Round Decimals

Rounding Process

1. Identify the Place to Round To

   • Determine which decimal place you want to round to (tenths, hundredths, etc.).

   • Underline the digit in that place.

2. Examine the Digit to the Right

   • Look at the digit immediately to the right of the underlined place.

   • This digit determines whether you round up or keep the same value:

     • If it's 5 or more, round up.

     • If it's 4 or less, keep the digit the same.

3. Final Answer

   • Cut off the decimal after the rounded place.

   • Note: Zeros to the right of the decimal do not change its value.

Example Problems

Example 1: Six and Seventy-Eight Hundredths

• Decimal: 6.78

• Round to the tenths place:

  • Tenths digit: 7

  • Right digit: 8 (more than 5)

  • Rounded answer: 6.8

Example 2: Four Hundred Fifty-Five Thousandths

• Decimal: 0.455

• Round to the hundredths place:

  • Hundredths digit: 5

  • Right digit: 5 (equal to 5)

  • Rounded answer: 0.46

Example 3: Twenty-Seven and Seven Thousand Three Hundred Ninety-Two Ten-Thousandths

• Decimal: 27.7392

• Round to the thousandths place:

  • Thousandths digit: 9

  • Right digit: 2 (less than 5)

  • Rounded answer: 27.739

Example 4: Twenty-Six Hundredths

• Decimal: 0.263

• Round to the hundredths place:

  • Hundredths digit: 6

  • Right digit: 3 (less than 5)

  • Rounded answer: 0.26

Example 5: Three and Eight Tenths

• Decimal: 3.8

• Round to the ones place:

  • Ones digit: 3

  • Right digit: 8 (more than 5)

  • Rounded answer: 4

Example 6: Long Decimal Case

• Decimal: 1.29

• Round to the tenths place:

  • Tenths digit: 2

  • Right digit: 9 (more than 5)

  • Rounded answer: 1.3

Rounding Rules Summary

• Mnemonic: "Five or more, raise the score; four or less, let it rest."

• Important to remember to cut off after the rounded place without changing other digits to zeros when rounding decimals.