Unit 1 Study Guide
By: Nasser M
Number Sets
Ex: 1,2,3,4,5,6
Whole Numbers: Any number that's not a fraction, decimal, or a negative.
Ex: 0,1,2,3,4,5,6
Integers: Any number that's not a fraction or a decimal.
Ex: -1,0,1,2
Rational Numbers: Any number that's not irrational.
Ex: 1.5, 7/4, -2, 0, 5
Irrational Numbers: A number that goes on forever, but never repeats.
Ex: 3.14 or Pi
Fraction To Decimals
Ex: 2/4 4(2.0 4x5=20 Answer: .5
Operations With All Rational Numbers
Ex: 9+ -12= -3 Ex: 12+ -9= 3
Decimals: negative + negative = negative) (positive + negative= negative) (+ + + = +)
Ex: 9.2+10.8= 20.0 Ex: -9.5+ -7.0 = -16.5 Ex: -9.0 - 3.0 = -12 Ex: -9.5 - (-9.5) = 0
Fractions:
- Find common Denominator
- Turn to mixed fraction
- Simply add together
- Turn to proper fraction
SUBTRACTION: (negative-negative=positive) (negative-Positive=negative)
Positive-negative=positive) (positive-positive=negative)
Integers: Ex: -18 - (-12)= -6 Ex: 18 - 6= 12 Ex: -20 - (-40)= 20 EX: 2-2=0
Decimals: Ex: -4.7 + -5.3= -10 EX: -5.1 - 5 = -10.1 Ex: 5 - (-10) = 15 -4.7 - (-4.7) = 0
Fractions:
- Find common Denominator
- Turn to mixed fraction
- Subtract straight across
- Turn to proper fraction
MULTIPLICATION: (Positive x Positive= positive) (Negative x Negative= positive)
(Negative x Positive= Negative)
Integers: 2*-11= -22 3*3= 9 -9*-10= 90
Decimals: EX: 5.4 x 13= 54 x 130 = 7020 = 70.20
- 2.4 x 7 = 24 x 70
- 2.44 x 7 = 244 x 700
Convert all mixed numbers to improper fractions.
Flip second fraction EX: 2/4 x 5/4 = 2/4 x 4/5
Multiply the numerators.
Multiply the denominators.
Reduce your final answer.
DIVISION: (negative/negative=positive) (positive/negative=negative) (posititve/+=+)
Decimals: 4.8/0.02= 480/2 = 240
Integers: (Same rules as multiplying integers) 16/-4= -4
Fractions: 4/5 / 1/2 = 4/5 x 2/1
- flip second fraction
- Multiply numerator
- multiply denominators
- reduce or simplify answer
Scientific Notation
- Number to left of decimal has to be 1 or more, or 10 or less
- if Negative then move decimal to left -2.0 x 10(3) = .0002
- If positive then move decimal to right Ex: 2.0 x 10 (3) = 2000.0