Decimals and Fractions
What is the rule when adding and subtracting decimals?
Line up the decimal points and add zeros as place holders.
What are the three ways a ratio can be written?
X to Y
X : Y
X/Y
What is the sign for less than and greater than?
less than < and greater than >
What is a percent always out of?
100
What is every fraction secretly?
A division problem
What are the steps to dividing fractions?
1: Keep the first fraction
2: Change division to multiplication
3: Flip the second fraction
4: Multiply across
What are equivalent ratios? Explain and give one example!
Ratios that represent the same value when you compare them. Examples will vary
What does equivalent mean?
The same/equal to
What is 0.062 written as a percent?
6.2%
What is a quotient?
The answer to a division problem
TRUE or FALSE and WHY: You have to line up the decimal points when multiplying two numbers with decimals.
FALSE: You have to count the spaces to the right of the decimal in the problem, add them up, then put the decimal back into the final product using the combined number of spaces.
What is the difference between a rate and a unit rate?
A rate is a ratio that compares two different units
A unit rate compares two different units for the amount of ONE
What operations separate terms in an expression?
A plus or minus sign
What is the magic sentence, and when should you use it?
% of total is piece
EVERY TIME THERE IS A QUESTION WITH A PERCENT
List the order of operations (including rules!)
Parenthesis
Exponents
Multiply/Divide left to right
Add/Subtract left to right
3.14
Read this using place values (do not say point!!!)
3 and 14 hundredths
SAMPLE QUESTION: 5 apples cost $6.99. Find the price per apple.
What does the phrase “per apple” mean?
The price for one apple
What does it mean to substitute in algebra?
To replace a variable in an expression with an actual number
List the parts of the proportion you set up to solve for a percentage problem. (hint: use the magic sentence)
is/Piece %
______ = _____
of/Total 100
When finding the distance between two points on a coordinate plane, how do I know if I need to add or subtract the absolute values?
Add if the points are in different quadrants, subtract if the points are in the same quadrant
How do I find the reciprocal of a number?
You flip it so the numerator becomes the new denominator, and the denominator becomes the new numerator.
What operations can be used to find an equivalent rate/ratio?
Multiplication and division
What does it mean to evaluate an expression?
To find the value of an expression by substituting the variables for numbers
How are fractions, decimals, and percents related?
Since a percent is a ratio and out of 100, a percent can be written as a fraction and a fraction can be written as a decimal using place value.
How can I tell if two coordinate points are in the same quadrant without using a coordinate plane?
If the x values share the same sign and the y values share the same sign, they are in the same quadrant. If the x values or the y values have different signs, they are in different quadrants.