How would you figure out 1.45386759 x 10 to the 12 and round to the significant figure?
thanks
Please explain. One has to know how many significant digits there are before it can be rounded.
ok. Like here in this example...
1.548937075 x 10 to the 12th. Would you do the problem 1.548937075 x 10 to the 12th which would be 1,548,937,075,000 first before you rounded. I think in the number that I got (1,548,937,075,000) there are 10 significant numbers??
sry... 1.548937075 x 10 to the 12th. round the number to 3 significat figures.
If you didn't do the power of 10 and just kept the number 1.548937075 wouldn't it be rounded to 1.55 if it was round to 3 significant numbers?
To figure out 1.45386759 x 10^12 and round to the significant figure, follow these steps:
Step 1: Identify the significant figures in the original number. Significant figures are the digits in a number that carry meaning or contribute to its precision.
In this case, the number is 1.45386759 and it has 10 significant figures.
Step 2: Determine the number of significant figures you want in the final answer. In this case, you want to round to the significant figure, which means you need to consider how many significant figures you want to have in the result.
For example, let's say you want to round to 3 significant figures.
Step 3: Begin rounding by looking at the digit in the next place value (the next digit after the desired significant figure). If the digit is 5 or greater, you round the desired significant figure up by 1. If it is less than 5, you simply drop all the digits after the desired significant figure without changing the significant figure.
In this case, since you want to round to 3 significant figures, you will look at the fourth digit after the decimal point, which is 6.
Step 4: Determine whether to round up or not. Since the next digit after the desired significant figure is 6 (greater than or equal to 5), you round up the desired significant figure.
Step 5: Adjust the desired significant figure and drop all the digits after it. In this case, you will adjust the desired significant figure (the third significant figure) by rounding up.
The result will be 1.45 x 10^12, rounded to 3 significant figures.