Karteikarten
Math Chapter 1 Numbers
Karten in diesem Stapel (34)
- 1Natural Numberspositive whole numbers/integers
- 2Integers'whole numbers' They can be positive or negative (with zero in between)
- 3Prime numbersHave only 2 different factors = 1 and itself.
- 4Need to know how to express a number as the product of prime factors, cube numbers and square numbersu know
- 5Rational NumberA number which can be expressed int eh form p/q where p and q are whole numbers.
decimals which terminate or recur are rational. - 6Irrational NumberA number which cannot be expressed in the form p/q where p and q are integers. They are non repeating, non terminating decimals id pie, square root of 7...
- 7Real NumberAny rational or irrational number that can be represented on a number line. - all numbers except imaginative numbers.
- 8What does HCF stand for?Highest Common Factor
- 9What does LCM stand for?Lowest Common Multiple
- 10How do you find the reciprocal of a number/fraction? What is a reciprocal?Reciprocal - One over the number. ie the reciprocal of 4 is 1/4. Reciprocal of n is 1/n
Reciprocal of a fraction you just flip it over. ie 2/3 becomes 3/2 - 11How to find the LCM and HCF?HCF - biggest number that divides into each. - find prime factors - those that connect or on calculator fact.
LCM - ie 3 and 5 would be 15 find multiples then see when cross over. - 12SetA collection of items
May be numbers, people, letters...
use curly brackets to represent sets
Contains elements amount shown as
ie n(P) = 4 - 13Give all the set notations 11
- 14What is the equivalent decimal and percentage of a a fraction of 1/5?0.2
20% - 15How do you convert 0.12 recuring 12 into a fraction in its simplest form Recuring decimalsx = 0.1212
100x = 12.1212
100x - x = 12.1212... - 0.1212...
99x = 12
x = 12/99 = 4/33 - 16Multiply a fraction Divide a fraction Subtract and add fractionsTimes - denominators together and numerators together in row
Divide - flip one side then times
Subtract and add put denominator the same then add or subtract. - 17multiply and divide, power indices say and then write lawsMultiply - add indices
divide - subtract indices
power - multiply indices
am * an = am+n
am / an = am-n
(am)n = amn - 18What does a0 =? a-1? a-n? a1/2 = a1/n? am/na0 = 1
a-1 = 1/a
a-n = 1/an
a1/2 = square root a
a1/n = n square root a
am/n = n square root am = (n square root a) m - 19standard formbidmas
brackets indicies (division multicplication) (addition subtraction) - 20How do you find the upper bound for +, - , * , /?add UB + UB
sub UB - LB
Multi UB * UB
div UB / LV - 21How do you find the lower bound for +, - , * , /?add LB + LB
Sub LB-UB
Multi LB * LB
Div LB / UB - 22ratios incraes $30 in the ration 5:4 decrease 54 kg in the ration 5:95/4 = x/30
x = 30* 5/4 = 37.50
5/9 = x/54
x = 54*5/9 = 30kg - 23s = d/t a 90 litre tank is filled full of water in 2 minutes and 15 seconds. What is the rate of flow in liters per minute of the water into the tank?2 minutes and 15 sec = 2.25 minutes
90/2.25 = 40 liters per minute - 24A road is 1300 meters long and 12% of it requires resurfacing, calculate the length of road that needs resurfacing1300 * 0.12
=156 meters - 25How do you calculate the percentage increase or decrease? say 23%increase = 1+ multiplier 1+0.23
decrease 1- multiplier 1-0.23 - 26the price of a skirt is reduced by 10% in a sale. if it costs 31.50 in the sale, what was its original price?x * 0.9 = 31.50
x = 31.50/ 0.9 = 35 - 27How do you calculate percentage change?Change / original amount * 100
- 28simple interest Joseph invests $500 at 4% per annum simple interest. How much will he have at the end of the 5 years?4/100 * 500 = 20 per year
20*5 = 100
100+500 = 600 - 29juan ears 45000 per year. He gets a tax free allowance of 8000 and pays tax at a rate of 25% on the next 20000. He then pays tax at a rate of 30% on his remaining income. How much tax does juan pay?45000 - 8000 = 37000
25% of 20000 = 20000 / 4 = 5000
37000 - 20000 = 17000
30% of 17000 = 17000*0.3 = 5100
total tax = 5000+5100 = 10100 - 30What is the formula for compound interest?P(1 + r/100)n
p(percentage multiplier)n - 31What is the formula for exponential growth (or decay)?amount after n time intervals = A * (growth or decay factor)n
- 32A colony of bacteria increases at a rate of 10% per hour. Initially there are 120 bacteria. Calculate the number of bacteria in the colony after 8 hours.numbre of bactera after 8 hours = 120 * 1.1 >8
=257 - 33A radioactive substance decays at a rate of 7% per day. Initally there are 1000 atoms of the substance. Calculate the number of atoms after 5 days.Number of atoms after 5 days = 1000 * 0.93 > 5
=696 - 34Whats the equation for direct proportion and inverse proportiondirect = y=kx
inverse = y = k/x
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- Math Karteikarten am Math Chapter 1 Numbers, erstellt von HRYN red am 15/09/2020.
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