Math Flashcards

1
Q

What is a prime factorization?

A

A multiple equation made with only prime numbers that equals the given composite number. Done by dividing and dividing until all you have are prime numbers then stating the equation multiplying the prime numbers together.

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2
Q

Least common multiple (LCM)

A

The the smallest product that both numbers go into. Find the prime factor of both numbers, then make sure each different number appears in the next equation, but only the number of times it is found the MOST in ONE of the equations, then multiply

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3
Q

How do you find the least common denominator?

A

By finding the LCM of the denominators.

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4
Q

Mixed numbers

A

A whole number with a fraction.

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5
Q

Simplify

A

Reduce the fraction, but not a mixed number

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6
Q

How do you know how many decimal spaces are in the product of two decimals?

A

By adding how many decimal places are in each number. 0.123*0.12 the answer would have 5 numbers after the decimal.

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7
Q

What is the order of operations?

A

PEMDAS

Parenthesis, exponents, multiplication and division, addition and subtraction

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8
Q

Irrational numbers

A

Imaginary, infinity, continuous non-repeating decimal. Square root of 2

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9
Q

Rational numbers

A

Can be written as a fraction

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10
Q

Absolute value equations

A

Must solve for both the positive and negative

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11
Q

When do you flip an inequality sign in an equation?

A

When you multiply or divide both sides by a negative number

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12
Q

What are the roman numerals for 1, 5, 10, 50, 100, 500, and 1,000?

A

I, V, X, L, C, D, M

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13
Q

Front end estimation

A

Ignore all digits after the first and add using only digits with the same place value unless multiplying. Then do the same thing with the remaining digits, refining your initial estimate until you get 2 numbers that aren’t 0.

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14
Q

Constant of proportionality

A

Ratio between 2 things: i.e. price per lb

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15
Q

How many feet are in 1 mile?

A

5,280 ft

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16
Q

How many km/mile?

A

1.61 km

17
Q

Mean

A

Average

18
Q

Median

A

Middle number

19
Q

Mode

A

Number that appears most

20
Q

Range

A

Subtract the minimum value from the maximum value

21
Q

Expected value

A

Mean of a random variable- The sum of the samples divided by the random variable’s probability. An average including probabilities.

22
Q

1 inch= how many cm?

A

2.54 cm

23
Q

Perimeter of circle?

A

Circumference=pie*diameter or 2pieR

24
Q

Parameter of a right angle?

A

c^2=a^2+b^2

25
Q

Arc length as fraction of a circle

A

L=degrees/360degreespiediameter

26
Q

Area of a triangle

A

b*h/2

27
Q

Area of a parallelogram (slanted rectange)

A

b*h

28
Q

Area of a trapezoid

A

(b1+b2)*h/2

29
Q

Area of a circle

A

pie*r^2

30
Q

Area of rhombus (kite)

A

d1*d2/2

31
Q

Surface area of a sphere

A

4pier^2

32
Q

Surface area of a cylender

A

(2pier^2)+(h2r*pie)

33
Q

What is pie?

A

3.14159

34
Q

How many lbs in 1 kg?

A

2.205 lbs

35
Q

What is the C to F formula?

A

F=9/5C+32

36
Q

What is the F to C formula?

A

C=5/9(F-32)

37
Q

How many ml are in 1 oz?

A

29.57353 ml

38
Q

How many grams are in 1 oz?

A

28.35 grams

39
Q

How many gal is 1L?

A

0.2642 gal