| Expressing Each Number as the Product of Primes: * Factor each number into its primes. Find the greatest common factor of 24 and 36 * Select those factors (by pairs) common to each. 24: 2 x 2 x 2 x 3 36: 2 x 2 x 3 x 3 common factors: 2 x 2 x 3 * The greatest common factor is the product of the number that you selected in step 2 2 x 2 x 3 = 12 Using Euclid's Model: * Divide the larger number by the smaller, expressing the quotient with a remainder. Find the GCF of 27 and 90 90/27= 3 r 9 page 2.. (continued on page 3) |
| 60/6 = 6n/6 10 = n Types of Decimals: In the broadest sense, a decimal is any numeral in the base ten number system. The following are several types of decimals. * Decimal Fraction- a number that has no digits other than zeros to the left of the decimal point. Examples: 0.349, 0.84, 0.3001 * Mixed Decimal- an integer and a decimal fraction. Examples: 8.341, 27.1, 341.07 * Similar Decimals- decimals that have the same number of places to the right of the decimal point. Examples: 3.87 and 0.12; 14.015 and 3.396 * Decimal equivalent of a proper fraction- the decimal fraction that equals the proper fraction. Examples: 0.25 = 1/4; 0.3 = 3/10 * Finite (or Terminating) Decimal- a decimal that has a finite number of digits. Examples: 0.3, 0.2765, 5.38412 page 4. (continued on page 5) |
| * Divide the previous divisor by the previous remainder 27/9 = 3 r 0 * Continue this process until the remainder is 0 * The last divisor is the greatest common factor of the number. 9 is the GCF of 27 and 90 Rules for Solving Proportions: A proportion is a statement that two ratios are equal. Proportions can be helpful in solving word problems, particularly those involving percents. * Write the proportion. Solve for n *Show the cross product of the proportion. n/4 = 15/6 * Find the products 4 x 15 = 6 x n 60 = 6n * Divide both sides of the equation by the coefficient of n page 3. (continued on page 4) |
| Rules for Finding the (GCF) Greatest Common Factors: A factor is a number that divides into a larger number evenly. The greatest common factor is the largest number that divides into two or more numbers evenly. Being able to find the greatest common factor is an important skill for reducing fractions. It is also helpful in algebra for factoring polynomials. The GCF of two or more numbers can be found in three ways: LISTING FACTORS: * List all the numbers that divide evenly into the first given number Find the GCF of 24 and 36 These are the factors: 24: 1, 2, 3, 4, 6, 8, 12, 24 * List all the factors of the second number: 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 * List the GCF GCF: 12 page 1.... (continued on page 2) |
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