To estimate the product of 37 and 21, we can round each number to a simpler, more manageable figure:
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Round each number:
- Round 37 to 40 (because it's closer to 40 than to 30).
- Round 21 to 20 (because it's the nearest round number).
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Multiply the rounded numbers:
- \( 40 \times 20 = 800 \)
Now, let's compare it to the calculation given (37 × 21 = 777).
- The estimate (800) is significantly higher than the actual product (777), indicating that my rounding led to a higher estimate, which means my initial rounding was a bit off for the context of multiplication.
Thus, 37 × 21 ≈ 800 (from rounding to 40 and 20), which highlights that our estimated result is an approximation, but in practical terms, it provides helpful insight into the magnitude of the product.
Final conclusion:
- The estimate shows that 37 × 21 will be in the range of 700 to 800, and the actual product is indeed 777.
- This estimation method is useful for quickly assessing the size of products without calculating the exact values.