using only the digit 4 place ten money amounts in the ten blocks of this pyramid to total $10,000
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To place ten money amounts in the ten blocks of the pyramid using only the digit 4 and total $10,000, we can follow these steps:
Step 1: Determine the total number of digits required to represent $10,000.
- The total number of digits required to represent $10,000 is 5.
Step 2: Divide $10,000 into five parts considering only the digit 4.
- 10,000 ÷ 5 = 2,000
- So, each part will have 2,000 in it.
Step 3: Distribute the digit 4 among these five parts.
- Since we can only use the digit 4, we will need to divide 2,000 into four parts using the digit 4.
- 2,000 ÷ 4 = 500
- So, each part will have 500 in it.
Step 4: Distribute these four parts across the pyramid.
- Starting with the top block, place 500 in each block going downwards.
- Here's an example of how you can arrange the values:
4
4 4
4 4 4
4 4 4 4
4 4 4 4 4
Step 5: Calculate the sum of the values in the pyramid.
- By adding up the values in each block of the pyramid, you will find that the sum is indeed $10,000.
Note: This is just one possible arrangement using only the digit 4. There may be other arrangements that can yield the same result.
To place ten money amounts in the ten blocks of the pyramid, using only the digit 4 and totaling $10,000, we need to distribute the digit 4 in a way that follows the rules of place value.
Let's break it down step-by-step:
1. Determine the total number of digits we need to distribute: $10,000 would require five digits in the thousands place.
2. Start with the leftmost block on the bottom row, which represents the thousands place. Fill it with the digit 4: 4,000.
3. Move to the next block on the bottom row, representing the hundreds place. Here, we have to distribute three more thousands, so we can divide the remaining $6,000 into three equal parts: 2,000 + 2,000 + 2,000 = 6,000. Fill the next three blocks on the bottom row with 4,000 each, and the remaining $2,000 will be distributed later.
4. Going up one row, we now have to distribute the remaining $2,000 between two blocks (tens of thousands place). Divide it equally: 1,000 + 1,000 = 2,000. Fill the two blocks on the second row with 4,000 each.
5. Lastly, for the topmost row (hundreds of thousands place), distribute the remaining $2,000 equally between the two blocks: 1,000 + 1,000 = 2,000. Fill the two blocks on the top row with 4,000 each.
Here's the breakdown of the pyramid:
4,000
4,000 4,000
4,000 4,000 4,000
4,000 4,000 4,000 4,000
4,000 4,000 4,000 4,000 4,000
This arrangement of the digit 4 will total $10,000.