Question

Express 0.03076 to three significant figures. (a)0.030 (b)0.0307 (c)0.0308 (d) 0.308

Answer 1

right is c. 0.0308
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Answer 2

The given question is Express 0.03076 to three significant figures. (a)0.030 (b)0.0307 (c)0.0308 (d) 0.308

• In general the significant figures of a number in positional notation are digits in the number that are reliable and necessary to indicate the quantity of something.
• The significant figure is used to show how precise a number is.
• There are three rules to determine the significant figure of a given number.
• 1.Non zero digits were always significant.
• 2.Any Zeroes that present in between two significant digits are also said to be significant.
• 3.A final zero are also said to be trailing zeros in the decimal portion are only a significant digits.
• The decimal place is defined as the number of digits that present in the right of the decimal point
• while the no of significant significant digits is the no. of all digits ignoring the decimal point, ignoring all leading zeroes and some trailing zeroes.
• Based on the above rules, the number 0.03076 can be expressed to three significant figures by .
• The significant numbers are 3076 they had given that only 3 so 6 is ignored.
• then we have upto 7 , 6>5 so add 1 to the number 7 we get 308 .
• Therefore, the final answer will be option (c) 0.0308.

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