how many significant figures are in:
6.626 times 10 to the 23?
Four: the 6,6,2 an 6. This is true no matter how you adjust the decimal point and the exponent.
To determine the number of significant figures in 6.626 times 10 to the 23rd, follow these steps:
Step 1: Identify the non-zero digits in the number. In this case, there are four non-zero digits: 6, 6, 2, and 6.
Step 2: Count the number of non-zero digits. In this case, there are four non-zero digits.
Step 3: Determine if zeros in the number are significant. Zeros are considered significant if they are between non-zero digits or to the right of a decimal point. In this case, there are no zeros that meet this criteria.
Step 4: Determine if any zeros in the number are leading or trailing zeros. Leading zeros are zeros occurring before any non-zero digit, and trailing zeros are zeros that occur after the last non-zero digit and after a decimal point. In this case, there are no leading or trailing zeros.
Step 5: Calculate the total number of significant figures. In this case, there are four non-zero digits, so the number 6.626 x 10^23 has four significant figures.
To determine the number of significant figures in a given number, follow these steps:
Step 1: Identify all the non-zero digits in the number. In this case, the non-zero digits are 6, 6, 2, and 6.
Step 2: Count all the digits between the first non-zero digit and the last non-zero digit, inclusive of both. In this case, there are four digits: 6, 2, 6, and 6.
Step 3: Add any zeros that are sandwiched between non-zero digits. In this case, there are no zeros in between the non-zero digits.
Step 4: Determine if there are any zeros at the end of the number. Zeros at the end of a number after a decimal point are considered significant. However, zeros at the end of a whole number without a decimal point may or may not be significant. To clarify this, they must be specified with an appropriate decimal point or scientific notation. In this case, since the number is written in scientific notation form (6.626 x 10^23), the zeros after 6.626 are significant.
Based on these steps, there are four significant figures in the number 6.626 x 10^23.