# Express Review Guide: Basic Math and Pre-Algebra by LearningExpress Editors

By LearningExpress Editors

Show evaluation courses: simple math and Pre-Algebra is helping scholars gather useful talents with speedy, particular classes. All key issues are coated. Readers will reap the benefits of math advice, options for heading off universal pitfalls, sidebars of math definitions, and a close word list. furthermore, pre and posttests aid scholars gauge either their susceptible parts in addition to their growth.

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Additional info for Express Review Guide: Basic Math and Pre-Algebra

Sample text

How many times does 37 go into 226? You need to do this by trial and error. You finally come up with 6, because 6 ϫ 37 = 222. FUEL FOR THOUGHT The dividend is the number being divided; the divisor is the number that divides the dividend. The quotient is the result. In the division problem 12 ÷ 4, 12 is the dividend and 4 is the divisor. The quotient is 3. In the division problem 13 ÷ 4, 3 is the quotient and there is a remainder of 1. Numbers, Numbers Everywhere! 16 37ͤ59 ෆ6 ෆ –___ 37 226 – 222 _____ When you subtract 222 from 226, you are left with 4, which is the remainder.

If the denominators are the same, we subtract the numerators. Example 5 2 ᎏᎏ – ᎏᎏ = 8 8 The denominators are the same, so do the subtraction: 5 – 2 = 3. The 3 answer is ᎏ8ᎏ. If the denominators are different, you augment the fractions, just like when you add fractions, so that they both have the same denominator. Then, subtract the numerators. Example 5 1 ᎏᎏ – ᎏᎏ = 8 4 1 1 2 5 1 5 2 3 Augment the ᎏ4ᎏ: ᎏ4ᎏ = ᎏ8ᎏ. Your problem is now ᎏ8ᎏ – ᎏ4ᎏ = ᎏ8ᎏ – ᎏ8ᎏ = ᎏ8ᎏ. PRACTICE LAP DIRECTIONS: Use scratch paper to solve the following problems.

2. M. M. on the following Tuesday? WORKING WITH FRACTIONS What is it that doesn’t get smaller when you reduce it? A fraction! There are two operations you can do to change the look and feel of a fraction without 6 3 changing its value: You can reduce it (as in converting ᎏ8ᎏ to ᎏ4ᎏ) or you can aug3 6 ment it (as in converting ᎏ4ᎏ to ᎏ8ᎏ). Reducing a Fraction 6 3 When you reduce ᎏ8ᎏ to ᎏ4ᎏ, you don’t change the value of the fraction. How is it possible to change the fraction without changing its value?