1. Chapter 4 Number Theory and Fractions

2. 4.1, Slide 1 of 2 4.1 Multiples and Factors (pp. 84-85, H 46) Multiples—numbers you get by “counting by” a number (e. g. multiples of 3 are 3, 6, 9, 12…). Factors—numbers by which another number is divisible (e. g. factors of 10 are 1, 2, 5, and 10). Click to continueClick to continue.

3. 4.1, Slide 2 of 2 4.1 Multiples and Factors (continued) Prime Numbers—numbers that have exactly two factors (e. g. 3, 11, 23). Composite Numbers—numbers that have more than two factors (e. g. 6, 20, 48). Click to continueClick to continue.

4. 4.2 Prime Factorization (pp. 86-87, H 47) Prime Factorization—writing a composite number as the product of prime numbers. Remember to write a prime factorization using bases and exponents (e. g. the prime factorization of 100 is 2 2 X 5 2 ). Click to continueClick to continue.

5. 4.3 LCM and GCF (pp. 88-91, H 47) LCM—the ”least common multiple” of two or more numbers (e. g. the LCM of 10 and 25 is 50, since 50 is the first number to appear on the list of both numbers’ multiples). GCF—the ”greatest common factor” of two or more numbers (e. g. the GCF of 10 and 25 is 5, since 5 is the biggest number by which both 10 and 25 can be divided). Click to continueClick to continue.

6. 4.4, Slide 1 of 2 4.4 Fractions in Simplest Form (pp. 94-95, H 47) These are also called “simplified fractions”, “reduced fractions”, or “fractions in lowest terms”. To write a fraction in simplest form, find the GCF of the numerator (top) and the denominator (bottom) of the fraction; then, divide both numbers by the GCF (e. g. the GCF of 8 and 12 is 4, so 8/12 would reduce to 2/3). Click to continueClick to continue.

7. 4.5, Slide 1 of 3 4.5 Mixed Numbers and Fractions (pp. 96-97, H 48) Mixed number—a number made up of a whole number and a fraction (e. g. 5 1/2). Improper fraction—a fraction whose numerator is larger than its denominator (e. g. 9/4). Click to continueClick to continue.

8. 4.5, Slide 2 of 3 4.5 Mixed Numbers and Fractions (continued) To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator; put this number over the original denominator (e. g. 7 1/2 = 15/2). Click to continueClick to continue.

9. 4.5, Slide 3 of 3 4.5 Mixed Numbers and Fractions (continued) To convert an improper fraction to a mixed number, divide the numerator by the denominator; the quotient is the whole number, and the remainder goes over the original denominator to make the fraction (e. g. 19/5 = 4 4/5). Click to continueClick to continue.

10. The End Study hard!