Standard left-to-right
16
Multiplication and division share priority, so evaluate from left to right.
A better way to solve the fast ones
Slow down the two-second puzzle.
Compare the conventions, see the fork in the reasoning, and leave with an answer you can actually defend.
Your expression
Your reasoning card will appear here after analysis.
Two valid readings
Grouped multiplication
1
Read 2(2 + 2) as a single denominator after the division sign.
Honest takeaway
When the notation is compressed, the disagreement is about grouping, not arithmetic. Add parentheses when you want one answer.
When the notation is compressed, the disagreement is about grouping, not arithmetic. Add parentheses when you want one answer.
Make the hidden step visible.
This lens does not pretend a screenshot contains more information than it does. It shows the expression you entered, runs two named interpretations, and keeps your chosen convention attached to the exported card.
That makes the next puzzle faster: less guessing, more explaining.
Explicit arithmetic, source grouping and honest local reasoning cards
Read the explanation
For the explicit source example eight divided by two times parentheses two plus two, the parentheses give four. Division and multiplication in this JavaScript expression then proceed left to right: eight divided by two gives four, and four times four gives sixteen. Bars at twenty pixels per unit compare four with sixteen, eighty pixels versus three hundred twenty. This is a calculation for the displayed expression, not evidence that every compressed notation has a uniquely intended reading. The source alternative splits at the first slash. For the same example it uses eight as numerator and two times parentheses two plus two as denominator. Two times four gives eight, so eight divided by eight is one. At twenty pixels per unit, equal numerator and denominator bars are one hundred sixty pixels each; the result-one bar is twenty pixels. This source-specific rule groups all remaining arithmetic after the first slash, even later division or addition. It is an implemented comparison rule, not a universal algebra parser. Analyze stores the last successful expression and chosen reading. Invalid input keeps old answers; Copy can combine the currently edited expression with those old answers. The source zero-denominator text filter also rejects one divided by zero point five despite its mathematical validity, and grouped results can become Infinity or NaN. The real card includes its physical generation timestamp. Reset restores the supplied sixteen-versus-one example and clears selection. This is a local educational lens, not a validated general calculator or model API.