Answer:
416 (3 s.f.)
Step-by-step explanation:
To multiply decimals, begin by multiplying the numbers as if there is no decimal:
[tex]\large\begin{array}{cccccc}&& 1 & 2 & 8 & 5\\\times && & 3 &2 & 4\\\cline{1-6} && 5 & 1 & 4 & 0\\&2&5&7&0&0\\3&8&5&5&0&0\\\cline{1-6}4&1&6&3&4&0\\\cline{1-6}^1&^1&^1&&\phantom{^{\frac{1}{2}}}&\end{array}[/tex]
Count the number of digits after the decimal point in each factor:
- 128.5 → 1 digit after the decimal point.
- 3.24 → 2 digits after the decimal point.
Therefore, there is a total of 3 digits after the decimal points.
Put the same number of digits after the decimal point in the product.
Therefore, the solution is to the multiplication is:
The factor with the fewest signification figures is 3.24.
This number has 3 significant figures.
Therefore, the solution to 3 significant figures is:
