35 ten thousands, 8 hundreds is greater than or less than 300,000 50,000, 80 tens
The Correct Answer and Explanation is:
Let’s break this down step by step:
First, convert “35 ten thousands, 8 hundreds” to a standard number:
- 35 ten thousands: One “ten thousand” is 10,000, so 35 ten thousands = 35 × 10,000 = 350,000.
- 8 hundreds: One “hundred” is 100, so 8 hundreds = 8 × 100 = 800.
Thus, “35 ten thousands, 8 hundreds” = 350,800.
Next, convert “300,000 50,000, 80 tens” to a standard number:
- 300,000: This is already in standard form.
- 50,000: This is also in standard form.
- 80 tens: One “ten” is 10, so 80 tens = 80 × 10 = 800.
Thus, “300,000 50,000, 80 tens” = 300,000 + 50,000 + 800 = 350,800.
Now compare the two numbers:
- The first number, “35 ten thousands, 8 hundreds,” is 350,800.
- The second number, “300,000 50,000, 80 tens,” is also 350,800.
So, they are equal.
Explanation:
Both numbers, after being converted to standard forms, are exactly the same: 350,800. This shows that neither is greater or less than the other; they are equal.
The key to solving problems like this lies in breaking down the number descriptions and then performing simple arithmetic to convert them into comparable forms. By interpreting “ten thousands” as 10,000 and “hundreds” as 100, we can calculate the values correctly. Similarly, “tens” are interpreted as multiples of 10, and grouping the terms properly ensures accurate comparison.
