PEMDAS Meaning in Spanish | Clear Steps, Fewer Mistakes

En español, PEMDAS se entiende como “Paréntesis, Exponentes, Multiplicación y División, Adición y Sustracción”, siguiendo el orden de izquierda a derecha cuando toca.

PEMDAS is a memory hook for the order of operations. If you learned math in English, you’ve seen it on worksheets, posters, and calculator tips. When you switch to Spanish, the math stays the same, yet the words change, the classroom phrases change, and the way people talk about the rule can feel new.

This page translates PEMDAS into Spanish, then shows how Spanish-language classes usually describe the same idea: jerarquía de operaciones or orden de las operaciones. You’ll also see where learners slip up, how Spanish textbooks explain “left to right,” and how to read mixed expressions out loud in Spanish without losing your place.

What the letters map to in Spanish

In Spanish, you can keep the same letters and swap in Spanish math terms. Many Spanish lessons also use a close cousin acronym, PEMDSR, which spells out the last two steps as suma and resta. Khan Academy’s Spanish materials use PEMDSR and explain the same step order that English PEMDAS is pointing at. Repaso del orden de las operaciones (Khan Academy) is a clean reference for the Spanish wording and the left-to-right rule.

Spanish terms you’ll see most often

Spanish classes often talk about signos de agrupación (grouping symbols) rather than only “parentheses.” That umbrella includes parentheses ( ), brackets [ ], and braces { }. A Spanish worksheet may say “resuelve primero lo que está entre signos de agrupación,” meaning you start inside the grouping marks.

For exponents, you’ll see potencias (powers) and sometimes raíces (roots) grouped in the same tier. In many Spanish explanations, roots share the same priority level as exponents, since they’re both power-related operations.

One detail that trips people: M and D share a tier

Multiplication and division sit on the same rung. You don’t do all multiplication first and then division. You go left to right across that tier. The same goes for addition and subtraction. LibreTexts Español phrases it as doing multiplication and division first, moving left to right in the expression. Orden de Operaciones (LibreTexts Español) is a solid, classroom-style statement of that rule.

How Spanish teachers usually say “order of operations”

If you’re searching in Spanish, you’ll often get better results by using the phrase jerarquía de operaciones or orden de las operaciones rather than “PEMDAS.” The idea is the same: a shared convention so that two people reading the same line of math land on the same answer.

Spanish materials often add one more layer of clarity: they spell out what counts as grouping. A resource from UNAM’s math materials works through grouping symbols and practice exercises. Jerarquía de las operaciones y uso de paréntesis (UNAM) is a useful benchmark for the terms you’ll hear in Mexico and across Latin America.

Translation cheat sheet

Here are the Spanish words that match what PEMDAS is trying to remind you:

• P: paréntesis or signos de agrupación
• E: exponentes or potencias
• M: multiplicación
• D: división
• A: adición or suma
• S: sustracción or resta

Some teachers prefer saying the last two as “suma y resta,” since those are the everyday nouns students use. “Adición” and “sustracción” still show up in textbooks, so it’s worth recognizing both sets.

PEMDAS Meaning in Spanish with real classroom wording

When a Spanish worksheet says “respeta la jerarquía de operaciones,” it is telling you to do the same steps PEMDAS lists. The difference is mainly vocabulary and the way instructions are phrased.

Step 1: Grouping symbols first

Spanish problems may stack grouping symbols: { [ ( ) ] }. The inner one goes first. When you finish it, you replace that grouped chunk with its value, then keep going. If you see a fraction bar, treat it like a big set of parentheses: work the numerator and denominator, then divide.

Step 2: Exponents and roots

In Spanish you’ll hear “resuelve potencias” or “calcula exponentes.” If a power has a negative sign in front, be careful: -3² usually means the negative stays outside the square, while (-3)² squares the negative three. That tiny pair of parentheses changes the sign of the result.

Step 3: Multiplication and division, left to right

Spanish explanations often say “multiplicación y división de izquierda a derecha.” This line is doing heavy lifting. It means you scan the expression from left to right, applying × and ÷ as you meet them, once the higher tiers are done.

