Imagine a stack of 1,000 one-dollar bills, which is about 4.3 inches tall. a) Imagine combining 1,000 stacks of 1,000 one-dollar bills. How much money is in the stack? Select an answer. Use the most appropriate unit. How tall would that stack be, in inches? inches How tall would that stack be, in feet? feet Recall that 12 inches = 1 foot. It’s fine to give your answer to the nearest foot.
The Correct Answer and Explanation is:
Let’s break this down step by step:
Part a) Amount of Money in the Stack
- One Stack of 1,000 One-Dollar Bills:
We know that one stack contains 1,000 one-dollar bills, and the total amount of money in one stack is $1,000. - Combining 1,000 Stacks:
When we combine 1,000 stacks, the total amount of money in the new, combined stack is: 1,000×1,000=1,000,000 dollars.1,000 \times 1,000 = 1,000,000 \text{ dollars}.1,000×1,000=1,000,000 dollars. So, the total amount of money in the stack is $1,000,000.
Part b) Height of the Stack in Inches
- Height of One Stack of 1,000 One-Dollar Bills:
A stack of 1,000 one-dollar bills is 4.3 inches tall. - Height of 1,000 Stacks Combined:
If 1,000 stacks are combined, the total height of the new stack is: 1,000×4.3=4,300 inches.1,000 \times 4.3 = 4,300 \text{ inches}.1,000×4.3=4,300 inches. So, the stack would be 4,300 inches tall.
Part c) Height of the Stack in Feet
Since there are 12 inches in one foot, we can convert the height from inches to feet by dividing the height in inches by 12:4,300 inches12=358.33 feet.\frac{4,300 \text{ inches}}{12} = 358.33 \text{ feet}.124,300 inches=358.33 feet.
Rounding to the nearest foot, the height of the stack is approximately 358 feet.
Final Answer:
- Total amount of money: $1,000,000
- Height of the stack in inches: 4,300 inches
- Height of the stack in feet: 358 feet
This gives you a perspective on how large a stack of 1,000,000 one-dollar bills would be, both in terms of money and physical height!
