The Correct Answer and Explanation is:
Based on standard estimation practices, the correct approximate answer is 250,000.
Explanation
The problem asks for an approximation of the product of 479 and 513. The symbol “≈” signifies “approximately equal to,” which means we should find a close estimate rather than the exact answer. The most common and practical method for estimating a product like this is to round the numbers to a convenient place value, such as the nearest hundred.
First, we round the number 479 to the nearest hundred. To do this, we look at the digit in the tens place, which is 7. Since the rule of rounding states that if this digit is 5 or greater, we round up the hundreds digit, 479 becomes 500.
Next, we round the number 513 to the nearest hundred. We look at its tens digit, which is 1. Since this digit is less than 5, we keep the hundreds digit the same and drop the remaining digits. Therefore, 513 rounds down to 500.
Now that we have our rounded numbers, the original problem of 479 × 513 becomes a much simpler calculation: 500 × 500.
To solve 500 × 500, you can multiply the leading digits (5 × 5 = 25) and then add the total number of zeros from both numbers to the end of the result. Since there are two zeros in the first 500 and two zeros in the second 500, we add a total of four zeros. This gives us an estimated product of 250,000.
This estimation provides a quick and reasonably accurate answer. For comparison, the exact product of 479 × 513 is 245,727. Our estimate of 250,000 is very close to the actual result, making it a reliable approximation and the most likely correct choice among the unlisted answers.
