Gary divides 48.026 by 6.49 using the work shown. Is Gary correct or incorrect? Explain your answer in full sentences.
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Here, we are required to judge Gary's calculation as portrayed in the question above.
Gary's calculation is correct according to the calculation.
Ultimately, 48.026/6.49 = 7.4.
The question asks that 48.026 is divided by 6.49.
By first considering the whole numbers on the left hand side of the decimal point in each number,
We can conclude that 48 divided by 6 equals 8, i.e 48/6=8.
However, the calculation becomes much easier by shifting the decimal points in both numbers two spaces to the right as indicated in the diagram (i.e multiply both numbers by 100).
This leaves us with 4802.6 to be divided by 649.
Dividing 4802.6 by 649 yields 7 with a remainder of 259.6 (this is so because 7 × 649 = 4543).
259.6 can have it's decimal point shifted one space right to yield 2596.
And, 2596/649 = 4.
The condition above is hypothetical, and there's a need for the decimal point to be shifted one space back to the left, which leaves us with 0.4.
Ultimately, 48.026/6.49 = 7.4.
Therefore, Gary's calculation is correct using the work shown in the question above.
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