Respuesta :

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

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