# Math Review For Standardized Tests (1st edition) by Jerry Bobrow Ph.D.

By Jerry Bobrow Ph.D.

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All rules for signed numbers als o apply to fractions . Negative Fractions • Fractions may be negative as well as positive . (See number line on p . ) However, negative fractions are typically writte n 3 4 not -3 or 4 3 (although they are all equal ) -4 3 3 -3 4 4 -4 Proper Fractions and Improper Fraction s • A fraction like 3/5 , where the numerator is smaller than th e denominator, is less than one . This kind of fraction is called a proper fraction . But sometimes a fraction may be more than one .

5. Is 2,853 divisible by 9? Total of digits = 18 . Since 18 is divisible b y 9, then 2,853 is divisible by 9 . Practice: Divisibility Problems 1. 4,620 is divisible by which of the following numbers ? 2, 3, 4, 5, 6, 7, 8, 9 2. 13,131 is divisible by which of the following numbers ? 2,3,4,5,6,7,8,9 ARITHMETIC 27 Answers: Divisibility Problem s 1 . 2, 3, 4, 5, 6, 7 2 —the number is even 3 —the digits total 12, which is divisible by 3 4 —the number formed by the last two digits, 20, is divisible by 4 5 —the number ends in 0 6 —the number is divisible by 2 and 3 7—divide 4,620 by 7 and you get 66 0 the number formed by the last three digits, 620, is not divisibl e by 8 the total of the digits is 12, which is not divisible by 9 2.

4. Is 2,488 divisible by 8? Since 488 is divisible by 8, then 2,488 i s divisible by 8 . 5. Is 2,853 divisible by 9? Total of digits = 18 . Since 18 is divisible b y 9, then 2,853 is divisible by 9 . Practice: Divisibility Problems 1. 4,620 is divisible by which of the following numbers ? 2, 3, 4, 5, 6, 7, 8, 9 2. 13,131 is divisible by which of the following numbers ? 2,3,4,5,6,7,8,9 ARITHMETIC 27 Answers: Divisibility Problem s 1 . 2, 3, 4, 5, 6, 7 2 —the number is even 3 —the digits total 12, which is divisible by 3 4 —the number formed by the last two digits, 20, is divisible by 4 5 —the number ends in 0 6 —the number is divisible by 2 and 3 7—divide 4,620 by 7 and you get 66 0 the number formed by the last three digits, 620, is not divisibl e by 8 the total of the digits is 12, which is not divisible by 9 2.