Why is it a good idea to put one nickel, one penny,and one quarter in a different order to find the total?
Most of us count in a logical order -- smallest to greatest or greatest to smallest.
0.25 + 0.05 + 0.01
Why is it a good idea to put one nickel one penny and 1/4 in a different order to find the total?
It could be a good idea to put one nickel, one penny, and one quarter in a different order to find the total because the order of the coins can affect the total value. The value of coins is determined by their denominations, and arranging them differently can lead to different sum outcomes.
To calculate the total value, we need to know the denominations of the coins. In this case, a nickel is worth 5 cents, a penny is worth 1 cent, and a quarter is worth 25 cents.
Now, let's consider the different possible orderings and calculate the total in each case:
1. If we put the nickel first, followed by the penny, and then the quarter:
- Nickel (5 cents) + Penny (1 cent) + Quarter (25 cents) = 31 cents
2. If we put the penny first, followed by the nickel, and then the quarter:
- Penny (1 cent) + Nickel (5 cents) + Quarter (25 cents) = 31 cents
3. If we put the nickel first, followed by the quarter, and then the penny:
- Nickel (5 cents) + Quarter (25 cents) + Penny (1 cent) = 31 cents
In all three cases, the total value remains the same, which is 31 cents. Hence, no matter how we arrange these three coins, the total will always be the same.