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

25 –3.

Or you may prefer to add the two numbers with the same sign first, like this:

26 –6. You can do this because order and grouping (association) don’t matter in addition.

You see more on the associative property in Chapter 3.

27 7. Change the –2 to +2 and the subtraction to addition. The signs are the same now, so find the sum.

28 2. Change the –8 to +8 and the subtraction to addition. The signs are different now, so find the difference.

29 –83. Change the +87 to –87 and the subtraction to addition. Yes, it looks like the 87 is negative, but that is the operation of subtraction, not the sign of the number.

30 15.Change the –15 to +15 and the subtraction to addition.

31 9.2.Change the –6.8 to +6.8 and the subtraction to addition.

32 –4.Change the –11 to +11 and the subtraction to addition.

33 –18.The multiplication problem has one negative, and 1 is an odd number.

34 –14.The multiplication problem has one negative, and 1 is an odd number.

35 18.The multiplication problem has two negatives, and 2 is an even number.

36 144.The multiplication problem has two negatives.

37 –2.The multiplication problem has five negatives.

38 60.The multiplication problem has two negatives.

39 2.The division problem has two negatives.

40 –8.The division problem has one negative.

41 –6.Three negatives result in a negative.

42 30.The division problem has two negatives.

43 –4.The division problem has five negatives.

44 –1.The division problem has one negative.

45 4.Adding 0 to a number doesn’t change the number.

46 –4.Change the problem to and add.

47 0.Multiplying by 0 always gives you 0 as a result.

48 0.Dividing 0 by a nonzero number always gives you 0.

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 Use the inequality symbols to write the statement: “14 is greater than or equal to 12.9.”

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7

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9 Put the numbers in order from smallest to largest:

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11

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13 Which number is larger, or ?

14 (And, yes, that’s the greatest integer function.)

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16

1 0.Yes, there are four negative signs, but 0 has no sign.

2 .The point of the inequality always faces the smaller of the two numbers.

3 .The number is to the left of , so it is smaller. You want the largest negative integer that is smaller than the .