Rounding Calculator

What is Rounding Calculator?

Rounding is the process of simplifying a number by adjusting it to a nearby, more convenient value. This helps make numbers easier to work with, especially when precise detail is unnecessary. For example, rounding 2.7 to the nearest whole number gives 3.

Common Rounding Methods

1. Round Half Up (Standard Rounding)

This is the most commonly used method. Numbers halfway between two rounding points are rounded up.

• 5.50 → 6
• 5.51 → 6
• 5.49 → 5

For negative numbers, “up” means towards zero:

• -5.50 → -5
• -5.51 → -6

2. Round Half Down

Similar to round half up, except halfway numbers round down.

• 5.50 → 5
• 5.51 → 6
• 5.49 → 5

• -5.50 → -6
• -5.51 → -6
• -5.49 → -5

3. Round Up (Ceiling)

Rounds numbers up to the nearest whole number. Negative numbers round towards zero.

• 5.01 → 6
• -5.01 → -5

4. Round Down (Floor)

Rounds numbers down to the nearest whole number. Negative numbers round further away from zero.

• 5.99 → 5
• -5.01 → -6

5. Round Half to Even

Also known as bankers’ rounding. Half values are rounded to the nearest even number.

• 5.5 → 6
• 6.5 → 6
• -7.5 → -8

6. Round Half to Odd

Half values are rounded to the nearest odd number.

• 5.5 → 5
• 6.5 → 7
• -7.5 → -7

7. Round Half Away from Zero

Half values round away from zero.

• 5.5 → 6
• -5.5 → -6

8. Round Half Towards Zero

Half values round towards zero.

• 5.5 → 5
• -5.5 → -5

Rounding to Fractions

This method rounds numbers to the nearest fraction, such as 1/2, 1/4, or 1/8. It’s especially useful in fields like engineering where fractional measurements are common.

• 15.65 → 15 5/8 (≈ 15.625)
• 15.70 → 15 3/4 (≈ 15.75)
• 15.80 → 15 3/4 (≈ 15.75)
  

Related Calculators:
Matrix Calculator, Scientific Notation Calculator, Big Number Calculator

External Resources:
Rounding Calculator on Calculator.net