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By Denise Szecesi

Homework Helpers: simple math and Pre-Algebra is an easy and easy-to-read overview of mathematics talents. It comprises themes which are meant to aid arrange scholars to effectively examine algebra, together with:

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564 4. 1,357 This page intentionally left blank 1 2 3 4 5 6 7 8 9 10 11 12 Operations With Fractions Real numbers belong to one of two camps. A real number can either be written as a ratio of two integers, or it can’t. A number that can be written as a ratio of two integers is called a rational number. A number that cannot be written as a ratio of two integers is called an irrational number. In this chapter we will focus on rational numbers. Irrational numbers will be discussed briefly in Chapter 4.

Example 3 Convert to an improper fraction. Solution: The numerator of the improper fraction will be 4 × 3 + 2 = 14, and the denominator of the improper fraction will be 3. The improper fraction is: You can always check your answer by doing the division again. If you are able to convert your improper fraction into the original mixed number, you should have confidence in your answer. Example 4 Convert to an improper fraction. Solution: The numerator of the improper fraction will be 5 × 11 + 6 = 61, and the denominator of the improper fraction will be 11.

These steps will walk you through finding the product of two integers: 1. Find the product of their magnitudes, or absolute values. 2. Determine whether the product should be positive or negative. ` If the signs of the two integers involved in the product are the same, your answer will be a positive integer. ` If the signs of the two integers involved in the product are different, your answer will be a negative integer. Example 1 Find the product: (−5)(−4) Solution: Because the signs of the two integers being multiplied are both negative, the answer will be positive: (−5)(−4) = 20 Integers 43 Example 2 Find the product: (−6)(5) Solution: Because the signs of the two integers being multiplied are not the same, the answer will be negative: (−6)(5) = −30 To find the product of three integers, use the fact that multiplication is associative and break the problem up into finding two products.

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