What is the value of the expression in standard form?
(4.8×108)(2.2×10−6)(1.2×104)
(2 points)
Responses
0.0058
0.0058
0.00088
0.00088
0.58
0.58
0.088
To simplify the expression, we can multiply the numbers outside of the powers of 10:
(4.8 * 2.2 * 1.2) = 12.672
Next, we multiply the powers of 10 by adding the exponents:
10^8 * 10^(-6) * 10^4 = 10^(8 - 6 + 4) = 10^6
Combining the two results, we get:
12.672 * 10^6 = 12,672,000
Therefore, the value of the expression in standard form is 12,672,000.
0.0058
0.0058
0.00088
0.00088
0.58
0.58
0.088
I apologize for the confusion. Let's calculate the value of the expression correctly:
(4.8×10^8)(2.2×10^(-6))(1.2×10^4)
To calculate the values in the parentheses, we multiply the numbers outside the powers of 10:
(4.8 * 2.2 * 1.2) = 12.672
Next, we multiply the powers of 10 by adding the exponents:
10^8 * 10^(-6) * 10^4 = 10^(8 - 6 + 4) = 10^6
Combining the two results, we get:
12.672 * 10^6 = 12,672,000
Converting this value into standard form, we move the decimal point 6 places to the right:
12,672,000 = 1.2672 * 10^7
Therefore, the value of the expression in standard form is 1.2672 * 10^7.
So, the correct answer from the given options is:
0.0058