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Everyday Math > Math fundamentals, Part 2 > Flashcards

Math fundamentals, Part 2 Flashcards

1
Q

How do you find 1% of a figure?

A

Move the decimal point two places to the left.

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2
Q

Why practice mental math?

A

You will become better at it, lessen your fear of math, and prevent slow downs in multi step problem solving.

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3
Q

Why is estimating important in math?

A

It helps you recognize an error if your answer is far off from your estimate.

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4
Q

There are four basic operations: addition, subtraction, multiplication and division. In which of these operations does the order of operations make a difference?

A

Subtraction and division

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5
Q

Do people who believe their intelligence is changeable, learn more easily than those who do not?

A

Yes

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6
Q

Can I adopt a belief that I can become good at math?

A

Yes

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7
Q

If I work hard and keep an open mind can I overcome my fear of math?

A

Yes

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8
Q

How do you become better at Math?

A

Practice, practice, practice…

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9
Q

When is the best time to practice new math skills?

A

Right after learning the new skill

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10
Q

Where is a good place to place exercise files?

A

On my desk top

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11
Q

How long should you repeat exercises?

A

Until they become easy

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12
Q

After practicing math exercises what further step can I take to improve my math skills?

A

Find a problem in my life to apply my math skills to

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13
Q

What is PEMDAS

A

Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction

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14
Q

What order to you work in in solving math problems?

A

From left to right

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15
Q

What are decimals?

A

Parts of a whole

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16
Q

In the number 1234.5789: what do the numbers stand for:

A

one thousand, two hundreds, 3 tens, 4 ones, 5 tenths of one, 7 one hundredths of one, 8 one thousandths of one and 9 ten thousandths of one

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17
Q

How are decimals useful?

A

You can use them to be more precise, or to round off numbers.

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18
Q

What are fractions?

A

show how much of a whole there is

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19
Q

what does the bar in the fraction stand for?

A

Divide

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20
Q

How do you reduce a fraction?

A

Look for a number which will divide the numerator and denominator.

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21
Q

How do you convert a fraction into a decimal?

A

Divide the numerator by the denominator

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22
Q

How do you convert a decimal into a percent?

A

Move the decimal point two places to the right.

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23
Q

When the numerator of a fraction is higher than the denominator it is called a ______?

A

Improper fraction

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24
Q

What is an easier way to handle improper fractions?

A

Convert them into mixed numbers

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25
Q

How do you add or subtract fractions with different denominators?

A

Convert denominators into common denominators, by multiplying denominators together (multiply numerators too) then add or subtract numerators.

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26
Q

How do you add or subtract fractions with common denominators?

A

Add or subtract numerators

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27
Q

How do you multiply fractions?

A

Multiply numerators and denominators, straight across

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28
Q

How do you divide fractions?

A

Invert second fraction and multiply

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29
Q

In math, the word “of” translates into_____?

A

multiply

30
Q

Percents are like fractions and decimals in that they are parts of a _______?

A

They are parts of a whole.

31
Q

In fraction and decimal terms 44% is _______ & ______

A

44/100 & .44

32
Q

In percentages, the whole is ______?

A

100%

33
Q

What is 100% of 876?

A

876

34
Q

How do you find 10% of 876?

A

Move the decimal one place to the left. 87.6

35
Q

How do you find 1% of 876?

A

Move the decimal point two places to the left. 8.76

36
Q

How do you take a percentage of an uneven percent, such as 15%?

A

Convert the percentage to a decimal by moving the decimal point two places to the left and multiplying.

.15 x 876 = 131.4

37
Q

How do you increase or decrease a number by 15%?

A

Move the decimal point of the percentage two places to the left, and multiply. Then add or subtract the amount.

38
Q

How do you calculate percentage changes, such as the difference between 65 degrees and 75 degrees?

A

Subtract 65 from 75 = 10

Divide 10 by 65 = .15

(multiply .15 by 100) Move decimal point two places to right = 15%

39
Q

Can you combine multiple discounts to obtain a total discount?

A

No

Each discount must be figured separately and then added.

40
Q

What is a ratio?

A

A ratio is a relationship.

41
Q

What is the difference between a part to whole ratio and a part to part ratio.

A

In a part to whole ratio, the whole is in the ratio (It is one of the numbers in the ration). In a part to part ration we do not know the whole

42
Q

How do you convert a part to part ratio to a part to whole ratio?

A

You add the two parts to determine the whole. You end with a fraction expressing the part to whole ratio.

43
Q

What is clear way to express multiplying 63 x 2/9ths?

A

63/1 x 2/9 = 126/9 =14

44
Q

In math, what does “x” mean?

A

“x” stands for an unknown quantity.

45
Q

In solving an equation, if you do something to one side of the equation, you must also do it to the __________?

A

You must perform the action on the other side.

46
Q

How do you convert a part to part ratio, to a part to whole ratio?

A

You add the parts to create a common denominator in two fractions. Ex. a group with 2 men for every 7 woman = 2 + 7 = 9
Men become 2/9 of group
Women become 7/9 of group

47
Q

How do you make 63 into a fraction?

A

Invert

63/1

48
Q

How do you translate “sum” from English to math?

Give example

A

Add

The sum of 5 and 7 is 12

49
Q

How do you translate the “difference” from English to math? Give Example

A

Subtract

The difference of 10 and 8 is 10 minus 8.

50
Q

How do you translate “product” from English to math? Give example

A

Multiply

The product of 4 and 7 is 4 times 7.

51
Q

How do you translate “to”?

Give example

A

Divide

the ration of a to b is a divided by b.

a to b = a/b

52
Q

How do you translate “what/how many”?

A

x is used to describe an unknown.

53
Q

How do you translate “what percent”?

A

x/100

54
Q

How do you translate “is/was”?

A

An equal sign

55
Q

How do you translate “greater/smaller than”?

A

Use percent change formula

difference/original x 100.

56
Q

How do you translate “per”?

Give example

A

Divide

a per b, would mean a divided by b.

57
Q

The words “what” or “how many” mean what in a math problem?

A

They stand for something we do not know. We call that an unknown or variable, or in other words an x.

58
Q

The phrase what percent stands for?

A

x stands for what, per for divide and cent for the number 100.

59
Q

What is the percent change formula?

A

Percent change is the difference over original times 100.

60
Q

How do you take 20% of 50?

A

You convert 20% into a decimal by moving decimal point two places to left and multiply. Remember “of” means multiply. answer .20 x 50 = 10

61
Q

When we calculate with percents, we want to generally write them as?

A

decimals

62
Q

What does sum mean?

A

Add

63
Q

What does the word product mean?

A

Multiply

64
Q

What two english words mean to divide?

A

“to” The ratio of a “to” b, translates as a divided by b.

60 mph = 60 miles divided by 1 hour.

65
Q

What are synonyms in math for what, how many, an unknown, a variable?

A

x

66
Q

“What percent” translates in english as?

A

x for what, per for divide and cent for 100.

67
Q

The word “is” or “was” translates in math as?

A

an equals sign =

68
Q

The phrase “greater than” or “smaller than” tells you what?

A

Use your percent change formula.

69
Q

What is the percent change formula?

A

The difference over the original times 100.

70
Q

How do you convert a percent into a decimal?

20% equals what in decimal.

A

Move the decimal place two places to the left.

.20 or .2

71
Q

“Of” translate to?

A

Multiply

Everyday Math (2 decks)

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