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

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.

Whaddya Know? Chapter 2 Quiz

      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.

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

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      9 Put the numbers in order from smallest to largest:

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      13 Which number is larger, or ?

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

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Answers to Chapter 2 Quiz

      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 .

      4 0. Any number dividing into 0 (except 0 itself) results in 0.

      5 . When the signs are the same, you find the sum: .

      6 . There is one negative sign.

      7 . When the signs are different, you find the difference: . And the sign of that difference is the sign of the number with the greater absolute value.

      8 4. Change the subtraction to addition, and change the second number to the opposite sign: .

      9 . The two negative numbers come first, with being the smaller of the two. Then comes 0, which separates the negative numbers from the positive numbers. The fraction is smaller than 1, so it’s definitely smaller than 4.

      10 11.3. This is the absolute value function. When applied, it produces positive numbers or 0.

      11 . There are three negative signs.

      12 . There are three negative signs, counting