Question

Now consider the expression 4.0×103+4×102. determine the values of a and k when the value of this expression is written in scientific notation.

Answer 1

The values of ''a'' and ''k'' are :

`a=4.4`

`k=3`

Explanation:

If we want to write a number in scientific notation we can write it as :

`a.(10)^(k)` (I)

Where ''a'' is a real number and :

`1\leq a<10`

Where ''k'' is an integer number.

The first step is to find the value of the expression.

The expression is :

`4.(10)^(3)+4.(10)^(2)` ⇒

`4.(10)^(3)+4.(10)^(2)=4000+400=4400`

We need to write the number ''4400'' in scientific notation.

We can write it as :

`4400=(4.4).(10)^(3)`

If we compare this final expression with (I) ⇒

`a=4.4`

`k=3`

Answer 2

Let`s say that the expression is written in the form:a * 10^k.4 * 10^3 + 4 * 10^2 = = 4 * 10 * 10^2 + 4 * 10^2 = = 40 * 10^2 + 4 * 10^2 = = 44 * 10^2 = 4.4 * 10^3.Answer:a = 4.4 and k = 3 and the expression in the scientific notation is:4.4 * 10^3.