Numerical Flashcards

1
Q

NUMBERS

A

-

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2
Q

Ordering- ascending =

A

Increase

Small to big

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3
Q

Ordering - descending =

A

Decrease

Big to small

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4
Q

Composing & decomposing forms?

A

Standard and expanded

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5
Q

Rounding decimals - 3.1416

Ten
Hundredth
Thousandth

A
Ten= 3.1
Hundredth = 3.14 
Thousandath = 3.142 
Ones = 3
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6
Q

Rounding significant numbers

A

Count all numbers asked then round

If have 0’s miss the 0 and count significant numbers after

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7
Q

What u know

A

Addition
Subtraction
Multiplication
Division - the divisor always outside the box

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8
Q

Positive and negative numbers:

A

++=+
+-=-
-+=+
- - = -

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9
Q

Bodmas?

A
Brackets 
Orders (power of roots etc)
Division 
Multiplication 
Addition 
Subtraction
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10
Q

% to decimal ?

A

Decimal \ 100 = percentage
Or move two to the left

8.5%=0.085

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11
Q

% to fraction ?

A

Always do it out of 100 (dependant on how many numbers ) and then simplify if u can

11/100

62.5 = 625/1000 then simplify = 5/8

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12
Q

Decimal to %

A

Decimal x 100 = percent

Move 2 to right and put % sign

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13
Q

Decimal to fraction

A

Decimal / 1

Then multiply both by 10 for every number after decimal point

Simplify and reduce fraction
0.75/1 x 100 = 75/100 = 3/4

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14
Q

Fraction to decimal

A

Do it as normal long division

Top in box and bottom outside

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15
Q

Fraction to percentage

A

Long division x 100 and % sign

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16
Q

Items of a fraction

A

Numerator and denominator

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17
Q

How can you simplify fractions ?

A

Prime numbers

Greatest common factor

18
Q

What are prime numbers?

A

2,3,5,7,11,13,17,19,23,29,31,37

19
Q

What is a greatest common factor?

A

Large no into both numbers of fraction

20
Q

Adding fractions

A

Ensue denominator both the same
If not - multiply denominators
Add too as usual
Simplify

21
Q

PERCENTAGES

22
Q

Different use for perctanges

A

% difference = looking for average
% change = looking for increase or decrease
% error =looking for over value or undervalued

23
Q

What to remember for all different percentage methods

Steps 1

A
  1. Subtract values from one another first
24
Q

Step 2 for percentage methods

A

% change = divide by old value
% error = divide by exact value
% difference = divide by average of values

25
Step 3 for percentage methods?
% change = + is an increase , - is a decrease % error = ignore minus sign but if you do have one keep if u want to know value over or under % difference = ignore minus sign not important
26
Step 4
Always convert to % = x 100 and add sign
27
Format for % change
New value - old value / old value x 100 to see percentage increase Or New / old
28
Something to note for percentage change
If the new figure is greater than old - you are looking at the percentage increase If the old figure is greater than the new - you are looking for the percentage decrease
29
% decrease?
Old - new/ old x 100
30
How to find the average normally
Values / amount of values there
31
Format for % difference?
1st value -2nd value / 1st value - 2nd value / 2 x 100
32
Format for % error
Approx value - exact value / exact value x 100 Use sign to see if over or under if needed
33
How to find increase and decrease in a value ? Not same as percentage increase or decrease
Decimal x value E.g 0.25 x 120 = 30 Then either plus or minus from the original value Or For increase = 1.115 to be quick x the figure
34
Finding a percentage amount of a cost that already exists? Finding percentage amount within this figure
Value / decimal E.g 15% of 180 180/ 0.15 Or 15x 180 / 100
35
Finding percentage amount - other half that already exists
E.g 56/100 = 10,120 1- 0.56 = 0.44 10,120 / 0.44 = finds the amount within this figure
36
Simply finding the percentage of values only Values as a percentage
Smaller Value / bigger value
37
Square roots ?
1,4,9,16,25,36,49,64,81,100,121,144,
38
Ratios?
Have the ratio Simplify it Ratio can change into a fraction too
39
1 ration into the amount needed
You times the ratio of 1 amount by the amount needed and simplify
40
Part to part ratio | Part to whole
Boys : 2:3 | All : 2:5