Problem Description:
The task is to round the given numbers to the nearest hundred and trace a path through the numbers that can be rounded to
500. The goal is to start at "start" and end at "finish," following only the numbers that round to 500.
Steps to Solve:
#### Step 1: Understand Rounding to the Nearest Hundred
- To round a number to the nearest hundred:
- Look at the tens digit.
- If the tens digit is 5 or greater, round up to the next hundred.
- If the tens digit is less than 5, round down to the previous hundred.
#### Step 2: Identify Numbers That Round to 500
We need to check each number in the grid to see if it rounds to 500. Let's analyze them:
-
490: Tens digit is 9 → Rounds up to 500.
-
493: Tens digit is 9 → Rounds up to 500.
-
490: Tens digit is 9 → Rounds up to 500.
-
487: Tens digit is 8 → Rounds up to 500.
-
556: Tens digit is 5 → Rounds up to 600.
-
480: Tens digit is 8 → Rounds up to 500.
-
605: Tens digit is 0 → Rounds down to 600.
-
650: Tens digit is 5 → Rounds up to 700.
-
513: Tens digit is 1 → Rounds down to 500.
-
440: Tens digit is 4 → Rounds down to 400.
-
576: Tens digit is 7 → Rounds up to 600.
-
525: Tens digit is 2 → Rounds down to 500.
-
510: Tens digit is 1 → Rounds down to 500.
-
480: Tens digit is 8 → Rounds up to 500.
-
555: Tens digit is 5 → Rounds up to 600.
-
402: Tens digit is 0 → Rounds down to 400.
-
468: Tens digit is 6 → Rounds up to 500.
-
389: Tens digit is 8 → Rounds up to 400.
-
415: Tens digit is 1 → Rounds down to 400.
-
702: Tens digit is 0 → Rounds down to 700.
-
556: Tens digit is 5 → Rounds up to 600.
-
504: Tens digit is 0 → Rounds down to 500.
-
465: Tens digit is 6 → Rounds up to 500.
#### Step 3: List Numbers That Round to 500
From the analysis above, the numbers that round to 500 are:
- 490, 493, 490, 487, 480, 513, 525, 510, 480, 468, 504, 465
#### Step 4: Trace the Path
Starting from "start" (490) and ending at "finish" (504), we need to trace a path using only the numbers that round to 500. Here’s one possible path:
1. Start at
490.
2. Move to
493.
3. Move to
490.
4. Move to
487.
5. Move to
480.
6. Move to
513.
7. Move to
525.
8. Move to
510.
9. Move to
480.
10. Move to
468.
11. Move to
504 (finish).
Final Answer:
The path traced through the numbers that round to 500 is:
\[
\boxed{490 \rightarrow 493 \rightarrow 490 \rightarrow 487 \rightarrow 480 \rightarrow 513 \rightarrow 525 \rightarrow 510 \rightarrow 480 \rightarrow 468 \rightarrow 504}
\]
Parent Tip: Review the logic above to help your child master the concept of rounding to the nearest hundred thousand worksheet.
