You are solving a measurement problem where the numbers 4.514 x 10−3, 3.09 x 107, and 2.80 x 103 are multiplied. How many significant digits should the product have?

Answers

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.

if you are multiplying, then the number of significant digits should be the number with the least amount of values, in this case, it is 2.80 and 3.09, thus the answer is 3 significant digits

Multiplicationis the process of multiplying. Thenumberof significantdigitsthat the product will have is 9.## What is multiplication?

Multiplicationis the process ofmultiplying, therefore, adding a number to itself for the number oftimesstated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for theothernumber.productof the givennumberscan be found as shown below.powerof 8 while the digit ‘3’ is before the decimal. Therefore, thetotalnumber ofsignificantdigits is 9 (8+1).numberof significantdigitsthat the product will have is 9.Multiplicationhere:Answer:Step-by-step explanation:3 significant digits