The decimal 3.725 is equal to 3.72 correct to two decimal places.
Step 1: We want the number correct to two decimal places. That means we keep the hundredths place.
Step 2: Write the number and mark the places:
(3.,7color{blue}{2}color{red}{5})
Here, (2) is in the hundredths place and (5) is in the thousandths place.
Step 3: To round to two decimal places, look at the next digit (the thousandths digit).
Next digit (=;5).
Step 4: When the next digit is exactly (5), we use the “round half to even” rule (also called banker’s rounding):
• If the hundredths digit is even, keep it the same.
• If it is odd, increase it by (1).
Step 5: Our hundredths digit is (2), which is even. So we keep it as (2), and drop everything after it.
Result: (3.725) becomes (3.72) (correct to two decimal places).
You can also see it as:
(3.725 = 3.72 + 0.005)
Since we are rounding “half” to the nearest even hundredth, we get (3.72).