Final answer:
The number 293.974373347 rounded to 1 decimal place is 294.0. The process of rounding involves examining the digit immediately following the place value to which we are rounding, and if that digit is 5 or higher, the previous digit is rounded up.
Step-by-step explanation:
To round the number 293.974373347 to 1 decimal place, we need to look at the second decimal place, which is 9. Since the number in the second decimal place (9) is 5 or greater, we round the first decimal place up. Therefore, 293.974373347 rounded to one decimal place is 294.0.
When we consider rounding in the context of multiplying and dividing by powers of 10, we apply the same rounding rules. For instance, if we have a number like 1.9436 and we multiply or divide it by 10, 100, or 1000, the decimal place moves accordingly. However, the number still gets rounded based on the digit that follows the last digit we want to keep. If that digit is 5 or higher, we round up.
For example, when we multiply 38.65 by 105.93, getting the answer 4,094.1945, we round to four significant figures, resulting in 4,094, because the dropped digit (1) is less than 5. Another example is when we divide 1.9436 by 1000, giving us 0.0019436, which can be rounded as needed based on the context.