To estimate the decimal points in the quotients, we can round the numbers to make them simpler to work with while getting a sense of their sizes.
For the first equation: 3.3 x 2.7 is approximately:
- Round 3.3 to 3 (whole number)
- Round 2.7 to 3 (whole number)
Now, 3 x 3 = 9. So, in the product of \(3.3 \times 2.7\), we would expect the quotient to also be in the single-digit range.
Thus, for \(3.3 \times 2.7 = 8.91\), rounding gives us an estimate of 9.
Answer:
- The decimal point in 891 would logically be placed as 8.91.
For the second equation: 5.26 x 1.4 is approximately:
- Round 5.26 to 5
- Round 1.4 to 1.5
Now, 5 x 1.5 = 7.5. This gives a sense that the quotient will be in the single-digit or very low two-digit range.
Thus, for \(5.26 \times 1.4 = 7364\), rounding gives us an estimate of 7.5.
Answer:
- The decimal point in 7364 would logically be placed as 7.364.
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