Answer:
The mistake Sam made was to don't write down the dot or the comma after 6. The result of the long division is - 6.3, not -63.
Explanation:
1. Let's consider by ourselves the long division problem to understand better what was Sam's mistake.
- 0.2709 ÷ 0.043 = - 6.3
270 ÷ 43 = 6 and 12 as remainder
129 ÷ 43 = 3 and no remainder left
The mistake Sam made was to don't write down the dot or the comma after 6. The result of the long division is - 6.3, not -63.
If we multiply -0.2709 * 10⁴ = -2,709 and if we do the same with 0.043 * 10⁴ = 430. Now let's divide -2,709 ÷ 430 = -6.3, the result should be the same, but like Sam made the mistake it isn't.