Expanded place value
placevalue 305
Each digit times its power of ten
Student math guide
Choose a problem type and copy its example into the calculator. These are calculation tools, not a complete curriculum or automatic proof checker. Grade bands are approximate and vary by curriculum.
Use comma-separated numbers for formula commands and semicolons where shown. All examples work offline except live currency conversions. Equations use one unknown unless the system command is used.
Arithmetic word problems
Paste a short English question with explicit amounts. Supported patterns include combining quantities, taking away, equal groups and equal sharing. The result shows the interpreted equation so you can check it.
Maya has 12 red beads and 3 blue beads. How many beads does Maya have in total?Number words zero through twenty and comma-grouped amounts are supported. Multi-step stories, irrelevant quantities, comparisons and complex wording may need you to enter the equation. This is a bounded pattern parser, not unrestricted language understanding.
Grades 1-5: numbers
Arithmetic and fractions
1/2 + 3/4
Exact fraction plus decimal; + - * / and parentheses
Grades 1-5: measurement
Clock elapsed time
clock 09:15 to 10:45
Minutes; 24-hour format, forward within a day
Grades 1-5: geometry
Rectangle perimeter
perimeter rectangle 3,4
2*(length+width)
Areas
triangle 8,5
Base,height; also circle radius and rectangle length,width
Grades 6-8: number theory
GCD, LCM and ratios
gcd 48,18
Also lcm 12,18 and ratio 12,18
Grades 6-8: algebra
Missing number
3*(x+2)=21
Balance equations; ? and blank also accepted
Grades 6-8: geometry
Pythagoras
hypotenuse 3,4
Two perpendicular legs; sqrt(a^2+b^2)
Surface area
surface cylinder 2,3
Radius,height; closed cylinder. Also cube, cuboid, sphere
Volume
sphere 3
Radius; also cylinder r,h; cone r,h; cuboid l,w,h
Grades 6-8: statistics
Mean, median, mode, range
mode 1,2,2,3
Also mean, median, range, variance and stddev; population variance
Grades 6-8: rates
Unit conversion
36 kilometers per hour to meters per second
Compatible dimensions only; currency requires optional rates
Grades 9-12: algebra
Polynomial equations
x^3-4x^2+6x-24=0
Distinct approximate real roots through degree 8; quadratic/cubic complex pairs where supported
Linear inequality
inequality -2x+3>7
Single variable, constant denominators, < > <= >=
Simultaneous linear equations
system 1,1,5; 1,-1,1
Rows a,b,c mean ax+by=c; 3 variables need four entries per row
Grades 9-12: sequences
Arithmetic sequence
arithmeticterm 2,3,5
First term,difference,n; arithmeticsum for sum of n terms
Geometric sequence
geometricsum 3,2,4
First term,ratio,n; geometricterm for nth term
Grades 9-12: coordinates
Distance, midpoint, slope
distance 0,0,3,4
x1,y1,x2,y2; use midpoint or slope for those operations
Grades 9-12: trigonometry
Degree trigonometry
sind 30
sind, cosd, tand take degrees; sin(), cos(), tan() take radians
Grades 9-12: logarithms
Change of base
logbase 8,2
Value,base; ln(), log(), exp() supported in arithmetic
Grades 9-12: vectors
Dot product
dot 1,2,3; 4,5,6
Also vectoradd a,b; c,d and vectorlength a,b
Grades 9-12: probability
Combinations and permutations
choose 5,2
Also permutations 5,2; factorial 5
Binomial distribution
binomial 4,0.5,2
n,p,k: choose(n,k)*p^k*(1-p)^(n-k)
Grades 9-12: growth
Compound interest
compoundinterest 1000,5,2,12
Principal,annual percent,years,compounds/year; final balance
Grades 9-12: calculus
Polynomial derivative
differentiate x^3+2x
Power rule; polynomials in x only
Polynomial integral
integrate x^2; 0,3
Lower,upper bounds; omit bounds for antiderivative + C
Polynomial finite limit
limit x^2+1; 2
Continuity: substitute the finite point; polynomial limits only
Grades 9-12: functions
Polynomial evaluation
evaluate x^3-4x; 3
Polynomial; x-value
Current limits
No automatic geometry proofs, diagram or clock-face recognition, unrestricted word-problem solving, symbolic trigonometric identities, general limits, general symbolic calculus, normal-distribution inference, or arbitrary nonlinear systems. Polynomial roots are approximate; close roots can need higher precision. Degree 4-8 equations list real roots only. Rational-equation complex roots are not listed. Repeated roots appear once, and denominator exclusions remain in force.
For the example x^3-4x^2+6x-24=0, factoring gives (x-4)(x^2+6)=0: x=4 and x=+/-sqrt(6)i.