Back
Introduction to Addition
> ... Math > Addition and Subtraction > Introduction to Addition

Connection

Have you ever been told not to use your fingers for counting, or told someone else to avoid it? Counting on your fingers is actually an important part of developing math skills. Here is a great article by Jo Boaler on the importance of counting on fingers as one develops Math skills: Why Kids Should Use Their Fingers in Math Class.

Addition is simply combining two groups of things together and has application in every part of life. When adding two small things, this can be done relatively easily and often without having to write anything down. When we start adding large numbers, we have more steps to take in order to help us keep track of our addition.

Steps for Addition:

  1. Stack the numbers in columns according to place value.
  2. Add in columns (place value) starting on the right and moving left.
  3. Carry groups of 10 to the column to the left.
Addition

Video Source (04:53 mins) | Transcript

Additional Resources

Practice Problems

Evaluate the following expression:
    1. \(4 + 3\) = ? (
      Solution
      x
      Solution:
      7
      )
    2. \(2 + 7\) = ? (
      Solution
      x
      Solution:
      9
      )
    3. \(7 + 9\) = ? (
      Video Solution
      x
      Solution: 16
      Details:

      (Video Source | Transcript)
      )
    4. \(0 + 4\) = ? (
      Solution
      x
      Solution: 4
      Details: In addition, a zero represents an empty or null value. If then, zero is an empty value, the four ones added to zero is 4.
      )
    5. \(5 + 8\) = ? (
      Solution
      x
      Solution: 13
      Details:
      This is a box that displays five blue circles on the left and eight blue circles on the right. Above those circles, five plus eight is listed.
      We can think of the 8 in this problem as five ones and three ones.

      This is a box that displays five pink circles on the left. On the right there are eight circles, but five out of these eight circles on the right are also pink. The expression five plus eight is written above these circles.
      We can think about our problem as having two fives and one three. Two fives give us 10. Plus three ones is 13.

      This image is the same as the previous image but now there are arrows from the group of five pink circles on the left and five pink circles on the right to an equation: five plus five equals ten. There is another arrow from this equation and from the remaining three circles on the right pointing to another equation: ten plus three equals thirteen.

      Or
      \(5 + 8\)

      Rename \(8\) to \(5 + 3\)
      \(5 + 5 + 3\)

      Group the two \(5\)'s to make \(10\).
      \(10 + 3\)

      \(10 + 3 = 13\)
      )
    6. \(9 + 8\) = ? (
      Video Solution
      x
      Solution: 17
      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.