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Locate numbers on a number line

A number line represents whole numbers in order, with positions increasing from left to right and equal intervals corresponding to equal changes in value. Learners locate and label whole numbers from 0 through 1,000, using marked ones, tens, or hundreds and benchmark points to determine position, compare numbers, and identify numbers between labeled points; negative numbers, fractions, decimals, and unscaled or generalized number lines are beyond this scope.

Detailed Explanation: Locate numbers on a number line

A number line shows numbers in order from left to right. Equal spaces mean equal changes in value.

To locate a number:

  1. Find the labeled numbers around it.
  2. Count how much each space is worth.
  3. Count spaces from the smaller labeled number.
  4. Label the correct point.

Example: Locate 340340 on the number line.

Suppose the number line goes from 300300 to 400400 and has 1010 equal spaces:

300∣∣∣∣∣∣∣∣∣400300 \quad \vert \quad \vert \quad \vert \quad \vert \quad \vert \quad \vert \quad \vert \quad \vert \quad \vert \quad 400

There are 100100 numbers from 300300 to 400400, split into 1010 equal spaces:

100÷10=10100 \div 10 = 10

So, each space is worth 1010.

Now count by tens from 300300:

  • First mark: 310310
  • Second mark: 320320
  • Third mark: 330330
  • Fourth mark: 340340

Therefore, 340340 is at the fourth mark to the right of 300300.

Learn by doing: Locate numbers on a number line

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Number Line - Positive Integers, Read Number - From Ticks


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