Saturday, 2 June 2012

Algebraic Expression

Expressions in Mathematics means numbers combined with the mathematical operations, viz.,+,-,* and / .For example: 2*8, 6/15, 3+5, 7–2 are mathematical expressions.
Now, since algebra involves the use of letters of English alphabets with numbers as values; so Algebraic Expression means that the values represented by letters as well as numbers are brought together with the help of different mathematical operators. e.g., g + ½ v,5–2t,6y+8, d/t are few algebraic expressions.
Let us learn to understand the given algebraic expressions. In algebraic expressions, add, subtract & divide are represented in their usual form with the help of symbols they add denoted by; i.e.,+,-, / are used for add, subtract, divide respectively; but for multiplication, we should that if a variable is to be multiplied by  another  variable or even a number, the multiplication sign is omitted in between them, e.g., to multiply 3 & s, we write 3s or for p*q, we write pq; similarly,7xy means 7*x*y.
Next, we must know how to write Algebraic Expression. Before starting writing algebraic expressions, we must recall the terms associated with the four mathematical operations. Addition means add, sum, increase, more than, etc. Subtraction means less, reduced, difference, decrease, etc. Multiply means times, product & divide also means quotient, equally distributed, division.
We need to read the statement carefully, especially when it is related to subtraction or division because we know that addition & multiplication are commutative as well as associative, i.e., the sequence of numbers to be added or multiplied does not make a difference in both of them. But it does make a lot of difference in subtraction & division. e.g., 3 subtracted from the product of 7&p. We will read the statement in pieces. 3 subtracted from means we have to subtract 3 , thus -3 for it; the product of 7&p means 7p. Thus, the expression is 7p-3.Whereas subtract 7p from 3 means 3-7p.Also we should be particular about putting brackets, as 3x subtracted from the sum of 8&y means addition is to be done first. Thus, the expression will be (8+y)-3x.
For help on gcf calculator & ICSE books for class 9 visit different sites online.

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