you calculate the area of a 150 m x 100.0 m room. How many significance figures should your answer include ?
a) 1
b) 2
c) 3
d) 4
ya ive seen responses from 2007
the 150 m has just two significant figures.
Holy crap that was 6 years ago and there still using that question
Still being used in 2020 🙄🤚
I'm confused whats the answer
To calculate the area of a rectangular room, you need to multiply its length by its width.
In this case, the length is given as 150 m and the width as 100.0 m.
Multiplying 150 m by 100.0 m, we get an area of 15,000 m².
Now, let's determine the number of significant figures in the given values.
The rules for significant figures state that:
1. All non-zero digits are significant. In this case, both 150 and 100.0 are non-zero digits, so they contribute to the significant figures.
2. Any zeros between significant digits are themselves significant. In this case, there are no zeros between significant digits.
3. Leading zeros (zeros before the first non-zero digit) are not significant. In this case, there are no leading zeros.
4. Trailing zeros (zeros to the right of non-zero digits, after any decimal point) are significant. In this case, the trailing zero in 100.0 is significant.
Therefore, the number of significant figures in the given values is:
150 m: 3 significant figures
100.0 m: 4 significant figures
When multiplying or dividing values, the result should be rounded to the lowest number of significant figures among the values being multiplied or divided.
In this case, the lowest number of significant figures is 3 (150 m).
Therefore, the answer to the question is:
c) 3 significant figures