Tuesday 31 January 2012

Powers and repeated multiplication in Grade V

Children we have already studied about the concept of how to solve a rational number, Now we will talk about repeated multiplications of any number and math question related to it.
Let us say 2 * 2 * 2. Here we observe that number 2 is multiplied 3 times.
So this expression can be written as 2 > 3. We call it 2 raised to the power 3. This method of multiplication is called the concept of powers and repeated multiplication and comes under CBSE Board Syllabus.
Suppose we need to find the value of x>n, it means x is to be multiplied n number of times.
So if we write 2> 2 = 2 * 2 = 4
            similarly 3> 2 = 3 * 3 = 9
                          4 > 2  = 4 * 4 = 16
 and if we write 3 > 4 , we call it 3 raised to the power 4
                               = 3 * 3 * 3 * 3
                               = 81
We should also remember while solving powers that any number raised to the power zero is always 1.
so 4> 0 = 1
      5> 0 = 1
and 0 raise to any number is always zero. i.e. 0 > 3 = 0 *0 *0 = 0
Now solve 3 >0  + 2> 0
        As we know  that   any number raised to the power zero is always  1,
so  3 > 0 = 1 and 2 > 0 = 1
Putting these values in the given problem we get
             3 >0  + 2> 0  = 1 + 1 = 2 Ans.
 Similarly solve: 4> 0 * 2 > 0
             As we know  that any number raised to the power zero is always 1,
so  4 > 0 = 1 and 2 > 0 = 1

Putting these values in the given problem we get
             4 >0   *  2> 0  = 1 *  1 = 1 Ans.
This is all about the Powers and repeated multiplication and if anyone want to know about Sampling errors then they can refer to Internet and text books for understanding it more precisely.Read more maths topics of different grades such as Decimals and Place Values in the next session here. 

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