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Math Review

Math Review. Mrs. Bonifay’s Algebra I Class. Types of Numbers. Natural Numbers: Also known as counting numbers (1, 2, 3, 4, 5, 6…………) Whole Numbers: Natural numbers plus 0 (0, 1, 2, 3, 4, 5, 6…………). More Types of Numbers. Positive Numbers:

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Math Review

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  1. Math Review Mrs. Bonifay’s Algebra I Class

  2. Types of Numbers • Natural Numbers: Also known as counting numbers (1, 2, 3, 4, 5, 6…………) • Whole Numbers: Natural numbers plus 0 (0, 1, 2, 3, 4, 5, 6…………)

  3. More Types of Numbers • Positive Numbers: All numbers greater than zero • Negative Numbers: All numbers less than zero (Zero is neither positive nor negative!)

  4. And More Types of Numbers! • Integers: Whole numbers and their opposites example: -1 and 1 are opposites • Rational Numbers: Numbers which can be represented as a fraction of two integers

  5. A Little More Even and Odd • All even numbers are divisible by 2. • All odd numbers are NOT divisible by 2. • Remember: Zero is neither positive nor negative!

  6. Absolute Value • Absolute value is a number’s distance from zero. • Absolute values are always, always, always positive EXCEPT for the absolute value of zero which is zero! • Example: [-1] = 1 [1] = 1 [0] = 0

  7. Add or Subtract • When you want to find the SUM of two or more numbers, you: ADD (+) • When you want to find the DIFFERENCE of two or more numbers, you: SUBTRACT (-)

  8. Multiply or Divide • When you want to find the product of two or more numbers, you: MULTIPLY (x) • When you want to find the quotient of two or more numbers, you: DIVIDE (/)

  9. Place Values • The place in a multi-digit number a single digit holds. EXAMPLE: In the number 123 (“one-hundred twenty-three”), “3” is in the ones place, “2” is in the tens place, and “1” is in the hundreds place.

  10. FRACTIONS • A FRACTION is a part of a whole. EXAMPLE: If I have a pizza with six slices, one slice of pizza will be 1/6 or one piece out of six pieces.

  11. More Fractions In the fraction 1/6, “1” is called the numerator, and “6” is called the denominator. numerator denominator

  12. Even More Fractions REMEMBER: When the numerator and the denominator are the same number, the fraction is equal to “1” Example: Numerator is 7 = 1 Denominator is 7

  13. Adding Fractions When adding fractions with like denominators, simply add the numerators. Example: 1 + 3 = 4 5 5 5 1 + 3 = 4 5 5

  14. Subtracting Fractions As with addition, when subtracting fractions with like denominators, simply subtract the numerators. Example: 4 - 3 = 1 5 5 5 4 - 3 = 1 5 5

  15. Multiplying Fractions When multiplying fractions, multiply the numerators AND multiply the denominators. Example: 2 x 3 = 6 3 5 15 2 x 3 = 6 3 x 5 = 15

  16. Dividing Fractions When dividing fractions, “flip” the second fraction in the equation and then multiply. Example: 2 / 3 = 2 x 5 = 10 3 5 3 3 9

  17. Greater Than, Less Than, and Equal To • “Greater than” (>) is when the first number listed is more than the second number listed. Example: 56 > 45 • “Less than” (<) is when the first number is less than the second number. Example: 45 < 56 • “Equal to” (=) is when the first and second number are the same value. Example: 45 = 45 or 1 = 6 6

  18. Exponents 2 4 This would be read “four to the second power.” It would be the same at “4 x 4” which is 16 “4” is the BASE and “2” is the EXPONENT “16” is the power.

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