Lesson Worksheet: Modeling Thousandths Mathematics • 5th Grade

In this worksheet, we will practice representing thousandths using models, fractions, decimals, and words.


Look at how Benjamin showed twenty-six thousandths on a number line.

Which number line shows sixty-three thousandths?

  • A
  • B
  • C
  • D

Write sixty-three thousandths as a fraction.

  • A361,000
  • B1,00036
  • C631,000
  • D1,00063

Write sixty-three thousandths as a decimal.


The large cube below represents the number 1.

What decimal is represented by the shaded area of the model?


Which model represents fifty-seven thousandths?

  • A
  • B
  • C
  • D


Which fraction of the cube is shaded?

  • A701,000
  • B63100
  • C641,000
  • D531,000
  • E631,000

If the cube represents the number 1, what decimal is represented by the shaded fraction of the cube?


Write the fraction that the given model represents.

  • A3171,000
  • B1,000317
  • C1,000713
  • D7131,000
  • E7311,000


The large cube represents one whole. The shaded volume represents 65 thousandths. Write a decimal that represents the shaded volume.


If one cube represents one whole, express the shaded volume as a mixed number.

  • A2471,000
  • B1571,000
  • C1471,000
  • D1671,000
  • E2571,000


Write the decimal that matches the model.


The whole square represents 1. How many thousandths are shaded?

  • A0.613 thousandths
  • B613 thousandths
  • C713 thousandths
  • D0.713 thousandths
  • E6.13 thousandths

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