Rounding to the Nearest Thousandth

Mathematical Rounding Concepts

Rounding Definition

• Rounding is the process of adjusting the digits of a number to make it simpler and more usable without changing its value significantly.

Rounding to the Nearest Thousandth

• When rounding a number to the nearest thousandth, one focuses on the third digit after the decimal point (thousandths place).
• The digit in the thousandths place is modified based on the digit immediately to its right (the ten-thousandths place).

Example Problem: Rounding 0.00456

• Original Number: 0.00456
• Steps to Round to the Nearest Thousandth:
  1. Identify the thousandths place: 0.00456
  2. Look at the next digit (ten-thousandths place): 0.00456
  3. Since 6 is greater than or equal to 5, round up the digit in the thousandths place (5) by 1.
  4. This results in the new value of the thousandths place becoming 6.
• Result after Rounding:
  0.00456
  ightarrow 0.005

Available Options in the Example

• No correct option presented, as the immediate choices were:
  • $0.005$ (the correct rounded number)
  • $0.00456$ (the original number)
  • $0.004$ (incorrect)
  • $0.006$ (incorrect)