Evaluate (2.1 x 10^4) + (5.68 x 10^-2)Express the result in standard form.
Can you explain your steps? I don't understand how to solve this with the negative 2
2 answers
21000 + .0568
When something is raised to a negative power, (in this case 10 raised to -2), it means you have to take the reciprocal of the given number and then raise it to the positive power.
For example,
10^-2 = (1/10)^2 = (1/100) = 0.01
2^-4 = (1/2)^4 = 1/16
In this question,
(2.1 x 10^4) + (5.68 x 10^-2)
= 21000 + 0.0568
= 21000.0568
The second number is really tiny compared to the first, so you could still note it as 2.1 x 10^4. If you'd like to be more precise, you have your answer (21000.0568) which can be converted to standard form.
For example,
10^-2 = (1/10)^2 = (1/100) = 0.01
2^-4 = (1/2)^4 = 1/16
In this question,
(2.1 x 10^4) + (5.68 x 10^-2)
= 21000 + 0.0568
= 21000.0568
The second number is really tiny compared to the first, so you could still note it as 2.1 x 10^4. If you'd like to be more precise, you have your answer (21000.0568) which can be converted to standard form.
0 answers