Basic Math Concepts Flashcards

1
Q

Integers

A
  • are whole numbers, not fractions or decimals
  • zero is an integer
  • includes both positive and negative whole numbers
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2
Q

Converting mixed numbers into fractions

A
  1. First, convert whole number into fraction with same denominator as fraction
    ex: 3 4/5 —> 3 = 15/5
  2. Add two fractions with common denominator
    ex: 15/5 + 4/5 = 19/5
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3
Q

The Bowtie

A
  • find least common denominator to add/subtract fractions with different denominators
  • multiply bottom left # with top right # and vice versa; write products above numerators
  • then add or subtract the products according to the problem to find numerator
  • last, multiply both denominators to find new denominator
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4
Q

Multiplying fractions

A
  • line them up and multiply straight across

- can also cancel out/reduce numbers before multiplying

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5
Q

Dividing fractions

A
  • flip second fraction over (aka multiply by its reciprocal)
  • you can only reduce after flipping second fraction
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6
Q

Comparing fractions by value

A
  • use Bowtie method

- whichever fraction has larger numerator is the larger fraction

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7
Q

How do you find the decimal equivalent of a fraction?

A

-divide the numerator by the denominator

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8
Q

Adding/subtracting decimals

A

-line up the decimals, add zeros if necessary

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9
Q

Multiplying decimals

A
  • ignore decimal points until done with multiplication

- after done multiplying, count number of decimal places to the left

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10
Q

Dividing decimals

A
  • need to make sure number you’re dividing by is a whole number
  • move decimal places same number of times to both numbers
    ex: 1.86 ÷ 0.3 —> 18.6 ÷ 3
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11
Q

Percentages

A

-to convert fraction into percent, first convert fraction into decimal, then multiply by 100

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12
Q

Percent change formula

A

difference ÷ original amount

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13
Q

2 cups = ?

A

1 pint

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14
Q

2 pints = ?

A

1 quart

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