Eric and Madison both measured the same trading card. Eric says the card is 3 inches long. Madison says it is 2 3/4in long. The teacher says they are both right. How is this possible?
Eric rounded up to the nearest inch.
Or, the card is 2 3/4 x 3 inches, and they are calling different sides the length.
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To understand how Eric and Madison can both be right, let's break down the measurements they provided.
Eric says the card is 3 inches long. This is a straightforward measurement and represents a whole number.
Madison, on the other hand, says the card is 2 3/4 inches long. This is a mixed number, which consists of a whole number and a fraction. The fraction part of the measurement, 3/4, represents three-quarters of an inch.
To compare these measurements, we need to find a way to express them using the same unit of measurement. We can do this by converting Eric's measurement to a mixed number, just like Madison's.
Eric's measurement of 3 inches can be written as a mixed number by using the fact that 1 inch is equal to 4 quarters. So, we can divide 3 inches by 1 inch to get the mixed number representation:
3 inches = 3 x (4 quarters / 1 inch) = 12 quarters
Therefore, Eric's measurement of 3 inches is equivalent to 12 quarters.
Now, we can compare Madison's measurement of 2 3/4 inches with Eric's measurement of 12 quarters. We can see that both measurements represent the same length: 12 quarters is equal to 2 3/4 inches.
In conclusion, Eric and Madison are both correct in their measurements. Eric measured the length of the trading card in inches, and Madison measured it in a combination of inches and fractions of an inch. However, when we convert their measurements to the same unit (in this case, quarters), we find that they represent the same length.