Rounding whole numbers to any place

Did rounding twice change it?

Compare direct rounding with rounding an already rounded intermediate value.

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6 practice questions · Optional read aloud · Thinking pad

Let’s understand the idea.

  1. The requested place is rounded directly from the original exact number.
  2. A repeated route changes the input before the final rounding.
  3. That intermediate change can cross a midpoint and change the final estimate.
  4. Some routes happen to agree. Agreement in one example does not make repeated rounding reliable for every original.

Something to notice

Ask the learner to point to the input used by every arrow. Compare one case whose routes differ with one whose routes agree. Invite an explanation of whether the intermediate result crossed a final midpoint, then try an unfamiliar number.

Try it. Change it. Explain it.

Open the lesson to use its pictures and controls. In How it works, connect the picture to the idea. In Play & discover, change the quantities and notice what stays the same. In Your turn, answer questions and use the explanation to check your reasoning.

You can ask for help, draw on the thinking pad, or listen to the question and answer options. Progress distinguishes independent work from work completed with help.

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Curriculum connection

Grade 4 · 4.NBT · US Common Core

4.NBT.A.3

This lesson is mapped to these standards. A completed activity is practice evidence, not a claim of mastery. Content is checked against the linked official standards and its mathematical models are tested.

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