1st Semester 7th Grade Math Notes To Memorize

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1st Semester 7th Grade Math Notes To Memorize

  1. 1. 1. Associative Property of Addition or Multiplication (6 + 3) + 5 = 6 + (3 + 5) or (2 x 5) x 7 = 2 x (5 x 7) 2. Commutative Property of Addition or Multiplication 8+9+6=6+8+9 or 6x7=7x6 3. Distributive Property 2(a + b) = 2a + 2b 4. Inverse Property 4 + (-4) = 0 5 x 1/5 = 1 5. Identity of 1 3x1=3 or 7+0=7 6. Multiplication of zero 2x0=0 7x0=0
  2. 2. 7. Solving equations A. Isolate the variable B. By inverse operation C. Variable is a letter that stands for an unknown number D. Inverse means opposite operation EX: 4 + n = 18 You want n to be by itself on its side of the equal sign so you subtract 4 from both sides of equal sign and you will have n = 12 left. 8. Scientific Notation Place the decimal after the first non-zero digit. EX: 21,000 = 2.1 x 104 The decimal was after the last zero and you Moved it 4 places to after the 2 making so that Makes it to the 4th power. 9. Coordinate Plane y Quadrant II Quadrant I x Quadrant III Quadrant IV
  3. 3. 10. Absolute Value The distance a number is from zero. Ex: |-5| = 5 |5| = 5 11. Adding Integers: With like signs: Add and use the sign they have in common. With unlike signs: Subtract the smallest absolute value from the Largest absolute value and use the sign of the Largest absolute value. 12. Subtracting Integers Change sign to addition Change 2nd number to it’s opposite Follow rules of addition 13. Multiply and Divide Integers
  4. 4. Signs alike – positive Signs different – negative 14. Mean Sum of data divided by number of data (average) 15.Median Middle number of an odd number of data items arranged in order. For an even number of data items, the median is the average of the two middle values. 16. Mode The value or values that occur most often. When all data occur the same amount, there is no mode. 17. Range The difference between the greatest and least values. 18. Outlier A number that is much greater or less than the other numbers in a set of data.
  5. 5. 19. Square numbers 1 = 12 4 = 22 9 = 32 16 = 42 25 = 52 36 = 62 49 = 72 64 = 82 81 = 92 100 = 102 121 = 112 144 = 122 Therefore if I asked for square root of 144 the answer would be 12. If I asked for square root of 69 you would say it is between 8 and 9 because 69 falls between 64 and 81.
  6. 6. Ex. of 32 is: ... ... ... Inequalities: A mathematical sentence that contains <, >, = , <, or >.

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