Let's analyze each number and check if it has been rounded correctly to the nearest ten thousand:

1. 455,000 → 456,000:

   • To round to the nearest ten thousand, we look at the thousands place (5).
   • Since 5 is greater than or equal to 5, we round up.
   • 455,000 becomes 460,000, not 456,000.
   • Answer: No.

2. 37,056 → 40,000:

   • Look at the thousands place (7).
   • Since 7 is greater than or equal to 5, we round up.
   • 37,056 becomes 40,000, which is correct.
   • Answer: Yes.

3. 10,432 → 20,000:

   • Look at the thousands place (0).
   • Since 0 is less than 5, we round down.
   • 10,432 should be rounded to 10,000, not 20,000.
   • Answer: No.

4. 286,910 → 290,000:

   • Look at the thousands place (6).
   • Since 6 is greater than or equal to 5, we round up.
   • 286,910 becomes 290,000, which is correct.
   • Answer: Yes.

So the correct responses are:

• 1. No
• 2. Yes
• 3. No
• 4. Yes

Would you like more details on any of the steps?

Here are some related questions to practice:

1. How would you round 75,432 to the nearest ten thousand?
2. What is 123,456 rounded to the nearest thousand?
3. How do you round 5,672 to the nearest hundred?
4. What is the rule for rounding numbers if the digit is exactly 5?
5. Can you explain how rounding helps in estimation?

Tip: When rounding, always look at the digit to the right of the place value you're rounding to (e.g., thousands place when rounding to ten thousand).