Lesson 11 Large Numbers on a Number Line

    • Let’s locate multi-digit numbers on a number line.

Warm-up Estimation Exploration: What Number Could This Be?

What number is represented by the point?

Number line. Scale 0 to 1 thousand, by hundreds. First tick mark, 0. Point between fourth and fifth tick marks, no label. Last tick mark, 1 thousand.

Record an estimate that is:

too low

about right

too high

Activity 1 Locate Large Numbers

  1. Locate and label each number on the number line.

    347

    Number line. First tick mark, 3 hundred. Last tick mark, 4 hundred.

    3,470

    Number line. First tick mark, 3 thousand. Last tick mark, 4 thousand.

    34,700

    number line. First tick mark, 30 thousand. Last tick mark, 40 thousand.

    347,000

    Number line. First tick mark, 3 hundred thousand. Last tick mark, 4 hundred thousand.
  2. Locate and label each number on the number line.

    347

    number line

    3,470

    Number line. Scale 3 thousand 4 hundred to 3 thousand 5 hundred, by tens. 

    34,700

    number line. Scale, 34 thousand to 35 thousand, by one thousands.

    347,000

    Number line. Scale, 3 hundred forty thousand to 3 hundred fifty thousand, by one thousands. 
  3. What do you notice about the location of these numbers on the number lines? Make two observations and discuss them with your partner.

Activity 2 So Many Numbers, So Little Line

Your teacher will assign a number for you to locate on the given number line.

A. 347

B. 3,470

C. 34,700

D. 347,000

  1. Decide where your assigned number will fall on this number line. Explain your reasoning.

    Number line. First tick mark, 0. Last tick mark, 4 hundred thousand.
  2. Work with your group to label the tick marks and agree on where each of the numbers should be placed.

    Number line. Scale, 0 to 4 hundred thousand, by hundred thousands. 

Practice Problem

Problem 1

  1. Locate and label each number on the number line:

    • 100,000

    • 10,000

    • 1,000

    Number line. 0 to 200,000. 
  2. Which numbers were easiest to locate? Which were most difficult? Why?