123456789 Josh Griff
The number whose farthest right significant digit determines it. Whatever place that digit is in is the last significant digit in the sum. For example: 433 + 150 + 3.67 + 8000 = 8586.67, but in sig figs this is only 9000, as the thousands digit is the lowest digit that can be represented.
All digits are significant in this case. Any digit after a decimal point is a significant digit.
The 7
It is the digit 2
Three significant figures. The two zeroes after the digit 5 are irrelevant.
It is 124.68 rounded to 5 significant figures
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.
Accurately known digits along with first doubtful digit are called significant figures.
Starting at the second digit after the decimal, if it is between 0 and 4, you round the first digit down. If it is between 5 and 9, you round it up. If the third digit is between 0 and 4, you round the second digit down. If it is between 5 and 9, you round the second digit up. Rounded to.......... 1 signifcant figure: .3 2 significant figures: .29 3 significant figures: .294 4 significant figures: .2943 5 significant figures: .29430
Every digit in 40.725 is significant, so there are 5
If you are rounding a 4 digit number to 3 significant figures, then you're rounding to the nearest ten. The 4th digit is 7, so since this digit is >= 5, you should round up the 3rd digit. 1467 becomes 1470. In scientific notation you would express this as 1.47 x 103 to make it clear that there are only 3 significant figures.
2 significant figures.