Examples

SumWise Examples

English Ask examples and explicit results

Select English in Ask for these examples; each needs Interpret → Insert calculation → separate calculator Enter.

How far do I travel at 55 mph for 2.5 hours?

Expected: 137.5 mi, assuming the stated speed is the journey average.

Convert 2.5 hours to minutes.

Expected: 150 minutes.

What is 18% of 450?

Expected: 81. For ordinary mathematical input, continue with the existing examples below.

Explore the 3.1 workflow

Ask a supported English math question, review/edit its interpretation, Insert calculation, then press Enter in the calculator. For 3D, open SumWise → Plot 3D surface… and explicitly Plot. The interface and bounded Ask support English, Spanish, French and German. Interface changes apply next launch; Ask language has its own selector.

Ask a supported English math question · Plot and inspect a 3D surface · 3.1 feature notes

Quantity examples for SumWise 3.1

Copy an expression alone, then press Enter. Use the Store edition of SumWise 3.1 for these workflows.

5[m] + 30[cm]

in_unit(100[km]/2[h],km/h)

sqrt(9[m^2])

sqrt(2[m^2])

Square roots give Exact 3 m and Approx about 1.41421356237 m. Exact/Approx describe represented arithmetic, not measurement certainty. Use Examples → Guided formulas → Compare scenarios for Current, varying Resistance from 1 to 4 ohm, with fixed 12 V and 24 V. Explicitly Generate four Values positions: current columns 12, 6, 4, 3 A and 24, 12, 8, 6 A. All sampled results remain Approx.

Start with one complete workflow for the released SumWise 3.1 Store edition: compare electrical scenarios, retain a mechanical variation, or inspect a small regression. The reference commands below remain available for shorter checks.

Compare ideal resistor current at 12 V and 24 V

Use synthetic voltages and positive resistance to explore I = V/R for an ideal ohmic resistor. This released SumWise 3.1 Store workflow compares resistance from 1 to 4 ohm; it is an illustrative calculation, not component selection, circuit simulation or safety advice.

Enter this single check in the calculator input, then press Enter.

12[V]/4[ohm]

The expected current is 3 A: voltage divided by resistance has current dimensions.

Enter the comparison below, then press Enter to create the graph.

graph_quantity_compare(ohm,A,1[ohm],4[ohm],12[V]/x,24[V]/x)

Alternatively, open Examples → Guided formulas and choose Compare scenarios, Current through an ideal resistor, Find Current, Vary Resistance. Enter two fixed voltages, 12 V and 24 V; set the range to 1–4 ohm and axes to ohm/A. Review assumptions and Prepare comparison, then Insert into calculator. Neither Prepare nor Insert evaluates: press Enter in the main input.

Open Values for this graph. Set lower 1, upper 4 and four positions, then explicitly Generate.

Expected generated Values (all graph/table samples are Approx)
Resistance (ohm)	At 12 V (A)	At 24 V (A)
1	12	24
2	6	12
3	4	8
4	3	6

Doubling voltage doubles current at each fixed resistance in this model. The descending curves show the inverse relationship; samples are not exact-root or measurement-certainty claims.

Approved SumWise 2.6 comparison screenshot showing generated current Values for the 12 V and 24 V scenarios. — The existing 2.6 comparison capture illustrates Values; use the 1–4 ohm range specified above for this exercise.

Save the supported graph and calculations to a .sumwise workspace. Open it again to recover the saved snapshot, visibility, viewport and approximate pin. Generate Values again: the table is temporary.
For presentation, open Export Analysis Report. Select the recorded calculation, the supported quantity comparison and, if wanted, its current generated table. Prepare/preview, then export the selected offline HTML report.

The HTML report is a presentation snapshot, not an editable workspace or live dependency. Exporting does not save the workspace. Changing an input variable does not automatically update a saved comparison.

Next: graph inspection and sharing · supported workspace and report scope.

Try this released Store workflow

SumWise Desktop is US$24.99 one-time, with no Desktop subscription. The full-featured seven-day trial is available through Microsoft Store only.

See Direct purchase and delivery details · Try for 7 days on Microsoft Store

Before Direct payment, contact SumWise to confirm the supplied version and agree delivery timing. The initial Direct download is unsigned; Windows may warn or block it. Do not disable Windows security. These examples do not establish the version delivered through Direct.

