What is what does it mean to round to the nearest integer?

Rounding to the nearest integer means approximating a real number by the closest integer. Here's a breakdown:

• Integers: An integer is a whole number (not a fraction) that can be positive, negative, or zero. Examples include -3, 0, 5, and 100.

• Real Numbers: A real%20number includes all rational and irrational numbers. This encompasses all numbers on the number line (decimals, fractions, etc.).

• The Goal: Given a real number, you want to find the integer that is closest to it.

• The Rule:

  • If the decimal portion of the number is less than 0.5, round down to the nearest integer. For example, 3.2 rounds down to 3.
  • If the decimal portion of the number is 0.5 or greater, round up to the nearest integer. For example, 3.5 rounds up to 4, and 3.7 rounds up to 4.
  • Negative numbers follow the same rule. -3.2 rounds to -3, and -3.5 rounds to -4.

• Example:

  • 4.1 rounds to 4.
  • 4.9 rounds to 5.
  • -2.3 rounds to -2.
  • -2.7 rounds to -3.
  • 1.5 rounds to 2.
  • -1.5 rounds to -2.