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1-8 Dividing Rational Numbers

Video Tutor Help Dividing Fractions Dividing Decimals Divide mixed numbers Khan Academy 1-8 Dividing Rational Numbers Course 2 Division and Prime Numbers The building blocks of all natural numbers are the prime numbers. The early Greeks invented the system still used today for separating natural numbers into prime and composite numbers. 1-8 Dividing Rational Numbers Course 2 Reciprocals and Division with Fractions When working with fractions, division can be converted to multiplication by the divisor's reciprocal. This chapter explains why.

Video Tutor Help Finding absolute value Comparing and ordering integers using absolute value or a number line Adding integers using rules Subtracting integers Subtracting integers to solve problems Adding integers using a number line Multiplying integers Dividing integers to solve problems Writing a fraction as a terminating decimal Writing a fraction as a repeating decimal Ordering fractions and decimals Writing terminating decimals as fractions Ordering rational numbers

Worksheets Daily Notetaking Guide Worksheets Version A Practice, Guided Problem Solving Lesson 1-8 Practice 1-8 Guided Problem Solving 1-8

Vocabulary Practice Vocabulary 1A: Graphic Organizer Vocabulary 1B: Reading Comprehension Vocabulary 1C: Reading/Writing Math Symbols Vocabulary 1D: Visual Vocabulary Practice Vocabulary 1E: Vocabulary C Vocabulary 1F: Vocabulary Review Puzzle Vocabulary (Electronic) Flash Cards

Additional Lesson Examples Step-by-Step Examples Lesson 1-8

Lesson Readiness Lesson Quiz Problem of the Day Lesson 1-8

Property of Multiplication Two numbers whose product is 1 are multiplicative inverse, or reciprocals, of each other. For example, 4 and ¼ are multiplicative inverses because 4 * ¼ = 1.

Divide Fractions Dividing by 4 is the same as multiplying by ¼, its multiplicative inverse. This is true for any rational number. 110 ÷ 4 = 27 ½ 110 * ¼ = 27 ½ Same answer Multiplicative inverses

Teaching Tip Improper fractions are written as mixed numbers. However, in algebra, improper fractions are not changed to mixed numbers.

Teaching Tip Dividing by a whole number: When dividing by a whole number, always rename it as an improper fraction. Then multiply by its reciprocal. 2 5 ÷5= ÷

Example 4-1a Find the multiplicative inverse of. The product is 1. Answer: The multiplicative inverse or reciprocal of. Find Multiplicative Inverses

Example 4-1a Write the multiplicative inverse of Answer: Since the multiplicative inverse of Write as an improper fraction. Find a Multiplicative Inverse

Example 4-1a Find the multiplicative inverse of. Write as an improper fraction. Answer: The reciprocal of. The product is 1. Find Multiplicative Inverses

Example 4-2a Find. Write the quotient in simplest form. Multiply by the multiplicative inverse of,. Divide 5 and 10 by their GCF, 5. Answer: Simplify. Divide by a Fraction

Example 4-2a Answer: Divide 5 and 10 by their GCF, 5. Simplify. Find Write in simplest form. Multiply by the multiplicative inverse of which is 1 2 Divide Fractions

Example 4-3a Find. Write the quotient in simplest form. Write 3 as. Multiply by the multiplicative inverse of,. Answer: Multiply the numerators and multiply the denominators. Divide by a Whole Number

Example 4-3a Answer: Multiply by the multiplicative inverse of 12, which is Divide 6 and 12 by their GCF, 6. Simplify. Find Write in simplest form. Write 12 as 1 2 Divide by a Whole Number

Example 4-4a Answer: Divide 2 and 8 by their GCF, 2. The fractions have different signs, so the quotient is negative. Find Write in simplest form. Multiply by the multiplicative inverse of which is. 1 4 Divide Negative Fractions

Example 4-5a Divide 4 and 8 by their GCF, 4. Simplify. Find Write in simplest form. The multiplicative inverse of is. 2 1 Divide Mixed Numbers

Example 4-4a Find. Write the quotient in simplest form. Rename the mixed numbers as improper fractions. Multiply by the multiplicative inverse of,. Divide out common factors. Answer: Simplify. Divide by a Mixed Number