Review Flashcards
(33 cards)
7/5 — 1 2/5
(Improper Fraction to Mixed Number)
- turn fraction into long division and solve
- the whole number becomes the whole number
- the remainder becomes the numerator
- the denominator is what you’re dividing by (doesn’t change)
Dividing Fractions
4/5 divided by 2/3
KCF (keep change flip)
Simplifying Fractions
- Find the GCF of N&D
- Divide both by the GCF
- If N = 1 it is already simplified
- If the GCF = 1 it is already simplified
Rounding
(round 839 to the nearest hundred)
- Underline the place value you are rounding to
- Look next door
- 5+ round up, 4- round down
- Round up: Underlined number goes up, rest are zeroes
- Round down: underlined number stays the same, rest are zeroes
Addition vocab
- addend + addend = Sum
- AND
- plus
- increase
- combined
- together
- longer
- total
- both
Subtraction vocab
- ____ - _____ = Difference
- How many more
- fewer
- less than
- minus
- remains
- left
Multiplication vocab
- factor x factor = product
- each
- times
- groups of
- area
- twice (x2)
- triple (x3)
Division vocab
*dividend / divisor = quotient
- each
- share
- split
- divided
- separate
- half (/2)
ISSS
Identify
Strategize
Set Up
Solve
Steps for Adding and Subtracting Integers
- STOP AND IDENTIFY*
- A same-same, a CAVOSSC, or a KCF
Adding same same
-4 + -5
- Add
- Carry over the sign
Adding opposites (positive and a negative)
(-4 + 3)
CAVOSSC
- Commute/change the bigger number first
- Absolute value
- Opposites subtract
- Sign check: if the the bigger number was positive, the answer is positive….
Subtracting Integers
- 3 - 6
ALL SUBTRACTION STARTS AS KCF
- Keep Change Flip
- It becomes either a same-same or CAVOSSC
Is the answer positive or negative
+ and -
(same-same and CAVOSSC)
Same-same: carry it over
CAVOSC: the bigger number carries the sign over
Is the answer negative or positive (multiplication and division)
Same sign: ALWAYS POSITIVE
Opposites (one positive, one negative): ALWAY NEGATIVE
Every number has a secret decimal point
At the end of the digits
EX: 5 = 5.0
342 = 342.0
When do I add a zero in long division
When I add a decimal point to the top
(when working with decimals, not fractions)
When multiplying/dividing powers of ten
EX : 6.3 X 1000 or 4.5 x 10 to the 5th power
One is the magic number that keeps digits the same
How many zeroes is how many spots you move
Simplifying With Two Parentheses
ex: (2x - 4) + (8x -1)
- STOP and notice operations
- Change any subtraction to adding a negative
- If subtraction is between parentheses, flip to addition and distribute a FLIP to the terms inside
- Ignore the parenthese
- Combine constants and like terms.
Simplifying with Multiplication
ex: 6(4x -5)
- Distribute the coefficient to all terms inside the parentheses.
- Combine constants and like terms.
Factoring Expressions
ex: 12x + 48y
- Find the GCF between the terms
- Break down the terms into factor pairs.
- Rewrite with the GCF as coefficient, and the terms inside the parentheses.
How to Write Decimals as Fractions
ex: 0.57.
- If there is a whole number, it will turn into a mixed number, if zero it will only be a fraction
- Look and see the place value of the last digit
- Write that number as the denominator
- Digits become the numerator
How to Write Fractions as Decimals
All fractions can be rewritten as division
Divide the numerator by the denominator
Unit Rate
ex: 1:5
A comparison between two numbers, one of the numbers is 1
