9.3 x 10^7 - 10^10
To perform the subtraction, we need to convert both numbers to the same power of 10.
9.3 x 10^7 can be written as 93 x 10^6 (by moving the decimal point one place to the left).
Now we can subtract:
93 x 10^6 - 10^10 = 93,000,000 - 10,000,000,000
Performing the subtraction gives us:
-9,906,700,000
To subtract two numbers in scientific notation, we must have the same exponent. Let's rewrite the second number in scientific notation with an exponent of 7.
10^10 can be written as 10^7 × 10^3 since 10^10 = 10^7 × 10^3.
Now we can subtract the numbers:
9.3 × 10^7 - (10^7 × 10^3)
To simplify, we'll combine the coefficients:
9.3 - 1 × 10^3
Since the exponents are the same, the coefficients can be directly subtracted:
9.3 - 1 = 8.3
The result is 8.3 × 10^7.
To subtract 9.3 x 10^7 - 10^10, we need to align the exponents and subtract the coefficients.
Step 1: Align the exponents:
Since 9.3 x 10^7 is already in scientific notation, we can leave it as is.
To represent 10^10 in scientific notation, we need to move the decimal point 10 places to the right, which results in 1 x 10^10.
Step 2: Subtract the coefficients:
9.3 - 1 = 8.3.
Step 3: Keep the common exponent:
The common exponent in scientific notation is 7, so the result is:
8.3 x 10^7.
Therefore, 9.3 x 10^7 - 10^10 = 8.3 x 10^7.