How do you you round 4141.07 to the nearest tenth?

Answer 1

Mathematical (programmatic) explanation of rounding to base

Number (n)

Base (b)

Modular (m) = n Mod b

Pure Number (np) = n - m

if m/b is more than or equal to 0.5 then np = np+b

Solution

n = 4141.07

b = 10

m = 4141.07 Mod 10 = 1.07

np = 4141.07 - 1.07 = 4140

if 1.07/10 is more than or equal to 0.5 then np = 4140+10

The answer is np = 4140

Explanation

Using the mathematical approach to round a number is not necessary, but is an efficient way to explain how it works.

A faster method would simply be to look at the base you're trying to round to. In this case, the 4 tens in 4141.07, the subsequent number must be more than or equal to half of your base, otherwise it is rounded back to 4 tens. If it is more than or equal to half of your base you would add another ten, giving a rounded number of 4150. Since we have the base 10, and the subsequent number after our tens are 1.07, and 1.07 is less than 5 (base/half) we round down to 40