Remember: LEFT-zeroes are NEVER significant, while MIDDLE- and RIGHT-zeroes are:
So the answer is 0.00474,
because the 8 (in 0.004738265) is the 4th significant number
thus ...4738... is rounded to ...474
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what is the round off of 124.36?
Significant figures communicate how carefully a measurement is made. You could round it
Count the significant figures in each number. Calculate the minimum of these numbers. Do the multiplication Round the product to the LEAST number of significant figures, determined above.
When multiplying, the number of significant numbers in the answer should be the same as the fewest significant figures in the problem. Both 13.5 and 3.00 have three significant figures, so the answer will have three significant figures. 13.5 x 3.00 = 40.5 exactly (no need to round).
There doesn't always have to be two numbers after the decimal. If you are asked to round to the nearest hundreth, then use two places after the decimal. If you are asked to round to the nearest thousandth, then use 3 places after the decimal. If you are asked to round to the nearest tenth, then use 1 place after the decimal. If you are not told where to round, then it is up to you. One common way of doing it is to use significant figures. In other words, if you are dividing two numbers to get a decimal; count the number of significant figures in the divisor and the dividend. Whichever one has the least number of significant figures, use that number of significant figures in your answer. For example: 30.5 / 1.3456789 30.5 has the least number of significant figures; so use 3 significant figures in your answer. Answer: 22.7 If you are working with money, then always use two numbers after the decimal. For example: Add $30.15 + $201.25 Answer: $231.40