Express your answer in scientific notation.
8.3 x 10^9 - 2.1 x 10^7 (1 point)
-8.279 x 10^9
6.20 x 10^2
8.279 x 10^9
-6.20 x 10^2
8.278 x 10^9
To express the given expression in scientific notation, we need to subtract the second term from the first term.
First, let's subtract the numerical parts: 8.3 - 2.1 = 6.2.
Next, we need to determine the power of 10. Since both terms have a power of 10, we will keep the power of 10 the same.
Finally, we can express the result in scientific notation:
6.2 x 10^9
So, the correct answer is 6.2 x 10^9.
To subtract the given numbers in scientific notation, we need to ensure that the exponents are the same.
8.3 x 10^9 - 2.1 x 10^7
First, we need to adjust the second number to match the exponent of the first number. To do this, we move the decimal point two places to the right:
2.1 x 10^7 = 21 x 10^6 = 210 x 10^5 = 2100 x 10^4 = 21000 x 10^3 = 210000 x 10^2
Now, we can subtract the numbers:
8.3 x 10^9 - 2.1 x 10^7 = 8.3 x 10^9 - 210000 x 10^2
Simplifying further:
8.3 x 10^9 - 210000 x 10^2 = (8.3 - 210000) x 10^9 x 10^2
= -209991.7 x 10^9 x 10^2
Combining the exponents:
-209991.7 x 10^9 x 10^2 = -209991.7 x 10^(9+2)
= -209991.7 x 10^11
Expressing the result in scientific notation:
-209991.7 x 10^11