Final answer:
To estimate the sum of 212,514 and 396,705, each number is rounded to the nearest ten thousand and added together, giving an estimated sum of 610,000. The exact sum, when calculated directly, is 609,219.
Step-by-step explanation:
The student has asked to estimate and then find the sum of two numbers: 212,514 and 396,705. To estimate the sum, you can round each number to the nearest ten thousand and then add them together. Here, 212,514 rounds down to 210,000 and 396,705 rounds up to 400,000. The estimated sum would, therefore, be 210,000 + 400,000, which equals 610,000.
To find the exact sum, you must add the two numbers directly:
Adding these two numbers gives us:
- 212,514
- + 396,705
- -------------
- 609,219
The exact sum of the two numbers is 609,219. The estimate was close to the actual sum showing that the rounding method can effectively give us a ballpark figure before calculating the exact total.