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A number line helps young learners see addition as moving forward. Each number has its own place, and the spaces between numbers show steps of 1. When we add, we start at the first number and hop to the right.

This makes a problem like 3 + 4 = 7 easy to see and count.

Key Facts

  • Addition means putting amounts together to make a larger total.
  • On a number line, adding means moving to the right.
  • In 3 + 4 = 7, start at 3 and make 4 forward hops to land on 7.
  • Each hop on a number line usually counts as 1.
  • The first number tells where to start, and the second number tells how many hops to make.
  • a + b = sum, where the sum is the number you land on after adding.

Vocabulary

Number line
A number line is a straight line with numbers placed in order.
Add
To add means to combine numbers to find how many there are in all.
Start number
The start number is the number where you begin on the number line.
Hop
A hop is one move from one number to the next number on the number line.
Sum
The sum is the answer to an addition problem.

Common Mistakes to Avoid

  • Counting the start number as the first hop is wrong because you begin on that number before any hopping happens.
  • Hopping to the left when adding is wrong because addition moves forward to the right on a number line.
  • Making too many or too few hops gives the wrong sum because the second number tells exactly how many hops to take.
  • Landing between numbers can be confusing because early number line addition uses whole-number hops from one labeled number to the next.

Practice Questions

  1. 1 Use a number line from 0 to 10 to solve 2 + 5. What number do you land on?
  2. 2 Start at 4 and make 3 forward hops. Write the addition sentence and the sum.
  3. 3 A student solves 5 + 2 by starting at 5 and hopping left 2 spaces to 3. Explain what the student should do instead and why.