How to Round Decimals to the Nearest Thousandth: A Step-by-Step Guide

Understanding Decimal Places

• 📌 The video explains how to identify the 10th, hundredth, and thousandth places in a decimal number.
• 🎯 The focus is on rounding to the nearest thousandth, which is the third digit after the decimal point.

The Rounding Process

• 🔍 To round to the nearest thousandth, place a line after the thousandth digit.
• ⚖️ Examine the digit immediately to the right of the line to determine whether to round up or down.

Rounding Rules

• ⬆️ If the digit to the right is five or greater, round the thousandth digit up.
• ⬇️ If the digit to the right is four or less, round the thousandth digit down (keep it as is).

Example 1: Rounding Up

• 💡 For the number 0.4536, the digit to the right of the thousandth place (6) is greater than five.
• ✅ Therefore, round up the thousandth digit (3) to 4, resulting in 0.454.

Example 2: Rounding Down

• 💡 For the number 0.7863, the digit to the right of the thousandth place (3) is less than five.
• ✅ Therefore, round down, keeping the thousandth digit (6) as is, resulting in 0.786.