# Math 45 Test 1

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 Author: regishouse ID: 128192 Filename: Math 45 Test 1 Updated: 2012-01-23 04:20:43 Tags: Math 45 Folders: Description: Math 45 test 1 Show Answers:

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1. Least Common Factor:
The smallest number that can be divided evenly by each of a group of specified numbers

i.e. Find the LCM of 75, 125
• 75: 75, 150, 225, 300, 375
• 125: 125,250,375
2. Equivilent Fractions:
The Least Common Denominator is the least common multiple of all denominators

i.e. write and as equivilent fractions with the least common denominator
• Find the LCM of 10,12
• LCM = 60

• = (multiply 1 by 6, the number needed to get 10 to 60)
• = ( multiply 1 by 5)
3. Reducing Fractions:
Reduce by finding multiples of both numbers, reduce to the least common factors

i.e
• =
• (divide num & denom by 8)
4. Place Value/ Decimal Numbers:

i.e
Find the place value of 1.694
Round 535.123 to the nearest tenth
• 1.694 = thousandths place
• 535.123 = 535.1
5. Fractions to Decimals:
divide the numerator by the denominator
• 27÷8
• 3.375
6. Decimal to Fraction:
use place value

i.e convert 0.45 to a fraction
• convert 0.45 to a fraction
• (divide by 5)
7. Percents:
Per hundreds (divide by 100)

Decimals to Percents: move decimal place 2 places to the right

Percents to Decimals: move decimal place 2 places to the left
• 14% = 0.14
• 6.57% = .0657

• 0.332 = 33.2%
• 6 = 600%
8. Natural Numbers:
Set of natural / counting numbers
1,2,3,4,5,6,7,8,9....
9. Real Numbers:
sets of real numbers/ all numbers
1, -1, , 0.5
10. Whole Numbers:
All natural numbers and zero
0,1,2,3,4,5,6,7,8,9....
11. Even Numbers:
all numbers divisable by 2 (feminine)
2,4,6,8,10,12...
12. Odd Numbers:
remainder of 1 when divided by 2 (masuline)
1,3,5,7,9,11....
13. Subset:
If all members of one set are also members of a second set, the first set is a subset of the second

i.e B{1,2} A{1,2,3}
B{1,2} A{1,2,3} = BA

the empty set is a subest of A = {} A or A
14. Subsets of Real Numbers:
• Whole Numbers {0,1,2,3,4,5,6}
• Natural Numbers {1,2,3,4,5,6}
• Real Numbers { -1, 0.5, , [-9], 0.5555}
15. Intergers:
All whole numbers and the opposite of every whole number (not including fractions or decimals)
{-4,-3,-2,-1,0,1,2,3,4}
16. Rational vs Irrational Numbers:
Rational Numbers: fractions in which numerator & denominator are intergers

Irrational Numbers: cannot be repeated as fractions of intergers (π, √2)
17. Multiplying with Real Numbers
• (+) (+) = (+)
• (+) (-) = (-)
• (-) (-) = (+)
18. Dividing with Real Numbers
• (+) / (+) = (+)
• (-) / (+) = (-)
• (+) / (-) = (-)
• (-) / (-) = (+)
• (#) / (0) = (undefined)
• multiplicative inverses = reciprocals
must have common denominator

(divide both numbers by 7, find LCM of 98 & 28)
21. Multiplying & Dividing Fractions:
to divide fractions, mulitply by the reciprical

22. Adding & Subtracting Decimal Points:
line up decimals
• -170.826 + 100.7 + 3.02
• -170.826 + 103.72
• -67.106