Multiplication is the process of multiplying. The number of significant digits that the product will have is 9.
What is multiplication?
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The product of the given numbers can be found as shown below.
4.514 × 10⁻³ × 3.09 × 10⁷ × 2.80 × 10³
4.514 × 3.09 × 2.80 × 10⁽⁻³⁺⁷⁺³⁾
= 39.055128 × 10⁽⁻³⁺⁷⁺³⁾
= 39.055128 × 10⁷
= 3.9055 × 10⁸
Since the 10 has a power of 8 while the digit '3' is before the decimal. Therefore, the total number of significant digits is 9 (8+1).
Hence, the number of significant digits that the product will have is 9.
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