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 a percent always out of?
100
TRUE or FALSE and WHY:
Is 4/5 equivalent to 80/100?
True, because 4/5 represents 80% of 100%.
Explanations may vary
What is every fraction secretly?
HINT: Fraction bar means....
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 is 0.062 written as a percent?
6.2%
TRUE or FALSE and WHY:
Is 40/80 equivalent to 25/50?
True, because they both equal 1/2.
Explanations will vary
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 is 4/5 has a decimal AND a percent?
0.8
80%
TRUE or FALSE and WHY:
Is 8/10 equivalent to 16/30?
False
Explanations will vary.
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
To convert a decimal to a percent. Which way does the decimal move, and what do you do with 100?
Moves two times to the right.
Multiply
TRUE or FALSE and WHY:
Is 1/5 equivalent to 0.20?
True
Explanations may vary
What quadrant would (5, -7) be placed in?
Quadrant IV
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
Covert 83% to a decimal.
0.83
TRUE or FALSE and WHY:
Is 10/15 equivalent to 2/3?
True, because 10/15 simplified can be 2/3.
Explanations can vary.
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.