Jalen is incorrect in his assessment. While the number 2120 may visually seem larger than 2.12 at first glance, we need to consider the place value of each digit to understand the actual weights of the fish.
Understanding Place Value:
-
Jalen's Fish: 2120 kg
- The digits represent the following:
- 2 in the thousands place (2000 kg)
- 1 in the hundreds place (100 kg)
- 2 in the tens place (20 kg)
- 0 in the ones place (0 kg)
Thus, when you combine all the place values, Jalen's fish weighs 2120 kg.
- The digits represent the following:
-
Lee's Fish: 2.12 kg
- The digits represent the following:
- 2 in the whole number part (2 kg)
- 1 in the tenths place (0.1 kg)
- 2 in the hundredths place (0.02 kg)
When you combine these, Lee's fish weighs 2.12 kg (which is 2 kg plus 0.1 kg plus 0.02 kg).
- The digits represent the following:
Comparing the Weights:
- Jalen's fish: 2120 kg
- Lee's fish: 2.12 kg
Conclusion: 2120 kg is significantly larger than 2.12 kg. Therefore, Jalen's fish weighs much more than Lee's fish. In summary, Jalen's understanding of the numbers was incorrect because he misunderstood the place value significance of the decimals.
1 answer