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# Popular Questions - Algebra

## Is ##1/3## a rational, irrational number, natural, whole or integer?

##1/3## is a rational number, being a number of the form ##p/q## where ##p## and ##q## are integers and ##q != 0##. It is not a natural number, whole number or integer. Numbers can be classified as...

## How many milliseconds are in 6.7 seconds?

##6700## milliseconds in ##6.7## seconds The word milli stands for thousandth of unit. As such millisecond is one-thousandth of a second. Hence there are ##1000## milliseconds in each second and...

## What is the quotient of 3/4 divided by 2/3?

##color(red)((3/4)/(2/3) = 9/8)## ##(3/4)/(2/3) = “?”## Multiply the numerator by the reciprocal of the denominator. ##(3/4)/(2/3) = 3/4 × 3/2 = (3×3)/(4×2)## ##(3/4)/(2/3) =...

## What is the common ratio for this geometric sequence ?

6 The ##n^(th)## term of a geometric sequence is generated by: ##a_n = a_”n-1″ xx r## Where r is the common ratio In this example: ##a_0 = 4## ##a_1 = 24 = a_0 xx 6## ##a_2 = 144 = a_1...

## How do you find the square root of the fraction 64/100?

Have a look: You can write: ##sqrt(64/100)=sqrt(64)/sqrt(100)=## and solve the two (exact) roots separately! So you get: ##8/10=4/5##

## If ##a^2 + b^2 = 4## and ##(a-b)^2 =2##, what is the value of ##ab##?

1 Given : ##a^2 + b^2 =4##…….1 ##(a-b)^2=2##…..2 First expand the 2 equation : ##(a-b)^2=2## ##a^2-2ab+b^2=2## ##a^2+b^2-2ab=2##……..3 put 1 equation into 3 equation :...