Compare kinetic energy and save a separate variation

For a synthetic mass of 2 kg moving at 3 m/s, classical translational kinetic energy E = m·v²/2 is 9 J. Doubling the speed to 6 m/s gives 36 J. Assume a fixed reference frame, positive constant mass and nonrelativistic speed; this is not rotational energy, design certification or measurement validation.

Use the released guided formula, so the application prepares its supported expression and compatible output units:

Open Examples → Guided formulas. Choose Classical kinetic energy in single-calculation mode and Find Energy.
Enter mass 2 with unit kg and speed 3 with unit m/s. Choose J for the result unit.
Review the relationship and assumptions, then Prepare. Inspect the generated expression.
Insert into calculator, then press Enter. Prepare and Insert alone do not calculate. The result represents 9 J.
Save the calculations as a .sumwise workspace, for example energy-3ms.sumwise.
Return to the helper and change only speed to 6 m/s. Prepare, Insert and press Enter again. The new result represents 36 J.
Use Save As with a distinct filename, such as energy-6ms.sumwise, to retain the original file alongside the variation. Reopen either workspace to review its own retained calculations.

Dimensionally, kg·(m/s)² is energy, equivalent to J. The ratio is (6/3)² = 4: speed is squared, not simply multiplied once. These are semantic expected results, not a promise of a particular display spelling. Exact represents the arithmetic of the entered numbers; it does not make measured mass or speed exact.

The workspace retains inserted/evaluated calculations and supported variables/state. Uninserted guided fields are temporary. Saving a variation is not a live link to the original. An offline report can share selected recorded calculations; exporting a presentation does not save editable work.

Next: conversion versus quantity arithmetic · what Save and Save As preserve.

Try this released Store workflow

SumWise Desktop is US$24.99 one-time, with no Desktop subscription. The full-featured seven-day trial is available through Microsoft Store only.

See Direct purchase and delivery details · Try for 7 days on Microsoft Store

Check five paired observations

Enter X = 1, 2, 3, 4, 5 and Y = 2, 4, 5, 4, 5 manually, read the slope/intercept matrix and inspect the fitted line. Follow the worked regression example; it uses PNG and workspace sharing, not the quantity-only graph report.

Related use-case guides

Exact fraction arithmetic

Enter 1/3 + 5/6 to get 7/6. For an exact ratio, fraction(1000/60) gives 50/3. The mixed() form separates a whole number and its remaining fraction; approx_fraction() instead approximates a decimal input. These are different operations, so retain an exact expression when its rational value matters.

Symbolic Math

1/3 + 5/6

expand((x+2)*(x+3))

simplify(2*x + 3*x)

simplify(3*x/2 + x/2)

factor(x^2 + 5*x + 6)

roots(x^2 + 5*x + 6)

solve(x^2 = 4, x)

derivative(sin(x^2))

integrate(x^2)

See the verified simplify() and expand() reference pages for results and current limitations.

Graphing And Visual Calculus

graph sin(x), derivative(sin(x)) from -6.28 to 6.28

graph_tangent(x^2, 3) from -2 to 6

graph_area(sin(x), 0, pi) from -1 to 4

graph_roots(x^2 - 1) from -3 to 3

graph_extrema(x^3 - 3*x) from -3 to 3

tangent_line(x^2, x, 2)

definite_integral(x^2, x, 0, 3)

critical_points(x^2 - 4*x + 4, x)

extrema(x^2 - 4*x + 4, x)

Statistics And Regression

mean(vector(1,2,3,4))

standard_deviation(vector(1,2,3,4))

correlation(vector(1,2,3), vector(2,4,6))

linear_regression(vector(1,2,3), vector(2,4,6))

Units, Constants, Matrices, And Vectors

For input shapes and expected results, see the matrix and vector guide. Vector length here means entry count, not Euclidean magnitude.

100km/h to mph

convert(100, C, F)

convert(1, mile, km)

vector(1,2,3,4)

matrix(2, 2, 1, 2, 3, 4)

Exact, Mixed, And Approximate Fractions

fraction(1000/60)

mixed(1000/60)

approx_fraction(0.3333333333)

approx_mixed(16.6666667)

Continue in SumWise

Try every feature free for seven days through Microsoft Store.

Try SumWise free for 7 days