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

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


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      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.

math

      11 4. Use the commutative property to reverse the order of the last two numbers.

math

      12 7. math is equal to 6.875. Because the 8 is greater than 5, you round up to the next-larger integer.

      13 14. First, do the subtraction in the parentheses. Then subtract that result from 4. Finally, multiply by 2.

math

      14 3. The multiplicative inverse of math is 3. Multiply both terms by this number:

math

      Coordinating Fractions and Decimals

      IN THIS CHAPTER

      Bullet Simplifying and changing fractions

      Bullet Making proportions work for you

      Bullet Operating on fractions and decimals

      Bullet Linking fractions and decimals

      At one time or another, most math students wish that the world were made up of whole numbers only. But those non-whole numbers called fractions really make the world a wonderful place. (Well, that may be stretching it a bit.) In any case, fractions are here to stay, and this chapter helps you delve into them in all their wondrous workings. Compare developing an appreciation for fractions with watching or playing a sport: If you want to enjoy and appreciate a game, you have to understand the rules. You know that this is true if you watch soccer games. That offside rule is hard to understand at first. But, finally, you figure it out, discover the basics of the game, and love the sport. This chapter gets down to basics with the rules involving fractions so you can “play the game.”

      You may not think that decimals belong in a chapter on fractions, but there’s no better place for them. Decimals are just a shorthand notation for the most favorite fractions. Think about the words that are often used and abbreviated, such as Mister (Mr.), Doctor (Dr.), Tuesday (Tue.), October (Oct.), and so on! Decimals are just fractions with denominators of 10, 100, 1,000, and so on, and they’re abbreviated with periods, or decimal points.

math

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