kyle says 20x10^4 is the same as 20000. He reasoned that since he saw 4 as the exponent he should write 4 zeros in his answer. Is Kyle correct?


Doing My Homework

Respuesta :

Consider the expression [tex]20 \times 10^4[/tex].

Kyle solved this expression and got the answer as 20,000. He reasoned that since he saw 4 as the exponent, so he wrote 4 zeros in his answer. Kyle is incorrect.

Consider the expression [tex]10^4[/tex], since there is 4 in the exponent. So, we can write 4 zeros in the answer.

So, [tex]10^4 = 10,000[/tex]

Now, [tex]20 \times 10^4 = 20 \times 10,000[/tex]

= [tex]200,000[/tex]

Therefore,  [tex]200,000[/tex] is the correct answer.

Therefore, Kyle is not correct.