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To write 0.003 857 correct to:
(i) 3 decimal places:
0.003 857 rounded to 3 decimal places is 0.004. When we round to 3 decimal places, we look at the digit in the 4th decimal place, which is 7 in this case. Since 7 is greater than or equal to 5, we round up the 5th decimal place, which changes the 3 to a 4.
(ii) 3 significant figures:
0.003 857 to 3 significant figures is 0.003 86. To determine the significant figures, we start counting from the first non-zero digit. In this case, the first non-zero digit is 3, so we count the 3 and the next two digits (8 and 5) to give us 3 significant figures.
I hope this explanation helps you understand how to write 0.003 857 to 3 decimal places and 3 significant figures. If you have any more questions, feel free to ask!
