Question

What is the difference between the coefficient and the exponent (or power) in scientific

notation for the example 2.563 x 10^5? Use complete sentences and academic language in
your answer. How would your response be different if the example was 2.563 x 10-5?

Answer 1

The coefficient is 2.563 and the exponent is +5 in scientific notation.

Step-by-step explanation:

Given that,

The example of scientific notation is given by

`2.563*10^(5)`

We know that,

Scientific notation :

If a number write in scientific notation then the exponent term shows the number is large and number is small.

If exponent term is positive then the number will be large.

If exponent term is negative then the number will be small.

We can write a positive number in scientific notation,

`a*10^(n)`

Where, a = coefficient

n = integer

We need to find the difference between the coefficient and the exponent

According to given data,

`2,563*10^(5)`

On comparing of general equation of scientific notation

`a*10^(n)`

Here, coefficient = 2.563

integer = +5

Hence, The coefficient is 2.563 and the exponent is +5 in scientific notation.