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Explore subtraction by first reaching ten, then subtracting the remainder. Adjust the numbers and follow the counters and equation step by step.
Current mission
How much should be taken from 14 to reach 10?
Step down to ten
Extra ones
How much should be taken from 14 to reach 10?
Overview
Understand what the tool solves, how it works, and the boundaries of its data.
This visualizer demonstrates “subtract through ten,” also called bridging to ten in some elementary math materials. In a small whole-number subtraction problem with a starting value above 10, split the amount being subtracted: first remove enough to reach 10, then remove what remains.
For example, in 14 − 6, split 6 into 4 + 2. Subtract 4 to land on 10, then subtract 2: 14 − 4 − 2 = 10 − 2 = 8. The ten-frame and counters make the intermediate ten visible while the equation tracks the same steps. Ten is a waypoint, not a different answer.
The Institute of Education Sciences describes make-a-10 as a derived-fact strategy using base-ten structure. This subtraction example uses the related idea of decomposing the amount so the first move reaches ten.
The starting value ranges from 11 through 19. The amount subtracted ranges from 2 through 9. The visualizer begins with 14 − 6. Changing either value updates the difference, split amounts, counters, and step explanation.
Guide
Follow the workflow and verify inputs and outputs with practical examples.
Set the starting number and amount to subtract; begin with 14 and 6. For two take-away steps, choose an amount at least as large as the starting number minus 10; for 14, choose 4 or more.
Find how far 14 is above 10: that is 4. Split 6 into 4 and 2.
Advance the visual steps. The first part takes 14 to 10; the remainder takes 10 to 8. Read the ten-frame, counters, and equation as views of the same decomposition.
Use Previous, Next, Play, or Reset to control the sequence. Changing an input returns the sequence to its opening step.
a − b = a − (a − 10) − (b − (a − 10)) = 10 − (b − (a − 10))
The first amount removed is a − 10; the remainder of b is removed after reaching 10.
Use cases
See how the tool fits into real work and everyday tasks.
A teacher can pause at each stage of 14 − 6 to show why subtracting 4 first reaches a familiar benchmark before removing the remaining 2.
A learner can change values, follow the counters, and describe the split in their own words instead of seeing only the final difference.
Q&A
Find concise answers to common questions and confusing cases.
The split makes the first subtraction land on 10. In 14 − 6, taking 4 reaches 10, leaving 2 more to subtract.
This visualizer accepts starting values from 11 to 19 and subtraction amounts from 2 through 9. It is for small whole-number examples, not arbitrary multi-digit subtraction.
Ten is the benchmark. The diagram emphasizes reaching it, then shows the remainder being subtracted; the meaning of subtraction stays the same.
Notes
Review scope, result limitations, and important precautions before use.
The diagram illustrates one mental strategy for the values this page accepts. Other valid methods may suit a learner or problem better; this is not a test of the only preferred strategy. For a different range, use a representation suited to those numbers.
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