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5 minute check 6a

1-3 Multiplying and Dividing Integers

Video Tutor Help Multiplying integersMultiplying integers (1-3a and 1-3) Dividing integersDividing integers (1-3a and 1-3) Dividing integers to solve problemsDividing integers to solve problems (1-3) Multiplying Integers Dividing Integers Multiply integers Khan Academy

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 1-3 Practice 1-3 Guided Problem Solving 1-3

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 1-3

Lesson Readiness Lesson Quiz Problem of the Day Lesson 1-3

Multiplying integers with different signs The product of two integers with different signs is negative. 2(-5) = -5(2) = -10

Multiply integers with the same sign The product of two integers with the same sign is positive. 2(5) = -2(-5) = 10

Teaching Tip When multiplying more than two integers, you may find it helpful to decide on the sign of the product before multiplying. If the number of negatives is even the product is positive. If the number of negatives is odd the product is negative.

Find. Example 4-1a Answer: –96 The factors have different signs. The product is negative. Multiply Integers with Different Signs

Find. Example 4-1b Answer: –99 The factors have different signs. The product is negative. Multiply Integers with Different Signs

Find. Example 4-2a Answer: 64 The two factors have the same sign. The product is positive. Multiply Integers with the Same Sign

Example 6-1a Find Answer: –32 The factors have different signs. The product is negative. Multiply Integers with Different Signs

Example 6-2a Find Answer: –35 The factors have different signs. The product is negative. Multiply Integers with Different Signs

Example 6-3a Find Answer: 144 The factors have the same sign. The product is positive. Multiply Integers with the Same Sign

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Find each product. Multiplying and Dividing Integers LESSON 1-3 a. 3(7)= 21Factors have the same sign, positive product. b. 3(–7)= –21Factors have different signs, negative product. c. –3(7)= –21Factors have different signs, negative product. d. –3(–7) = 21Factors have the same sign, positive product. Additional Examples

Reading Math In a division sentence like 12 ÷ 3 = 4, the number you are dividing, 12, is called the dividend. The number you are dividing by, 3, is called the divisor. The result (answer) is called the quotient.

Divide Integers The quotient of two integers with different signs is negative. The quotient of two integers with the same sign is positive. 16 ÷ (-8) = -16 ÷ (-8) = -22

Find. Example 5-1a Answer: 7 The dividend and the divisor have the same sign. The quotient is positive. Divide Integers with the Same Sign

Example 5-1b Answer: 12 The dividend and the divisor have the same sign. The quotient is positive. Find. Divide Integers with the Same Sign

Example 5-2a Answer: –18 The signs are different. The quotient is negative. Find. Divide Integers with Different Signs

Example 5-2b Answer: –7 The signs are different. The quotient is negative. Simplify. Find. Divide Integers with Different Signs

You are riding your bicycle at a speed of 12 ft/s. Four seconds later, you come to a complete stop. Find the acceleration of your bicycle by using the formula: Multiplying and Dividing Integers LESSON 1-3 acceleration = final velocity – initial velocity time The bicycle’s acceleration is –3 ft/s per second. Simplify. The negative sign means the bicycle is slowing. = –12 4 = –3 Substitute 0 for final velocity, 12 for initial velocity, and 4 for time. 0 – 12 4 = Additional Examples