To solve the math problem, we first need to understand the operation required. The problem statement is "14.13 * 294.35", which involves multiplication.
Multiplication Process
The multiplication of two decimal numbers involves multiplying them as if they were whole numbers and then placing the decimal point in the product. The total number of decimal places in the product will be the sum of the decimal places in the two factors.
Step-by-Step Calculation
First, we multiply 14.13 by 294.35.
14.13 * 100 = 1413
294.35 * 100 = 29435
Now, we multiply these whole numbers:
1413 * 29435 = 41555155
Since 14.13 has 2 decimal places and 294.35 has 2 decimal places, the product will have 2 + 2 = 4 decimal places.
| Factor 1 | Factor 2 | Product |
|---|---|---|
| 14.13 | 294.35 | 4155.5155 |
Final Answer
The result of multiplying 14.13 by 294.35 is 4155.5155.
What is the significance of counting decimal places in multiplication?
+Counting decimal places is crucial in decimal multiplication to ensure the final product is accurate and the decimal point is correctly placed, reflecting the actual value of the product.
In summary, solving the math problem “14.13 * 294.35” requires careful attention to the placement of the decimal point, ensuring the final product accurately represents the result of the multiplication operation.
