QuestionIn chemistry class, Carlos calculated the number of molecules in 100 moles. The calculator displayed the number 6.02E25. What is the number of molecules in 100 moles in scientific notation
The number of molecules in 100 moles is 6.02E25 in scientific notation.
To express the number of molecules in 100 moles in scientific notation, follow these steps:
Step 1: Write down the number 6.02E25. This is already in scientific notation form.
Step 2: Understand the value of the exponent. In scientific notation, the exponent (here, 25) represents the number of places you move the decimal point to the right to obtain the actual number.
Step 3: Calculate the actual number. In this case, you need to move the decimal point 25 places to the right. Since there are 6.02 digits before the decimal point, add zeros as needed to reach 25 places. The actual number is 602,000,000,000,000,000,000,000.
Step 4: Write the actual number in scientific notation. The decimal point should be placed after the first non-zero digit, in this case, after the 6. The number of digits remaining after the decimal point determines the exponent. In this case, you have 25 digits remaining after the decimal point.
Therefore, the number of molecules in 100 moles in scientific notation is 6.02 x 10^25.
To write the number in scientific notation, we need to move the decimal point after the first non-zero digit and multiply it by the appropriate power of 10.
In this case, the number of molecules in 100 moles is 6.02 × 10^25 in scientific notation.