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

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

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

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      Then I group, reduce, multiply, and find the product of the three “nice” numbers!

math

      22 –11 and math. The sum of 11 and –11 is 0; the product of 11 and math is 1.

      23 mathand –3. The sum of math and math is 0; the product of math and –3 is 1.

      24 math and math. The sum of math and math is 0; the product of math and math is 1.

      25 1 and –1. The sum of –1 and 1 is 0; the product of –1 and –1 is 1. The number is its own multiplicative inverse.

math

      You’ll see more on working with fractions in Chapter 4.

      27 math and math. The additive inverse is just the positive version of the same number. To write the multiplicative inverse, you change the mixed number to an improper fraction and just flip it:

math

      There’s a full coverage of fractions in Chapter 4.

      28 Use 8. The additive inverse of –8 is 8. If you add 8 to the expression, you have math. Use the associative property to group the –8 and 8 together: math. The sum of a number and its additive inverse is 0, so the expression becomes math. Because 0 is the additive identity, math.

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

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

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

math

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

      32 6. math

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

      34 639,200. math

      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 math

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

      3 math

      4 Distribute:

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