In the instruction of Form 1040, there is a tax table on p78, and a tax rate schedule on 103. Both seem to be used for calculating the tax based on a given amount of taxable income in Line 44 in Form 1040.
What are the relation and difference between the tax rate schedule and the tax table?
For example, suppose the taxable income is 10000 dollars for single filing status.
According to the tax rate schedule, the tax is 927.50 + 15%*725 = 1036.25 dollars.
According to the tax table, the tax is 1040 dollars.
Are the amounts found out by the two methods supposed to be the same?
Since they are not the same, which method should be used for finding out the tax for a given taxable amount?