Round decimals and mixed numbers

  • Definition: Rounding a decimal means approximating it to a certain number of decimal places or significant figures.
  • Rules for Rounding Decimals:
    • Look at the digit in the place value you are rounding to:
      • If the digit is 5 or greater, round up.
      • If the digit is less than 5, round down (or keep the digit the same).
  • Example: Round 3.876 to two decimal places.
    • Look at the third decimal place (6). Since 6 is greater than 5, round the second decimal place (7) up to 8.
    • Answer: 3.88.

  • Definition: A mixed number consists of a whole number and a fraction. To round a mixed number, you round the fractional part and then simplify the whole number if needed.
  • Steps for Rounding Mixed Numbers:
    1. Round the fractional part of the mixed number to the required decimal or fraction.
    2. Adjust the whole number if necessary (depending on the rounding of the fractional part).
  • Example: Round 2 7/8 to the nearest whole number.
    • Convert the fraction to a decimal: 7/8 = 0.875.
    • Round 0.875 to the nearest whole number (which is 1 since it is greater than 0.5).
    • Answer: 3 (2 + 1 = 3).

Let’s practice!🖊️