copyright © 2010 pearson education, inc. all rights reserved sec 1.7 - 1 chapter 1 introduction to...

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Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 1.7 - 1 Chapter 1 Introduction to Algebra: Integers 1.7 Dividing Integers

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Page 1: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 1.7 - 1 Chapter 1 Introduction to Algebra: Integers 1.7Dividing Integers

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 1.7 - 1

Chapter 1Introduction to Algebra:

Integers

1.7 Dividing Integers

Page 2: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 1.7 - 1 Chapter 1 Introduction to Algebra: Integers 1.7Dividing Integers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 1.7 - 2

Objective 1: Divide integers.

The answer to a division problem is called the quotient.

Page 3: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 1.7 - 1 Chapter 1 Introduction to Algebra: Integers 1.7Dividing Integers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 1.7 - 3

Objective 1: Divide integers.

Page 4: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 1.7 - 1 Chapter 1 Introduction to Algebra: Integers 1.7Dividing Integers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 1.7 - 4

Objective 1: Divide integers.

Divide the integers.

(a)

(b)

Example

Different signs,quotient is negative. 4

5

20

5

20

4

24

Same sign,quotient is positive. 6

4

24

Page 5: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 1.7 - 1 Chapter 1 Introduction to Algebra: Integers 1.7Dividing Integers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 1.7 - 5

Objective 3: Combine multiplying and dividing of integers.

Simplify.

6(–10) ÷ (–3 • 2)

Example

Do operations inside parentheses first.Start at the left and perform operations from left to right.

Page 6: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 1.7 - 1 Chapter 1 Introduction to Algebra: Integers 1.7Dividing Integers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 1.7 - 6

Objective 3: Combine multiplying and dividing of integers.

Simplify.

–24 ÷ –2(4) ÷ –6

Example

No operations inside parentheses. Start at the left and perform operations from left to right.

Page 7: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 1.7 - 1 Chapter 1 Introduction to Algebra: Integers 1.7Dividing Integers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 1.7 - 7

Objective 5: Interpret remainders in division application problems.

The math department a a college has $360 in its budget to buy calculators. If the calculators cost $25 each, how many can be purchased? How much money will be left over?

Example

Page 8: Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 1.7 - 1 Chapter 1 Introduction to Algebra: Integers 1.7Dividing Integers

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 1.7 - 8

Objective 5: Interpret remainders in division application problems.

Luke needs to rent tents for 135 Scouts going on a camping trip. Each tent sleeps 6 people. How many tents should he rent?

Example

Luke will need to rent 23 tents.