Compute 4659¯0−214¯00. Round the answer appropriately.
Express your answer numerically using the proper number of significant figures.
252
4659¯0−214¯00=
To compute the subtraction problem 46590 - 21400, we can follow these steps:
Step 1: Align the numbers vertically:
46590
- 21400
Step 2: Subtract the ones column:
0 - 0 = 0
Step 3: Subtract the tens column:
9 - 0 = 9
Step 4: Subtract the hundreds column:
5 - 4 = 1
Step 5: Subtract the thousands column:
6 - 1 = 5
Step 6: Subtract the ten thousands column:
4 - 2 = 2
So the difference is 25190. To round the answer appropriately, we need to consider the given significant figures in the problem. Here, we have four significant figures in the number 46590 and three significant figures in the number 21400.
To properly round the answer, we should consider the number with the least significant figures, which is 21400. Since the last significant figure in 21400 is in the tens column, we need to round the answer to the tens place.
Looking at the ones place in the difference (25190), we see that the digit is 0. Since the digit is 5 or greater, we round up the tens place to 1.
Therefore, rounded to the nearest tens place, the answer is 25200.