The rules for identifying significant figures when writing or interpreting numbers are as follows:
All non-zero digits are considered significant. For example, 91 has two significant figures (9 and 1), while 123.45 has five significant figures (1, 2, 3, 4 and 5).
Zeros appearing anywhere between two non-zero digits are significant. Example: 101.1203 has seven significant figures: 1, 0, 1, 1, 2, 0 and 3.
Leading zeros are not significant. For example, 0.00052 has two significant figures: 5 and 2.
Trailing zeros in a number containing a decimal point are significant. For example, 12.2300 has six significant figures: 1, 2, 2, 3, 0 and 0. The number 0.000122300 still has only six significant figures (the zeros before the 1 are not significant). In addition, 120.00 has five significant figures since it has three trailing zeros.
Because you haven't told us what the measurement is.
To round the number 1127436092 to four significant figures, identify the first four significant digits, which are 1127. The next digit is 4, which is less than 5, so you do not round up. Therefore, the number rounded to four significant figures is 1127000000.
To simplify the expression 656.65 using significant figures, we first identify the significant figures in the number. The digits 6, 5, and 6 are all significant, as is the 6 in the hundredths place, giving us a total of five significant figures. If we were to round this number to three significant figures, it would become 657, as the digit following the third significant figure (the second 6) rounds it up.
To write a number to two significant figures, identify the first two non-zero digits from the left. If there are more digits following these two, round the second digit based on the value of the next digit. For example, for the number 0.00456, the first two significant figures are 4 and 5, so it would be written as 0.0046 when rounded to two significant figures.
3 significant figures.
To determine the number of significant figures in the product of 0.1400, 6.02, and (10^{23}), we need to identify the significant figures in each number. The number 0.1400 has four significant figures, 6.02 has three significant figures, and (10^{23}) has one significant figure (as it is a power of ten). The product will have the same number of significant figures as the term with the least significant figures, which is 6.02 with three significant figures. Therefore, the final product will have three significant figures.
Because you haven't told us what the measurement is.
To round the number 1127436092 to four significant figures, identify the first four significant digits, which are 1127. The next digit is 4, which is less than 5, so you do not round up. Therefore, the number rounded to four significant figures is 1127000000.
To simplify the expression 656.65 using significant figures, we first identify the significant figures in the number. The digits 6, 5, and 6 are all significant, as is the 6 in the hundredths place, giving us a total of five significant figures. If we were to round this number to three significant figures, it would become 657, as the digit following the third significant figure (the second 6) rounds it up.
4 significant figures.
There are 4 significant figures in 0.0032. Seems to be only 2 significant figures in this number.
When rounding 5.05 to two significant figures, we first identify the two most significant digits, which are the 5 and the 0. The digit following the last significant digit is 5, which is equal to or greater than 5, so we round the last significant digit up by 1. Therefore, 5.05 rounded to two significant figures is 5.1.
There are 3 significant figures in 94.2.
To convert the number 0.004758 to three significant figures, we need to round it off appropriately. Identify the significant figures: The given number, 0.004758, has 5 significant figures. Determine the significant figures based on the three most significant digits: The three most significant digits in 0.004758 are 4, 7, and 5. Round the number: Look at the digit immediately after the third significant figure, which is 7. Since 7 is 5 or greater, we round up the third significant figure (5). Apply rounding: The number rounded to three significant figures is 0.00476. Therefore, 0.004758 rounded to three significant figures is **0.00476**.
To write a number to two significant figures, identify the first two non-zero digits from the left. If there are more digits following these two, round the second digit based on the value of the next digit. For example, for the number 0.00456, the first two significant figures are 4 and 5, so it would be written as 0.0046 when rounded to two significant figures.
There are four significant figures in 0.1111.
4 significant figures.