Can changing the number of tokens leave the represented cargo unchanged?
Your discovery goalExplain how adjacent place-value exchanges preserve a represented quantity, perform regrouped subtraction, and verify it by the inverse operation.
A prediction is a starting idea. You can revise it after exploring.
02
Change something. Notice what happens.
Preparing your interactive workspace…
03
Test the idea.
04
Explain your discovery.
A researcher’s debrief
Make a claim that answers the mission question.
Use a result from your investigation as evidence.
Explain why that evidence supports the claim.
Name a limitation or an observation that could change your mind.
Use at least 40 characters and include an observation. Your writing is saved as evidence; it is not automatically judged for accuracy.
What counts as completing this lab?
A prediction of at least 8 characters.
At least one interaction with the workspace.
A correct knowledge-check answer, with retries allowed.
Regroup, dispatch the shipment and verify the remaining ledger by addition.
Correct a new through-zero subtraction and justify a valid regrouping.
A reflection of at least 40 characters.
This records completion of this demonstration. It is not an official grade or a claim of mastery.
Start with a short prediction.
The idea behind the experiment
Make sense of what you saw.
Exchange ten-for-one tokens, conserve a visible cargo ledger and regroup through empty places before dispatching a shipment.
Explain how adjacent place-value exchanges preserve a represented quantity, perform regrouped subtraction, and verify it by the inverse operation.
How to give a useful explanation
State what you changed. Describe the result using an observation from the model. Connect the observation to the idea you are learning, then try a different case to test your explanation.
Current official chapter body inspected before authoring; exact SHA and decomposition in BATCH3-PRIMARY-MATH-SOURCES.md. Selected bounded objective only; original tasks and diagrams. Educator review and complete chapter coverage remain pending.
Current official chapter body inspected before authoring; exact SHA and decomposition in BATCH3-PRIMARY-MATH-SOURCES.md. Selected bounded objective only; original tasks and diagrams. Educator review and complete chapter coverage remain pending.
Checked 2026-10-21 Printed pp.43–44, 47–50
Mapping scope: Tokens model exact whole-number cargo units in five place columns. A token is a labelled quantity, not one physical box. Valid exchanges preserve value; dispatch deliberately removes value. This original task maps selected place-value and regrouping objectives from NCERT V, not every travel puzzle or number skill.
The explanations, models and assessments on labs.bodhiclasses are original learning activities. An official reference establishes curriculum context; it does not imply approval of this activity by CBSE or NCERT.
Investigation 01
Repack without losing cargo
Regroup a cargo ledger, dispatch a shipment, and check the remaining quantity by addition.
Shipment columns require 0 ten thousands, 1 thousand, 7 hundreds, 5 tens, 8 ones. You must actually exchange tokens before dispatch; typing the answer alone cannot supply evidence.
Original cargo4,023
Represented value4,023
Actual tokens across all columns9
ten thousands
00 × 10,000 = 0 units
thousands
44 × 1,000 = 4,000 units
hundreds
00 × 100 = 0 units
tens
22 × 10 = 20 units
ones
33 × 1 = 3 units
The small squares are token samples; the labelled number states the exact count. Each column's label determines each token's value.
Investigation 02
Transfer: regroup through empty places
A different station holds 7,004 cargo units and sends 2,856. A trainee subtracts the smaller digit from the larger in each column and reports 5,852. Test that report and supply a checked replacement.
About this model
Tokens model exact whole-number cargo units in five place columns. A token is a labelled quantity, not one physical box. Valid exchanges preserve value; dispatch deliberately removes value. This original task maps selected place-value and regrouping objectives from NCERT V, not every travel puzzle or number skill.