Question

Select all of the values that have exactly 3 significant digits.

Answer 1

All the values with exactly three significant digits are: 0.0807, 1990

Significant digits of a number tell us what the actual meaningful representation of a number is. There are certain rules to figure out which digits in a number are significant such as

1. All non-zero digits in any number are significant. Ex: 33.4 has 3 significant digits; 19875 has 5 significant digits.
2. All zeros between two non-zero digits are significant. Ex: 103.0078 has 7 significant digits. 700519 has 6 significant digits.
3. Leading zeros that is all zeros to the left of the first non-zero digit and all zeros to the right of a decimal point are insignificant. 0.00081 has 2 significant digits; 0.547 has 3 significant digits.
4. Zeros to the right of a decimal point are significant if and only if they are not followed by a non-zero digit. Ex; 92.00 and 20.00 both have 4 significant digits.
5. After a decimal point, all zeros after the last non-zero digit are significant. Ex: 0.0079800 has 5 significant digits
6. Trailing zeros are significant in a whole number with a decimal point shown and insignificant if there is no decimal point shown. Ex: 540. has 3 significant digits while 540 has 2 significant digits.

Thus the numbers with 3 significant digits are: 0.0807, 1990

Problem on significant figures.

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