x 3 y 2x y 2 7x4y37x4y3 4y4y 56x 7 y 4 8xy 3 = Multiply numerators and denominators. 8 7 x x 6 y 3 y 8 x.

Advertisements

EXAMPLE 1 Writing Equivalent Fractions. EXAMPLE 1 Writing Equivalent Fractions Write two fractions that are equivalent to. Writing Equivalent Fractions.

Multiply complex numbers

The Identity and Inverse Properties

Tell which property is being illustrated.

1)Be able to apply the quotient of powers property. 2)Be able to apply the power of a quotient property. 3)Be able to apply the multiplication properties.

EXAMPLE 3 Using the Associative Property = = Associative property of addition Add fractions. Write as one. 5 5 Add. 4=

EXAMPLE 2 Identifying Equivalent Fractions

Simplifying Fractions 3-5. Lesson 1 – Equivalent Fractions I can use multiples to write equivalent fractions. I can use factors to write equivalent fractions.

Operations: Add, Subtract, Multiply, Divide

Multiplying Fractions  Step 1:  Look for common terms that can cancel  Step 2:  Look at cancelling signs (if possible)  Step 3:  Multiply the numerator.

Example 3 Dividing Mixed Numbers ÷ – 3 19 = 17 6 – Multiply by the reciprocal of 17 6 – 6 – = 3 () 6 – 19 Use rule for multiplying fractions.

EXAMPLE 2 Rationalize denominators of fractions Simplify

Chapter 6 Section 4 Addition and Subtraction of Rational Expressions.

 Multiply rational expressions.  Use the same properties to multiply and divide rational expressions as you would with numerical fractions.

Simplifying Fractions

Dividing of Fractions.

EXAMPLE 6 Solve a multi-step problem A = 13, x 1 – 0.015x and T = x 1 – 0.016x The amount A (in millions of dollars) spent on all advertising.

Find the sum or difference. Then simplify if possible.

By: Ruthie Covington. Directions First you find two fractions. If you have a mixed number, then you multiply the whole number by the denominator.

a. The LCM of 4 and 5 is 20, so the LCD is 20.

Algebraic Fractions  Know your rules  Anything raised to the 0 power = 1  Negative exponents can be moved to the opposite and made positive (that is,

MULTIPLYING RATIONAL NUMBERS IF THE SIGNS ARE THE SAME, MULTIPLY THEIR ABSOLUTE VALUES AND THE ANSWER IS POSITIVE. (+4)(+5) = (-4)(-5) = (3)(6) = (-10)(-4)

Notes Over 2.8 Rules for Dividing Negative Numbers. ( Same as Multiplying ) If there is an even number of negative numbers, then the answer is Positive.

Operations with Fractions. Parts of a Fractions  Numerator Denominator.

6.2 Multiplying and Dividing Rational Expressions.

8 4 Multiply & Divide Rational Expressions

Multiplying Fractions. When we multiply a fraction by an integer we: multiply by the numerator and divide by the denominator For example, × = 54.

EXAMPLE 4 Multiplying Numbers in Scientific Notation Find the product ( ) ( ). = ( ) ( ) = =

EXAMPLE 5 Simplify a rational model 46 – 2.2x C = 100 – 18x + 2.2x 2 where x is the number of years since Rewrite the model so that it has only whole.

Do Now Pass out calculators. Have your homework out ready to check.

5 Minute Check. Essential Question.

Ch 2.5 Objective: To multiply integers.. Properties Commutative Property: a * b = b * a Two numbers can be multiplied in either order and the result is.

Distributive Commutative Addition Zero Property Additive Inverse 0 Multiplicative Identity Commutative Multiplication Multiplicative Inverse Additive Identity.

EXAMPLE 1 Find multiplicative inverses of numbers a. The multiplicative inverse of 1 5 – is – 5 because b. The multiplicative inverse of 6 7 – is 7 6 –

Which list of numbers is ordered from least to greatest? 10 –3, , 1, 10, , 1, 10, 10 2, 10 – , 10 –3, 1, 10, , 10 –3,

5-6 Dividing Fractions and Mixed Numbers Learn to divide fractions and mixed numbers.

Example 4 Using Multiplication Properties SOLUTION Identity property of multiplication () 16 a. 6 = Find the product. () 16 a.b. 15– () 0 Multiplication.

Chapter 1 Section 1.3 Properties of and Operations with Real Numbers.

Bell Quiz. Objectives Multiply and Divide signed numbers. Discuss the properties of real numbers that apply specifically to multiplication. Explain the.

3.9 Mult/Divide Rational Expressions Example 1 Multiply rational expressions involving polynomials Find the product. Multiply numerators and denominators.

Chapter 1 Review. Examples: Write the numeric expression 1.) Eight more than a number n 2.) The difference of six and a number 3.) The product of three.

In this lesson you are going to learn how to divide fractions by multiplying by the reciprocal.

Properties of Real Numbers

Math 1B Exponent Rules.

Commutative Property of Addition

Properties of Addition and Multiplication

Real Numbers and Their Properties

Multiplying Fractions and Mixed Numbers

EXAMPLE 2 Rationalize denominators of fractions Simplify

Apply Exponent Properties Involving Quotients

Chapter 5-4 Multiplying Rational Numbers

Division Properties Of Exponents.

Warm-Up # (–25) = ? – 4 3 = ? ANSWER –7 2 3 ANSWER

Change each Mixed Number to an Improper Fraction.

In this tutorial you will be able to follow along step by step on how to solve basic operations involving fractions.

Multiplying and Dividing Rational Expressions

Mult/Divide Rational Expressions

Write out factors in expanded form.

Commutative Property Associative Property A. Addition

1.3 Properties of Real Numbers

Which fraction is the same as ?

Module 4: MULTIPLYING and DIVIDING FRACTIONS

Division Properties Of Exponents.

Commutative Property Associative Property A. Addition

Division Properties Of Exponents.

Multiply whole number with rational number

Presentation transcript:

Example 1 Multiplying Fractions a. 5 2 – 3 2 – Use rule for multiplying fractions. = 2 – () 2 – 5 3 Use rule for multiplying fractions. = – 5 Evaluate numerator and denominator. = 15 4 = 3 – – Divide out common factors. b – 6 5

Example 1 Multiplying Fractions = 4 1 – Multiply.

Example 2 Multiple Choice Practice What is the value of ? SOLUTION Commutative property of multiplication = Inverse property of multiplication 8 1 = 1

Example 2 Identity property of multiplication 8 1 = Multiple Choice Practice ANSWER The correct answer is B.

Guided Practice Find the product. Simplify if possible. for Examples 1 and – ANSWER 8 3 – ANSWER – 9 7 – 2.