Fundamental mathematical operation

Rounding is a mathematical operation that simplifies numbers by reducing the number of digits while keeping the value close to the original

Purpose of Rounding

Handling numbers with many decimal places

Rounding is useful for handling numbers with many decimal places

Simplifying calculations

Rounding is useful for simplifying calculations where exact precision is not critical

Trade-off between ease of use and precision

Rounding alters the original number, resulting in a trade-off between ease of use and precision

Identifying the tens digit

To round to the nearest ten, one must identify the tens digit

Rounding decision based on units digit

The rounding decision is based on the units digit, with 5 or more resulting in an increase of the tens digit and 4 or less leaving it unchanged

Resetting the tens digit

When the tens digit increases from 9 to 10, it resets to 0 and the hundreds digit is incremented by one

Retaining a certain level of precision

Rounding to significant figures allows for retaining a certain level of precision in a number

Determining the most significant figure

The first non-zero digit is considered the most significant figure

Evaluating subsequent digits

The subsequent digit is evaluated, with 5 or higher resulting in an increase of the last significant figure and 4 or lower leaving it unchanged

Targeting digits after the decimal point

Rounding to a specific number of decimal places involves targeting the digits after the decimal point

Counting digits from the decimal point

To round to a designated number of decimal places, one must count the digits from the decimal point to the right

Assessing the subsequent digit

The digit immediately following is assessed, with 5 or higher resulting in an increase of the last retained digit and 4 or lower leaving it unchanged