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Represent numbers on a number line

A number line represents each multi-digit whole number, including numbers through 1,000,000, as a position relative to zero and other values; equal intervals can be scaled to represent ones, tens, hundreds, thousands, or larger place-value units. Interpreting the scale allows comparison, ordering, estimation, and reasoning about magnitude, while avoiding the misconception that a number’s position depends only on its written digits rather than the interval structure; the focus is whole numbers, not fractions, decimals, or negative numbers.

Detailed Explanation: Represent numbers on a number line

A number line shows numbers in order from left to right. The most important step is to find the value of each equal interval.

Example: Place 700,000700{,}000 on a number line from 00 to 1,000,0001{,}000{,}000 with 10 equal intervals.

  1. Find the total distance from 00 to 1,000,0001{,}000{,}000:
1,000,000−0=1,000,0001{,}000{,}000-0=1{,}000{,}000
  1. Divide the total by the number of equal intervals:
1,000,000÷10=100,0001{,}000{,}000\div 10=100{,}000

Each interval represents 100,000100{,}000.

  1. Count by 100,000100{,}000 from zero:

0, 100,000, 200,000, 300,000, 400,000, 500,000, 600,000, 700,000, 800,000, 900,000, 1,000,0000,\ 100{,}000,\ 200{,}000,\ 300{,}000,\ 400{,}000,\ 500{,}000,\ 600{,}000,\ 700{,}000,\ 800{,}000,\ 900{,}000,\ 1{,}000{,}000

  1. Find 700,000700{,}000. It is the seventh interval after 00.

0  ∣  100,000  ∣  200,000  ∣  300,000  ∣  400,000  ∣  500,000  ∣  600,000  ∣  700,000  ∣  800,000  ∣  900,000  ∣  1,000,0000\; \vert \;100{,}000\; \vert \;200{,}000\; \vert \;300{,}000\; \vert \;400{,}000\; \vert \;500{,}000\; \vert \;600{,}000\; \vert \;\boxed{700{,}000}\; \vert \;800{,}000\; \vert \;900{,}000\; \vert \;1{,}000{,}000

So, 700,000700{,}000 belongs at the tick that is seven equal intervals from 00. The written digits are not enough by themselves—the size of each interval tells where the number belongs.

Learn by doing: Represent numbers on a number line

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    Number Line - Positive Integers, Read Number - From Ticks

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