Languages
Back
Languages
Addition with Larger Numbers
> ... Math > Rounding and Decimals > Addition with Larger Numbers

The pattern used to do addition is the same no matter how many digits are in the numbers or how many numbers you are adding together.

Steps for Addition

  1. Stack the numbers according to place value.
  2. Add the numbers in the columns starting with the column on the right.
  3. Carry numbers into the next place value to the left as needed.
  4. Repeat this pattern for each remaining column.
Steps for addition

Video Source (06:00 mins) | Transcript

Additional Resources

Practice Problems

Evaluate the following expressions:
  1. \(62 + 33 = ?\) (
    Solution
    x
    Solution: 95
    Details:
    One way to solve this problem is to think in terms of place values.

    We have:
    6 tens or 60
    3 tens or 30
    2 ones or 2
    3 ones or 3

    The following bars represent 6 tens. Each bar has 10 rectangles for a total of 60 rectangles.

    This image displays six bars. Each bar is made from ten identical rectangles stacked on top of each other.

    The following bars represent 3 tens. Each bar has 10 rectangles for a total of 30 rectangles.

    This graph displays three bars. Each bar has ten identical rectangles stacked on top of each other.

    Now, add 6 tens plus 3 tens or \(60 + 30\).

    This image displays six bars on the left and three bars on the right with an addition sign in between them. Each bars is made of ten identical rectangles stacked on top of each other.

    Now, there are 9 tens, for a total of 90 rectangles.

    This image displays nine bars. Each bar is made of ten identical rectangles stacked on top of each other.

    Then we can add our ones
    \(2 + 3 = 5\) or 5 ones

    This image has two identical rectangles on the left and three identical rectangles on the right.

    The answer is 9 tens and 5 ones, which is 95.

    This image displays nine bars. Each bars is made of ten identical rectangles stacked on top of each other. There are also five individual rectangles to the right of those nine bars.
    )
  2. \(525 + 25 = ?\) (
    Solution
    x
    Solution: 550
    Details:
    Using place values, the problem \({\color{blue}525} + 25\) is shown below.

    This is a box that is segmented vertically by place values creating three columns: Hundreds to the left, Tens in the middle, and Ones to the right. For the number 525, the first number 5 is placed in the hundreds column. The 2 is placed in the tens column. The other number 5 is placed in the ones column. For the number 25, the number 2 is placed in the tens column and the number 5 is placed in the ones column.

    Start by adding the numbers in the ones column. The first answer is 10. Put the 0 in the ones column and carry the 1 into the tens column.

    This is the same as the previous image except there is a blue answer box below the numbers in the columns . This blue box is where the solutions for each column will be placed. It displays a 0 in the ones column. There is also a 1 placed at the top of the tens column.

    Continue by adding the numbers in the tens columns. \(1 + 2 + 2 = 5\)
    Put the 5 in the tens column.

    This is the same as the previous image except there is now a number 5 at the bottom of the tens column in the blue solution box.

    Finally, add the hundreds column. In this column, we have a 5 and nothing else. Hence the answer here is 5.

    This is the same as the previous image except there is a number 5 in the blue box at the bottom of the hundreds column.

    The answer to \(525 + 25\) is \(550\).
    )
  3. \(19 + 52 + 61 = ?\) (
    Video Solution
    x
    Solution: 132
    Details:


    (Video Source | Transcript)
    )
  4. \(637 + 400 = ?\) (
    Solution
    x
    Solution:
    1037
    )
  5. \(710 + 231 = ?\) (
    Solution
    x
    Solution:
    941
    )
  6. \(968 + 875 + 682 = ?\) (
    Video Solution
    x
    Solution: 2525
    Details:

    (Video Source | Transcript)
    )

    Need More Help?

    1. Study other Math Lessons in the Resource Center.
    2. Visit the Online Tutoring Resources in the Resource Center.
    3. Contact your Instructor.
    4. If you still need help, Schedule a Tutor.
    Subtraction with Larger Numbers