Mary Jane Sterling - Algebra I All-in-One For Dummies

29 Use –6.The additive inverse of 6 is –6. If you add –6 to the expression, you have . Use the associative property to group the 6 and –6 together: . The sum of a number and its additive inverse is 0, so the expression becomes 0 – 3 x . Because 0 is the additive identity, .

30 Use .The multiplicative inverse of –7 is . If you multiply the expression by , you have . Use the commutative property to rearrange the factors and the associative property to group the –7 and together: . The product of a number and its multiplicative inverse is 1, so the expression becomes 1 x . Because 1 is the multiplicative identity, .

31 Use 4.The expression can be written as . The multiplicative inverse of is 4. If you multiply the expression by 4, you have

An added bonus here is that the constant also becomes an integer.

32 6.

33 6. By definition, the value of 0! is 1.

34 639,200.

35 147.The 9, which will be dropped with the 5 following it, is greater than 5. Round the 6 in the ones place to a 7.

36 146.The greatest integer smaller than 146.95 is 146.

If you’re ready to test your skills a bit more, take the following chapter quiz that incorporates all the chapter topics.

Quiz time! Complete each problem to test your knowledge on the various topics covered in this chapter. You can then find the solutions and explanations in the next section.

1

2 Which is larger: 5.932 rounded to the nearest integer or ?

3

4 Distribute:

5

6 What should you add to the expression to get the variable term alone?

7

8 Distribute:

9 Apply the greatest integer function:

10

11

12 Round to the nearest integer:

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14 What should you multiply the expression by to get rid of the fraction?

1 – 11.Work on the braces first. Do the subtraction in the parentheses and add the result to 3. Multiply that sum by 3 and subtract the product from 6. In the last parentheses, find the difference. Then add the result from the braces to this last number.

2 5.932.5.932 rounds up to 6, and .