EDUCATION DECISION WORKBENCH
Check a digit at a stated power of ten, preserve the written decimal, and identify factor-of-ten errors.
Review output
Load the worked example to inspect realistic inputs, or enter anonymous, policy-approved information. Results remain in this browser tab until you copy or download them.
Transparent method
A digit value equals digit times 10 raised to the place exponent. Exponent 0 is ones; moving one place left adds one to the exponent and multiplies value by ten, while moving one place right subtracts one and divides value by ten. Missing positions beyond the written digits are treated as zero only for locating a position, not for changing the entered numeral. Correct means both the digit location and the numerical value agree. A prompt-position mismatch means the stated digit is not at that exponent in the written number, so the item itself should be checked. A factor-of-ten flag means the claimed value is ten times or one tenth of the expected nonzero value and points to a likely one-place shift.
Confirm the question, variables, units, source data, measurement precision, and the model expected by the current course or laboratory. Keep an untouched copy of observations before excluding or transforming any value.
Run the worked example first, inspect every intermediate row, compare units and signs, and look for a result that conflicts with the graph, physical system, chemical equation, or learning objective.
Record the method, assumptions, units, rounding, data limitations, and any excluded observations. Compare the exported report with an independent calculation or approved reference before assessment or laboratory use.
How to interpret the result
Use this diagnostic when learners confuse the name of a digit with its value, shift the decimal in the wrong direction, or treat a zero placeholder as insignificant. Multiple rows can reveal a consistent factor-of-ten pattern across whole and fractional places. It is a review aid rather than a learner label, and a concrete place-value chart or base-ten representation should follow repeated errors.
In 45.307, the digit 3 at exponent -1 has value 0.3. In 0.084, the digit 8 at exponent -2 has value 0.08. The 5 in 120.05 is at exponent -2 and therefore has value 0.05, so the entered claim 0.5 is flagged as a factor-of-ten misconception. The final row verifies 2 hundredths in 7.02.
A digit value equals digit times 10 raised to the place exponent. Exponent 0 is ones; moving one place left adds one to the exponent and multiplies value by ten, while moving one place right subtracts one and divides value by ten. Missing positions beyond the written digits are treated as zero only for locating a position, not for changing the entered numeral.
Correct means both the digit location and the numerical value agree. A prompt-position mismatch means the stated digit is not at that exponent in the written number, so the item itself should be checked. A factor-of-ten flag means the claimed value is ten times or one tenth of the expected nonzero value and points to a likely one-place shift.
Do not count the decimal point as a place, call tenths exponent 1, remove placeholder zeros before locating digits, confuse digit 5 with value 5, or use rounded floating output as the teaching explanation. Read places from the ones position, write expanded form, compare adjacent place values, and use a visual model when conceptual evidence is needed.
Learning boundary
This browser-local workbench calculates only from the entered model and observations. It cannot validate an experiment, balance an equation, establish causation, certify laboratory safety, diagnose learning, or replace the method required by a teacher, curriculum, laboratory, or institution.
Review checklist
Practical questions
No. The calculation runs in the current browser tab. Avoid personal information and retain laboratory data in the system authorized by the school.
Treat it as an editable analysis aid. Show your own reasoning, cite the required sources, follow academic-integrity rules, and use the method requested by your course.
No. Check dimensions, graph shape, assumptions, measurement uncertainty, significant figures, and whether another model explains the observations better.
YOUR NIRMION
