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

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alt="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: math

      5 math

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

      7 math

      8 Distribute: math

      9 Apply the greatest integer function: math

      10 math

      11 math

      12 Round to the nearest integer: math

      13 math

      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.

math

      2 5.932. 5.932 rounds up to 6, and math.

      3 6,642. math

      4 math. Multiply each term in the parentheses by math.

math

      5 2. Use the commutative property to reverse the order of the middle two factors.

math

      You will find more on operations involving fractions in Chapter 4.

      6 5. The additive inverse of –5 is 5. math

      7 840. math

      8 math. Multiply each term in the parentheses by 5.

math

      9 6. The largest integer that is not bigger than math is 6.

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