Perform each of the following conversions, being sure to set up clearly the appropriate conversion factor in each case.
2.23 m to yards
Am I supposed to round the answer? I don't think I am, but the answer I get is insanely large.
Chemistry?
A meter and a yard are almost the same length.
1 meter = 1.0936133 yards
2.23 * 1.0936 = 2.4716 = 2.47
2.23 meters = about 2.47 yards
I'd round 2.47 to 2 1/2 yards.
Yes, you should round the answer. To how many places? You started with 2.23 m which is three significant digits; therefore, you may have three s.f. in the final answer. Here is what your prof wants. The part in parentheses (1 yard/1.0936 m) is the conversion factor mentioned in the problem.
2.23 m x (1 yard/1.0936 m) = 2.4387 yards which would round to three s.f. as 2.44 yards.
DrBob is right. It's 2.4387 yards or 2.44 yards.
To convert 2.23 m to yards, we need to use the appropriate conversion factor. The conversion factor between meters and yards is 1 meter equals 1.09361 yards.
To set up the conversion, we can use the following ratio:
1.09361 yards = 1 meter
Now, let's perform the conversion:
2.23 m * (1.09361 yards / 1 m)
By multiplying the distance in meters (2.23 m) by the conversion factor (1.09361 yards/m), we cancel out the meters unit and are left with the equivalent distance in yards.
Calculating the result:
2.23 m * (1.09361 yards / 1 m) = 2.4356 yards
So, the answer is 2.4356 yards.
Regarding rounding, it depends on the level of precision required for your specific calculation. However, when performing conversions, it's generally recommended to keep one or two extra decimal places in the intermediate calculations to ensure accuracy. Therefore, in this case, you don't need to round the answer unless specified to do so.