Answer:
The product of the two numbers is 2.33* 10^13
Explanation:
Given
4.31x10⁷ and 5.41x10⁵
Required
Multiply
The multiplication of the two digits is represented as thus:
[tex]Result = 4.31 * 10^7 * 5.41 * 10^5[/tex]
This can also be rewritten as
[tex]Result = 4.31 * 5.41 * 10^7 * 10^5[/tex]
Multiply 4.31 and 5.41
[tex]Result = 23.3171 * 10^7 * 10^5[/tex]
Apply laws of indices
[tex]Result = 23.3171 * 10^{7+5}[/tex]
[tex]Result = 23.3171 * 10^{12}[/tex]
The scientific notation is always in the form: [tex]a * 10^n[/tex]
Where [tex]1 \leq\ a \leq 10[/tex]
So:
23.3171 can be rewritten as 2.33171 * 10
So, we have:
[tex]Result = 2.33171 * 10* 10^{12}[/tex]
Also, apply law of indices again
[tex]Result = 2.33171 * 10^{1+12}[/tex]
[tex]Result = 2.33171 * 10^{13}[/tex]
It's always advisable (but not compulsory to approximate to 1 or 2 decimal places)
So:
[tex]Result = 2.33* 10^{13}[/tex]
Hence; the product of the two numbers is 2.33* 10^13