1. Rational Numbers and Opposites Enter the fraction,, as a quotient, and choose to have your answer displayed as a fraction by selecting ► FRAC, option 1, under the MATH menu. The negative symbol is. (-)ENTER21MATH  3 Enter the mixed number, 2 as a sum of a whole number, 2, and the fraction, Choose to have the answer displayed as a fraction. Figure 1.1 2+3  4MATH1ENTER For Figure 1.1, Technology 1.1 1 of 2 (-)

2. Rational Numbers and Opposites Enter the negative mixed number as the opposite of a sum of the whole number, 3, and the fraction, Use as an opposite sign. Choose to have the answer displayed as a fraction. (-)(3+1  4)MATH1ENTER Note that the mixed-number answers are displayed as improper fractions. Directions for changing an improper fraction to a mixed number are given in Section 1.2, “Calculator Exercises.” Technology 1.1 2 of 2 Figure 1.1 (-)

3. Absolute Value To enter an absolute-value expression on your calculator, use the abs function found under the MATH NUM menu option 1. Close the set of parentheses that are opened for you to enclose each of the numbers, 3.5 and, in each set of parentheses. MATH1)5.3ENTER► MATH►11(-)  2)MATH1ENTER Figure 1.2 For Figure 1.2, Technology 1.2

4. Adding Rational Numbers Enter the fractions, and in parentheses for proper grouping and ease in reading. Choose to have the answer displayed as a fraction. This option, FRAC, is located under the MATH menu option 1. ► 1 )3(-)+)2  1((2  MATHENTER Figure 1.4 For Figure 1.4, Technology 1.4 1 of 2 c. d.

5. Adding Rational Numbers Figure 1.4 Mixed numbers are written as the sum of the whole number and the fraction. Negative mixed numbers have the negative sign outside the parentheses. Choose to have the answer displayed as a fraction by using option 1 under MATH menu. (-)(1+2  3)+(2+3  5)MATH1ENTER Technology 1.4 2 of 2 c. d.

6. Subtracting Rational Numbers Negative integers and decimals may be entered without parentheses. Note the difference in the negative,, and the minus,. 8369.(-)-. Figure 1.5 ENTER For Figure 1.5, Technology 1.5 (-)- 1 of 2 a. d.

7. Subtracting Rational Numbers Figure 1.5 Technology 1.5 Negative numbers have the negative signs outside the parentheses. Choose to have the answer displayed as a fraction. This option, ► FRAC, is located under the MATH menu option 1. 1+1(-1(-))4  ( ENTERMATH  1 )2 2 of 2 Enter the fraction,, in parentheses for proper grouping and ease in reading. a. d.

8. Multiplying Rational Numbers Figure 1.7 For Figure 1.7, There is no need to place decimal numbers in parentheses. You may use the multiplication sign instead. (-) 46984..ENTER  Place the negative mixed number as a sum in parentheses with the negative outside the grouping. Choose to have your answer displayed as a fraction. This option, ► FRAC, is located under the MATH menu option 1.  ( ) )( MATH (-) 1 532321+  + ENTER Technology 1.7 a. d.

9. Dividing Rational Numbers Figure 1.8bFigure 1.8a d. c. d. For Figure 1.8a and 1.8b, There is no need to enter the whole number 0 in the decimal -0.34.   (-).. ENTER 980 043 Since it is not possible to divide by 0, an error is displayed on the screen when you enter the expression. Press to quit the error screen and return to the default home screen. Technology 1.8

10. Integer Exponents Figure 1.9a To enter an exponent, use the key. For Figure 1.9a, There is a special key,, that may be used to square a number. To square a number, enter the base followed by. )( )( 232 132   ENTER MATH x2x2 ^1 Technology 1.9 or 1 of 3 a. ^ x2x2 x2x2

11. Integer Exponents Figure 1.9b For Figure 1.9b, There is a special function under the MATH menu option 3 that may be used to cube a number. 351 351 ENTER MATH ^.. Technology 1.9 or 2 of 3 b.

12. Integer Exponents Figure 1.9c Enter the mixed number 9, as the sum of 9 and enclosed in parentheses. Use the for inserting the exponent. For Figure 1.9c, )(15319^ ENTER MATH +   Since the result is not a fraction, enter the fraction answer that we are checking, and compare the decimal values. 34286301271 Technology 1.9 3 of 3 d. ^

13. Square Roots Figure 1.10a To enter a square root, enter. Close the parentheses that are opened for you in order to enclose the number in a set of parentheses. For Figure 1.10a and Figure 1.10b, 2nd 52 194  ) ) MATH ENTER 2nd(-) Technology 1.10 1 of 2 c. d. e.

14. Square Roots Figure 1.10b 52) ENTER Since the square root of a negative number is not defined as a real number, if your calculator is in Real mode (the default mode), an error will be displayed when you enter the expression. 2nd(-) Technology 1.10 2 of 2 e. Press to quit the error screen and return to the default home screen. ENTER

15. Cube Roots Figure 1.11 The cube root is located under the MATH menu option 4. Remember to close the set of parentheses that is opened for you. For Figure 1.11, 7 1 0 MATH (-) 7214 34 24 ) ) )  ENTER MATH Technology 1.11 b. a. c.

16. Order of Operations c. d. e. Figure 1.13 For Figure 1.13, It is necessary to enter both the numerator and the denominator in a set of parentheses to ensure proper grouping. (() )2 33261-  + + ENTER x2x2 Technology 1.13 1 of 2

17. Order of Operations c. d. e. Figure 1.13 ) ))((( ( 1512 538 74322--+ + + +2ndENTER Use a set of parentheses instead of brackets and braces. (-)) Enclose the radicand in a set of parentheses. (-))6 Technology 1.13 2 of 2