Things to Know Flashcards by Alejandra Quatrini

prime number
- ex?

any whole # greater than 1 that has only 2 factors (itself and 1) meaning, a number that can only be divided by 1 and itself
- ex: 2, 3, 5, 7 etc.

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composite number
- ex?

any whole # greater than 1 that has more than 2 diff. factors, AKA any whole number that is NOT a prime #
- ex: 1, 2, 4, 8, etc.

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rational numbers

all integers, decimals and fractions (even a repeating decimal #)

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irrational numbers

cannot be written as fractions or decimals bc the # of decimal places is infinite (ex: pi)

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for the # 14, 059. 273, what are the place values of each #?

1: ten thousandth
4: thousandth
0: hundredth
5: tenth
9: one
2: tenth
7: hundredth
3: thousandth

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what is three hundred two thousand eight hundred seventy six in number form?

302,876

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what is nine hundred one thousandths in number form?

0.901

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what is nineteen thousandths in number form?

0.019

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proper fraction

a fraction whose denominator is greater than its numerator

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improper fraction

a fraction whose numerator is greater than its denominator

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explain the steps of multiplying 4 3/8 by 3.5

convert 4 3/8 to an improper fraction
convert 3.5 to a fraction
multiply

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how do you write 0.24 as a fraction?

write 0.24 as a fraction: 0.24= 0.24/1
multiply the fraction 0.24/1 by 10 as many times as it takes until 0.24 is no longer a decimal. in this case, 0.24 x 10= 2.4, x10 again is 24. do the same to the denominator
the result is 24/100 so just simplify to 6/25

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what is 150% of 20?

move decimal 2 places to the left and multiply,
150 x 20 = 1.5 x 20 = 30

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what is the formula for percent increase?

percent increase = ((new amount - original amount)/ original amount) x100

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direct proportion

a relationship in which a quantity increases by a set amount for every increase in the quantity or decreases by that same amount for every decrease in the other quantity

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inverse proportion

a relationship in which an increase in one quantity is accompanied by a decrease in the other, or vice versa

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unit rate

expresses a quantity of one thing in terms of one unit of another (ex: mph)

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what is the formula for finding slope when given 2 points?

m= y2 - y1/ x2 - x1

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empty set

when an equation has no true solutions

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how is a linear eq. written in standard form?
- what is the slope in this eq.?
- y intercept?

Ax + By = C
- slope is -A/B
- y intercept is C/B

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how is a linear eq. written in slope intercept form?
- what is the slope in this eq.?
- y intercept?

y = mx + b
- slope is m
- y intercept is b

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how is a linear eq. written in point intercept form?
- what is the slope in this eq.?
- points on the line?

y - y1 = m(x - x1)
- slope is m
- point on line is (x1, y1)

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how is a linear eq. written in two point form?
- points on the line?

y - y1/ x- x1 = y2 - y1/ x2 - x1
- points on line are (x1, y1) and (x2, y2)

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how is a linear eq. written in intercept form?
- point that intercepts x axis?
- point that intercepts y axis?

x/x1 + y/y1 = 1
- (x1, 0)
- (0, y1)

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describe the 4 quadrants on a graph

quadrant 1 is the upper right corner, 2 is the upper left, 3 is the lower left, 4 is the lower right

parallel lines

2 or more lines that have equivalent slopes

perpendicular lines

have slopes that are negative reciprocals of each other (such as a/b and -b/a)

when using inequalities, when do you plot a hollow circle? - solid circle?

if the inequality involves a less than or greater than, hollow - if the inequality involves a less than or equal to or a greater than or equal to, solid

precision

how reliable and repeatable a measurement is (hitting a certain point on a target multiple times)

accuracy

how close the data is to the correct data (hitting multiple diff. points on a target that are all close to the bullseye)

maximum possible error

half the magnitude of the smallest unit used in the measurement (ex: if the unit of measurement is 1cm, the maximum possible error is 1/2cm)

giga

one billion

mega

one million

kilo

one thousand

deci

one tenth

centi

one hundreth

milli

one thousandth

micro

one millionth

how do you convert a larger unit to a smaller unit?

multiply the # of the known amount by the equivalent amount

how do you convert a smaller unit to a larger unit?

divide the # of the known amount by the equivalent amount

1000 ug (____) = 1 ____

micrograms; mg (milligram)

1000 mg (____) = 1 ____

milligrams; gram (g)

1000 g = 1 ____

1000 mL = 1 ____

1000 um (____) = 1 ____

micrometers; millimeter (mm)

1000 mm (____) = 1 ____

millimeters; meter (m)

100 cm = 1 ____

m (meter)

1000 m = 1 ____

km (kilometer)

1 in= ____ cm

2.54

1 ft= ____ in

12in

1 yd= ____ ft

3 ft

1 mi= ____ ft = ____ km

5280ft; 1.609km

1 ac= ____ square yds

4840 square yds

1 square mi= ____ acres

640 acres

1 fl oz= ____ fl drams = ____ mL

8 fl drams; 29.573 mL

1 c= ____ fl oz

8 fl oz

1 pt = ____ fl oz

16 fl oz

1 gal = ____ qt

4 qt

1 tsp = ____ fl drams = ____ mL

1 fl dram; 5 mL

1 tbsp = ____ fl drams = ____ mL

4 fl drams; 15 or 16 mL

1 cubic cm= ____ drams = ____ mL

0.271 drams; 1 mL

1 oz = ____ drams

16 drams

1 lb= ____ oz

16 oz

1 tn= ____ lbs

2,000 lbs

how do you calculate the sum of the interior angles of a polygon?

(n-2) x 180 where n= # of sides

area of a triangle

A= 1/2bh

trapezoid - area of a trapezoid

a quadrilateral w at least one pair of parallel sides - A= 1/2h (b1 + b2)

isosceles trapezoid

a trapezoid w equal base angles

area of a parallelogram

A=bh

rhombus - area of a rhombus - perimeter of a rhombus

a quadrilateral w 4 congruent sides - A= d1d2/2 - P= 2 * sqrt of (d1)^2 + (d2)^2

area of a circle - circumference

A= pi(r^2) - C= 2(pi)r

mean

sum of the data values/quantity of data values

median

value in the middle of a set of ordered data

mode

the data that occurs the greatest number of times in a data set

range

the difference between the greatest and lowest values of the data in the set

describe what a left (negatively) skewed curve looks like - right (positive) skewed?

curve is on the right side of the mean, bigger than the mean - curve is on the left side of the mean, less than the mean

uniform distribution

distribution where there is no distinct peak or variation in the data

histogram

looks like a vertical bar graph. one continuous bar for each range of data, height of each column represents the number of data values within that range

bivariate data

data from 2 diff variables

Things to Know Flashcards

(79 cards)