1. Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Chapter 1 Whole Numbers

2. 1-3-2 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Section 1.3 Subtracting Whole Numbers

3. 1-3-3 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Subtraction Definitions Subtraction is the mathematical process of taking away or deducting an amount from a given number. The minuend is the number from which another number is subtracted; always comes before the minus sign. The subtrahend is the number that is subtracted from a given number; always comes after the minus sign. The difference is the result of subtracting numbers. 8 – 3 = 5 minuendsubtrahend difference

4. 1-3-4 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Subtracting Whole Numbers

5. 1-3-5 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Example Subtract. a.567 – 321 b.1524 – 987

6. 1-3-6 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Solution a. Write the digits of the minuend and subtrahend in columns with the place values vertically aligned.

7. 1-3-7 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Solution a. Subtract the digits in the ones column.

8. 1-3-8 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Solution a. Subtract the digits in the tens column.

9. 1-3-9 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Solution a. Subtract the digits in the hundreds column.

10. 1-3-10 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Solution a. The difference is 246.

11. 1-3-11 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Solution a. b. To subtract in the ones column, we must borrow one ten from the tens column.

12. 1-3-12 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Solution a. b. To subtract in the tens column, we must borrow one hundred from the hundreds column.

13. 1-3-13 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Solution a. b. To subtract in the hundreds column, we must borrow one thousand from the thousands column.

14. 1-3-14 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Solution a. b. The difference is 537.

15. 1-3-15 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Applications Involving Subtraction Key words and phrases that can indicate subtraction:

16. 1-3-16 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Read and Interpret Data From a Bar Graph A bar graph is a graphical representation of quantities using horizontal or vertical bars.

17. 1-3-17 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Example Use the bar graph Army Officer Monthly Pay to answer the questions that follow.

18. 1-3-18 Copyright © 2008 Pearson Addison-Wesley. All rights reserved. Example What is the monthly pay for major general? What is the difference in monthly pay between lieutenant colonel and colonel? What is the difference in monthly pay between major general and major? $10,009 $7233 – $6329 = $904 $10,009 – $5528 = $4481