Write 9,085,000,000,000 in scientific notation. Show your work.
9,085,000,000,000 in scientific notation is written as 9.085 × 10^12.
To convert a number to scientific notation, we need to move the decimal point to the right or left so that there is only one digit to the left of the decimal point. In this case, we need to move the decimal point 12 places to the left.
Starting with 9,085,000,000,000, we move the decimal point 12 places to the left: 9,085,000,000,000.0
Since we are left with 9.085 and moved the decimal point 12 places to the left, we can write the number in scientific notation as 9.085 × 10^12.
To write 9,085,000,000,000 in scientific notation, we need to express the number as a product of a decimal between 1 and 10 (inclusive) and a power of 10. Here's how to do it:
Step 1: Count the number of zeros in the original number. In this case, there are 12 zeros.
Step 2: Determine the decimal number by moving the decimal point to the left or right until it is positioned between 1 and 10. Since there are 12 zeros, we need to move the decimal point 12 places to the left.
9,085,000,000,000 becomes 0.9085 when it's shifted 12 places to the left.
Step 3: Express the power of 10. Since we moved the decimal point to the left 12 times, the exponent of the power of 10 is -12.
Therefore, 9,085,000,000,000 in scientific notation is written as 9.085 x 10^-12.
To express 9,085,000,000,000 in scientific notation, we need to move the decimal point so that there is only one non-zero digit to the left of it.
Starting with 9,085,000,000,000, we move the decimal point 12 places to the left, since there are 12 zeros at the end of the number.
9,085,000,000,000 becomes 9.085 × 10^12 in scientific notation.
Here's the work:
9,085,000,000,000 = 9.085 × 10^12