To calculate the result of 799 multiplied by 1.075, we need to perform the multiplication operation.
Calculation Process
The calculation involves multiplying 799 by 1.075. This can be done using a calculator or by hand. The multiplication of a whole number by a decimal number involves multiplying the whole number by the decimal as if it were a whole number, and then adjusting the decimal point accordingly.
Multiplication Steps
First, we multiply 799 by 1075 (since 1.075 can be written as 1075⁄1000 or 1075 * 10^-3), which gives us 859,225. Then, to adjust for the decimal, we divide by 1000 (since we moved the decimal point three places to the right), resulting in 859.225.
| Operation | Result |
|---|---|
| 799 * 1075 | 859,225 |
| 859,225 / 1000 | 859.225 |
Precision and Significant Figures
When performing calculations, especially in scientific or technical contexts, it’s crucial to consider the precision and significant figures of the original numbers. The result should not have more significant figures than the least precise of the original factors. In this case, assuming 799 and 1.075 are given with their implied precision, the result should be rounded appropriately to reflect the precision of the input values.
Rounding Considerations
Given that 1.075 has four significant figures (considering it as 1.0750 for the purpose of significant figure rules), and 799 has three significant figures, the result of the multiplication should be reported to three significant figures, as the number with fewer significant figures limits the precision of the result. Thus, 859.225 should be rounded to 859, to reflect the three significant figures of the original numbers.
What is the result of multiplying 799 by 1.075, considering significant figures?
+The result of multiplying 799 by 1.075, considering the rules of significant figures, is 859. This is because the result should be reported to the same number of significant figures as the least precise of the original numbers, which in this case is three significant figures.
