Decimals, Percents, Fractions Flashcards

1
Q

1/10

A

.1…10%

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2
Q

2/10…1/5

A

.2 20%

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3
Q

3/10

A

.3 30%

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4
Q

4/10

A

.4 40%

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5
Q

5/10..1/2

A

.5 50%

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6
Q

1/8

A

.125 12.5%

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7
Q

11/10

A

1.1…110%

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8
Q

12/10…6/5

A

1.2….120%

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9
Q

3/8

A

.375…37.5%

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10
Q

5/8

A

.625 62.5%

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11
Q

7/8

A

.875, 87.5%

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12
Q

10/8..5/4

A

1.25…125%

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13
Q

3/2

A

1.5 10%

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14
Q

62 divided by 10 to -2 power

A

6200

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15
Q

4,000000 x .0003

A

move decimal place four times to the right for to get 3 and move decimal place four places to the left to get 400
=400 x 3

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16
Q

300/.05

A

move decimals in the same direction on the top and bottom 30000/5 = 6,000

17
Q

percent increase

A

To calculate the percentage increase: First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. If your answer is a negative number then this is a percentage decrease.

18
Q

New percent ( as % of original value)

A

new value/original value= 230/200

19
Q

$230 is what percent more than $200

A

this is just like asking what the percent increase is = 40%

change in value/orginal value

20
Q

30 is what percent more than 20

A

asking you to find the increase from 20 to 30

21
Q

slope-intercept equation: y=mx + b

A

m= slope b=y

22
Q

The distance between two points in the coordinate plane can be calculated by using the pythagorean theorem.

A

Fore example: points (1, 3) (7,-5)
side of traingle= 8 and 6
8 squared + 6 squared = c suqared

23
Q

Draw the line represented by x-y=18

A

first rewrite the line in slope intercept form (y=x-18)
2nd fine the intercepts by setting x equal to 0 and y equal to 0.
- y=0-18 x=18
- (0,18) (18,0)

24
Q

of all the quadrilaterals with a given area, the square has the minimum perimeter

A

Of all quadrilaterals with a given perimeter the square has the largest area

25
Q

diagnoa of a square = s square root 2

A

this is also the face diagnoal of a cube.

26
Q

diagnoal of a cube can be found using this formula

A

d=s cubbed

27
Q

if the rectangle above has a width of 6, and the ratio of thw width to the length is 3:4 what is the diagnol

A

3/4=6/x

28
Q

deluxe pythagorean theorem

A

ddsquared=x squared + y squared + z squared

x, y and z are the sides of the rectangular solid and d is the main diagnol

29
Q

one revolution ( spinning of wheel) = one full circumfrance

A

if the wheel has a diameter of 4 ft and travels 3 circumfrance per second then the point travels at a rate of 3 x 4 pie=12pie feet per second.

30
Q

Circumfrence and arc length. what is the arc length of axb

A

first find the cirumfrance then find the fraction of the arc is of the circle

31
Q

the boundaries of a sector of a circle are formed by the arc and two radius

A

add them to find perimeter of circle

32
Q

two circles and a rectangle form a cylinder

A

area of a cylinder = 2(rsquared_ + 2r x h

33
Q

two circles and a rectangle form a cylinder

A

area of a cylinder = 2(rsquared_ + 2r x h

34
Q

find the equation of the line containing the points (5,-2) (3,4)

A

y=-3x+b
solve for by ( they y intercepty, by plugging the coordinates of one point into the equation
–4=-3(3)+b = b=13

35
Q

If the coordinates of point A are (2,2) and the coordinates of point B are (0,-2) what is the equation of the perpendicular bisector of line segment AB

A

first find slope of AB = 2
next find the slope of perpendicular bisector of AB= -1/2
now you know the equation of the perpendicular bi sector has the following form
y= -1/2x + b
to find b find the point where the lines bisect then plug the coordinates of this point into the equation above

36
Q

Parrlelel lines have equal slopes

A

Perpendicular lines have negative reciporical slopes