What is the difference between "two decimal places" and "two significant digits". Explain.
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Answer:
=>“Two decimal places”:
it is the same as “the nearest hundredth”, for example, if you are asked to round 3.264 to two decimal places it means the same as if your are asked to round 3.264 to the nearest hundredth. Some questions, like the example below, will ask you to “show your answer correct to two decimal places."
The first significant figure of a number is the first digit which is not zero. Hence the first significant figure of 20,499 is 2 and the first significant figure of 0.0020499 is 2. The second significant figure of a number is the digit after the first significant figure. This is true even if the digit is zero.
=>"The second significant digit":
a number is the digit after the first significant figure. This is true even if the digit is zero. Hence the second significant figure of 20,499 is 0, as is the second significant figure of 0.0020499
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Answer:
The number of decimal places is the number of digits to the right of the decimal point, while the number of significant digits is the number of all digits ignoring the decimal point, and ignoring all leading zeros and some trailing zeros
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