Addition: fill in the missing digits

Key notes :

  • Missing Digits: In addition problems where some digits are missing, the goal is to find the missing numbers to complete the equation.
  • Purpose: Helps students understand place value, addition, and the structure of numbers.

Analyze the Problem:

Identify where the missing digits are located and understand their place value.

  • Example: _53+2_7=800

Use Place Value:

Understand that each place (units, tens, hundreds) must be correctly filled to make the addition accurate.

  • Example: If the sum is 800, you need to ensure that the digits you fill in result in 800 when added.

Work from Right to Left:

Start with the rightmost column and use the known digits to find the missing ones.

  • Example: If the units column is _+7=0 (or 10), you need to find that the missing digit is 3 (since 7 + 3 = 10).

Carry Over if Needed:

If the sum of a column is 10 or more, carry over the tens to the next column.

  • Example: In 5_+_7=800 if the sum of the units column is 10 or more, ensure to carry over.

Complete the Equation:

Fill in the missing digits ensuring the entire addition problem makes sense and satisfies the equation.

  • Example: After determining the missing digits, verify the sum of each column and the overall result.

Example 3:

  • Use Place Value: Pay attention to each column and how digits interact within that column.
  • Check Carry Over: Ensure that any carry from one column is added to the next column correctly.
  • Verify the Solution: After finding the missing digits, check your work by adding the numbers to see if they match the given total.

Learn with an example

  • Start on the right. Add the ones column, remembering to carry over. Look at the tens column. The tens column must add up to 0 or 10. The missing number is 2. Remember to carry over.
  • Start on the right. Look at the ones column. Add the ones. The missing number is 8.
  • Start on the right. Add the ones and tens columns, remembering to carry over. Look at the hundreds column. The hundreds column must add up to 2 or 12. The missing number is 4. Remember to carry over.

Let’s practice!