Question

The order of magnitude of 220 will be
(1) 3
(2) 4
(4) 6
(3) 5​

Answer 1

The order of magnitude of 220 will be 3.

Explanation:

• The order of magnitude is basically the value of the no. of digits that a particular number has based on the base 10 number system.

• This is usually written 10 to the power of n where n is the order of magnitude.

• The order of magnitude can be raised or decreased depending on the values of n.

• For example, if n = 1 i.e., the order of magnitude is increased by 1 then basically we are multiplying the given number by 10 and if n = -1 i.e., the order of magnitude is decreased by 1 then basically we are multiplying the given number by 0.1.  

We are given the number 220 in the question and we have to find the order of magnitude for it based on the formula as given below,

N = a * 10ⁿ

Therefore,  

220 can be represented as,

= 0.220 x 10³

Here we have just converted 220 in power of 10.  And the power of 10 is 3 in this case.

Thus, the order of magnitude of 220 will be option (1): 3 .

Hope this is helpful!!!!!