Math fundamentals, Part 2 Flashcards
How do you find 1% of a figure?
Move the decimal point two places to the left.
Why practice mental math?
You will become better at it, lessen your fear of math, and prevent slow downs in multi step problem solving.
Why is estimating important in math?
It helps you recognize an error if your answer is far off from your estimate.
There are four basic operations: addition, subtraction, multiplication and division. In which of these operations does the order of operations make a difference?
Subtraction and division
Do people who believe their intelligence is changeable, learn more easily than those who do not?
Yes
Can I adopt a belief that I can become good at math?
Yes
If I work hard and keep an open mind can I overcome my fear of math?
Yes
How do you become better at Math?
Practice, practice, practice…
When is the best time to practice new math skills?
Right after learning the new skill
Where is a good place to place exercise files?
On my desk top
How long should you repeat exercises?
Until they become easy
After practicing math exercises what further step can I take to improve my math skills?
Find a problem in my life to apply my math skills to
What is PEMDAS
Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction
What order to you work in in solving math problems?
From left to right
What are decimals?
Parts of a whole
In the number 1234.5789: what do the numbers stand for:
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
How are decimals useful?
You can use them to be more precise, or to round off numbers.
What are fractions?
show how much of a whole there is
what does the bar in the fraction stand for?
Divide
How do you reduce a fraction?
Look for a number which will divide the numerator and denominator.
How do you convert a fraction into a decimal?
Divide the numerator by the denominator
How do you convert a decimal into a percent?
Move the decimal point two places to the right.
When the numerator of a fraction is higher than the denominator it is called a ______?
Improper fraction
What is an easier way to handle improper fractions?
Convert them into mixed numbers
How do you add or subtract fractions with different denominators?
Convert denominators into common denominators, by multiplying denominators together (multiply numerators too) then add or subtract numerators.
How do you add or subtract fractions with common denominators?
Add or subtract numerators
How do you multiply fractions?
Multiply numerators and denominators, straight across
How do you divide fractions?
Invert second fraction and multiply
In math, the word “of” translates into_____?
multiply
Percents are like fractions and decimals in that they are parts of a _______?
They are parts of a whole.
In fraction and decimal terms 44% is _______ & ______
44/100 & .44
In percentages, the whole is ______?
100%
What is 100% of 876?
876
How do you find 10% of 876?
Move the decimal one place to the left. 87.6
How do you find 1% of 876?
Move the decimal point two places to the left. 8.76
How do you take a percentage of an uneven percent, such as 15%?
Convert the percentage to a decimal by moving the decimal point two places to the left and multiplying.
.15 x 876 = 131.4
How do you increase or decrease a number by 15%?
Move the decimal point of the percentage two places to the left, and multiply. Then add or subtract the amount.
How do you calculate percentage changes, such as the difference between 65 degrees and 75 degrees?
Subtract 65 from 75 = 10
Divide 10 by 65 = .15
(multiply .15 by 100) Move decimal point two places to right = 15%
Can you combine multiple discounts to obtain a total discount?
No
Each discount must be figured separately and then added.
What is a ratio?
A ratio is a relationship.
What is the difference between a part to whole ratio and a part to part ratio.
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
How do you convert a part to part ratio to a part to whole ratio?
You add the two parts to determine the whole. You end with a fraction expressing the part to whole ratio.
What is clear way to express multiplying 63 x 2/9ths?
63/1 x 2/9 = 126/9 =14
In math, what does “x” mean?
“x” stands for an unknown quantity.
In solving an equation, if you do something to one side of the equation, you must also do it to the __________?
You must perform the action on the other side.
How do you convert a part to part ratio, to a part to whole ratio?
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
How do you make 63 into a fraction?
Invert
63/1
How do you translate “sum” from English to math?
Give example
Add
The sum of 5 and 7 is 12
How do you translate the “difference” from English to math? Give Example
Subtract
The difference of 10 and 8 is 10 minus 8.
How do you translate “product” from English to math? Give example
Multiply
The product of 4 and 7 is 4 times 7.
How do you translate “to”?
Give example
Divide
the ration of a to b is a divided by b.
a to b = a/b
How do you translate “what/how many”?
x is used to describe an unknown.
How do you translate “what percent”?
x/100
How do you translate “is/was”?
An equal sign
How do you translate “greater/smaller than”?
Use percent change formula
difference/original x 100.
How do you translate “per”?
Give example
Divide
a per b, would mean a divided by b.
The words “what” or “how many” mean what in a math problem?
They stand for something we do not know. We call that an unknown or variable, or in other words an x.
The phrase what percent stands for?
x stands for what, per for divide and cent for the number 100.
What is the percent change formula?
Percent change is the difference over original times 100.
How do you take 20% of 50?
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
When we calculate with percents, we want to generally write them as?
decimals
What does sum mean?
Add
What does the word product mean?
Multiply
What two english words mean to divide?
“to” The ratio of a “to” b, translates as a divided by b.
60 mph = 60 miles divided by 1 hour.
What are synonyms in math for what, how many, an unknown, a variable?
x
“What percent” translates in english as?
x for what, per for divide and cent for 100.
The word “is” or “was” translates in math as?
an equals sign =
The phrase “greater than” or “smaller than” tells you what?
Use your percent change formula.
What is the percent change formula?
The difference over the original times 100.
How do you convert a percent into a decimal?
20% equals what in decimal.
Move the decimal place two places to the left.
.20 or .2
“Of” translate to?
Multiply
