1 + 2 = 5 + 6 = 11 3 5 15 15 15 PLACE VALUE 172,823,504.269 HUNDREDS TENS ONES TENTHS HUNDREDTHS THOUSANDTHS MILLIONS THOUSANDS { { HUNDREDS TENS ONES HUNDREDS TENS ONES X 1 2 3 4 5 6 7 8 9 10 11 12 1 1 2 3 4 5 6 7 8 9 10 11 12 2 2 4 6 8 10 12 14 16 18 20 22 24 3 3 6 9 12 15 18 21 24 27 30 33 36 4 4 8 12 16 20 24 28 32 36 40 44 48 5 5 10 15 20 25 30 35 40 45 50 55 60 6 6 12 18 24 30 36 42 48 54 60 66 72 7 7 14 21 28 35 42 49 56 63 70 77 84 8 8 16 24 32 40 48 56 64 72 80 88 96 9 9 18 27 36 45 54 63 72 81 90 99 108 10 10 20 30 40 50 60 70 80 90 100 110 120 11 11 22 33 44 55 66 77 88 99 110 121 132 12 12 24 36 48 60 72 84 96 108 120 132 144 13 13 26 39 52 65 78 91 104 117 130 143 156 14 14 28 42 56 70 84 98 112 126 140 154 168 15 15 30 45 60 75 90 105 120 135 150 165 180 One hundred seventy-two million, eight hundred twenty-three thousand, five hundred four and two hundred sixty-nine thousandths. MULTIPLICATION CHART FRACTIONS MONEY DECIMALS AND PERCENTAGES SYMBOLS ORDER OF OPERATIONS 3 numerator 5 denominator To add or subtract different fractions, first obtain a common denominator: To multiply: To divide, multiply the first fraction with the reciprocal of the second fraction: 1 = 1.0 = 100% 3/4 = 0.75 = 75% 2/3 = 0.6 = 66.6% 1/2 = 0.5 = 50% 1/3 = 0.3 = 33.3% 1/4 = 0.25 = 25% 1/5 = 0.2 = 20% 1/6 = 0.16 = 16.6% 1/8 = 0.125 = 12.5% 1/9 = 0.1 = 11.1% 1/10 = 0.1 = 10% 1/12 = 0.083 = 8.3% P Do operations within Parentheses ( ) and other grouping symbols, such as absolute value and square root E Do Exponents 2 and roots √— in order from left to right MD Do Multiplication x and Division ÷ in order from left to right AS Do Addition + 5 + 3 x 6 = ? and Subtraction – in 5 + 3 x 6 = 23 order from left to right BUT: (5+ 3) x 6 = 48 < Is less than > Is greater than = Is equal to ≈ Is approximate to < Is less than or equal to > Is greater than or equal to A PRIME NUMBER is a whole number that has exactly two factors, itself and 1. 7 | 13 | 41 Greatest Common Factor The greatest number that is a factor of two or more numbers. 16 and 24, GCF is 8 Least Common Multiple The smallest number that is a multiple of two or more numbers. LCM of 3, 6, and 10 is 30 Math Nickel = 5 cents = $0.05 Dime = 10 cents = 2 nickels = $0.10 Quarter = 25 cents = 5 nickels = $0.25 Dollar = 100 cents = 20 nickels = 10 dimes = 4 quarters = $1.00 Two Dollars = 200 cents = 40 nickels = 20 dimes = 8 quarters = $2.00 1 x 2 = 1 x 2 = 2 3 5 3 x 5 15 2 ÷ 1 = 2 x 6 = 12 =4 3 6 3 x 1 3 RESOURCE PAGES R–8
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