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the product on multiplying - 4bc with 2a is - 8abc that is a term with minus sign multiplied with a term having a positive term gives a product which
the product of -7ab and 3ab is -7 x 3 a2 b2 -21a2 b2 in other words a term with minus sign when multiplied with a term having a positive
case 1 suppose we have two terms 7ab and 3ab when we multiply these two terms we get 7ab x 3ab 7 x 3 a1 1 b1 1 therefore
in this case the first point we have to remember is that we do not get a single value when we add two or more terms which are unlike in
suppose we are required to find the difference between 3abc and 7abc we look at two scenarios the value we would obtain by subtracting a
case 1 suppose we are given expressions like 3abc and 7abc and asked to compute their sum if this is the case we should not worry much
in arithmetic we deal with numbers in contrast to this in algebra we deal with symbols these symbols are often represented by lower case
example reduce 2436 to its lowest terms 243612186923 in the first step we divide the numerator and the denominator by 2 the
example find the highest common factor of 54 72 and 150first we consider 54 and 72 the hcf for these two quantities is calculated as
we know that a factor is a quantity which divides the given quantity without leaving any remainder similar to lcm above we can find
at times we consider only the magnitude of the number without attaching much importance to its direction under these circumstances the
intervals which extend indefinitely in both the directions are known as unbounded intervals these are written with the aid of symbols
let a and b be fixed real numbers such that a lt b on a number line the different types of intervals we have arethe open interval
here we look at only the rules without going into their proofs they area lt b if and only if b - a gt 0if a lt b
what inequalities and intervals are if it is given that a real number p is not less than another real number q we understand that either
all the number sets we have seen above put together comprise the real numbers real numbers are also inadequate in the sense that it does
the set of whole numbers also does not satisfy all our requirements as on observation we find that it does not include negative numbers
observe that natural numbers do not have a zero this shortcoming is made good when we consider the set of whole numbers the
to begin with we have counting numbers these numbers are also known as natural numbers and are denoted by a symbol n these
we know that one has to deal with numbers in day-to-day life irrespective of his inclination and field of work also one
i figured out the volume and the width but i have no idea how to use that information to get the height and the
1 which of the following is greater than 43 x 109 a 21 x 109 b 32 x 109 c 53 x 109 d 74 x 108 2 which of
mr ouma bought two sets of ners for sh 300per set two machanic vice at sh 1000each three set of screw driver at sh 115 per set and tool box for
the limit of fx as x approaches 5 is equal to 7 write the definition of limit as it applies to f at this