Round decimals and mixed numbers

1๏ธโƒฃ What is Rounding?

  • ๐Ÿ”น Rounding means approximating a number to make it simpler but still close to its original value.
  • ๐Ÿ”น We round numbers to nearest whole number, tenth, hundredth, or fraction depending on the need.
  • ๐Ÿ“ Example: 4.76 โ‰ˆ 4.8 (rounded to the nearest tenth)

2๏ธโƒฃ Rules for Rounding Decimals ๐Ÿ”ข

  1. โœ… Look at the digit to the right of the place you want to round.
  2. โœจ If itโ€™s 5 or more, add 1 to the digit you are rounding.
  3. โŒ If itโ€™s less than 5, keep the digit the same.
  4. ๐Ÿ›‘ Drop all digits after the rounded place.

๐Ÿ“ Example:

  • Round 7.346 to the nearest tenth โ†’ 7.3
  • Round 7.346 to the nearest hundredth โ†’ 7.35

3๏ธโƒฃ Rounding Mixed Numbers ๐Ÿงฎ

A mixed number has a whole number + fraction.

๐Ÿ”น Step 1: Convert the fraction to a decimal if needed.

๐Ÿ”น Step 2: Round the decimal part using decimal rounding rules.

๐Ÿ”น Step 3: Combine with the whole number.

๐Ÿ“ Example:

  • 37/10โ€‹ โ†’ 3.7 โ†’ Rounded to nearest whole number โ†’ 4
  • 23/8โ€‹ โ†’ 2.375 โ†’ Rounded to nearest tenth โ†’ 2.4

4๏ธโƒฃ Tips for Rounding Fractions โšก

๐Ÿ”น Compare the fraction to ยฝ:

  • Less than ยฝ โ†’ round down
  • ยฝ or more โ†’ round up

๐Ÿ“ Example: 52/5 โ†’ 5.4 โ†’ Nearest whole โ†’ 5

๐Ÿ“ Example: 35/8โ€‹ โ†’ 3.625 โ†’ Nearest whole โ†’ 4


5๏ธโƒฃ Why Rounding is Useful? ๐Ÿ’ก

  • Makes calculations easier ๐Ÿงฎ
  • Helps in estimating answers quickly โฑ๏ธ
  • Useful in money, measurements, and daily life ๐Ÿ’ฐ๐Ÿ“

6๏ธโƒฃ Quick Emoji Reminder ๐Ÿ””

  • ๐Ÿ”ข Decimal โ†’ round using place values
  • ๐Ÿงฎ Mixed number โ†’ convert fraction โ†’ round decimal
  • โฌ†๏ธ 5 or more โ†’ round up
  • โฌ‡๏ธ Less than 5 โ†’ round down

Let’s practice!๐Ÿ–Š๏ธ