when 51.8 and 67.5 are multiplied, the product has three significant figures, and when 51.8 and 67.5 are added, the sum has three significant figures.
The significant figures in multiplying 51.8 and 67.5:
51.8 × 67.5 = 3496.5 = 3.50 × 10^3
Now according to the rules of significant figures
All non-zero numbers and trailing zeros to the right of the decimal are significant. But 10 and power of ten like in this case its 3 are not significant. So the product has three significant figures.
The significant figures in adding 51.8 and 67.5:
51.8 + 67.5 = 119.5
Now, according to the rules of significant figures, all non-zero digits are significant figures. So the sum has 4 significant figures.
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