Step 4: Addition and subtraction, left to right

Same pattern: “suma y resta de izquierda a derecha.” If you treat subtraction as “adding a negative,” you still move left to right and keep the sign attached to the number you’re adding.

When calculators and programming languages talk about this, they may use the phrase “prioridad de operadores.” Spanish Wikipedia describes it as conventions that regulate the order used to evaluate an expression with multiple operators. Orden de evaluación (Wikipedia en español) is a handy overview if you want the broader framing beyond school arithmetic.

Common slips when reading PEMDAS in Spanish

Most mistakes come from speed, not from math ability. The fix is usually a tiny habit: mark tiers, then move in a straight line.

Mixing up the middle tier

If you multiply all the way across before you divide, you’ll get wrong answers on expressions like 18 ÷ 3 × 2. The correct move is left to right: 18 ÷ 3 = 6, then 6 × 2 = 12.

Forgetting implied multiplication

Spanish textbooks love implied multiplication: 3(2 + 5) or 2x. Treat the number next to parentheses as multiplication that happens after you finish the parentheses. So you do (2 + 5) first, then multiply by 3.

Letting the minus sign float

A minus sign can mean “subtract” or “negative.” When you rewrite a line, keep the sign glued to the number it belongs to. In Spanish, students often say “menos tres” as a single unit. That phrasing helps you keep it attached.

Skipping the check step

After you get an answer, do a fast reason check. If an intermediate step looks off—like a fraction turning into a larger number after dividing—pause and re-run that tier. This takes seconds and saves you from long chains of corrections.

Order of operations in Spanish: table you can copy

This table compresses the Spanish vocabulary and the action for each rung. Use it as a quick reference while you practice.

Rung	Spanish term	What you do
Grouping	Paréntesis / signos de agrupación	Solve inside ( ), [ ], { }, and treat a fraction bar like grouping.
Powers	Exponentes / potencias	Apply exponents after grouping is simplified.
Roots	Raíces	Evaluate roots at the same tier as powers.
Multiply	Multiplicación	Work left to right across × and implied multiplication.
Divide	División	Work left to right across ÷, keeping track of numerator/denominator changes.
Add	Suma / adición	Work left to right across + once the middle tier is done.
Subtract	Resta / sustracción	Work left to right across −; treat as adding a negative when it helps.
Tie-breaker	De izquierda a derecha	When two operations share a tier, move left to right without reordering.

How to say and write the steps in Spanish

Being able to read an expression out loud helps you slow down and catch tier mistakes. Spanish also has a few set phrases that show up in lessons and answer keys.

Phrases that match worksheet instructions

• Resuelve primero lo que está entre paréntesis.
• Calcula las potencias.
• Haz multiplicaciones y divisiones de izquierda a derecha.
• Termina con sumas y restas de izquierda a derecha.

If you’re writing steps for a teacher, Spanish solution lines often use “Luego” and “Después” as light transitions. They’re simple and they don’t get in your way.

Reading an expression without losing track

Try reading the symbols in Spanish as you go:

• ×: por
• ÷: dividido entre
• ²: al cuadrado
• ³: al cubo

Say the grouping marks, too: “abre paréntesis” and “cierra paréntesis.” It feels silly at first, yet it keeps your brain from skipping over them.

Practice set with worked order notes

Below is a practice table you can use as a mini drill. Cover the “Result” column, do the work on paper, then check yourself. Keep your steps short: rewrite the line after each tier so you can see the expression shrink.

Expression	Step order note (Spanish)	Result
8 + 12 ÷ 3 × 2	División y multiplicación, izquierda a derecha; luego suma	16
(5 + 7) × 3	Paréntesis; luego multiplicación	36
2² + 6 × 3	Potencias; luego multiplicación; luego suma	22
18 ÷ (3 + 3)	Paréntesis; luego división	3
4(2 + 6) − 5	Paréntesis; multiplicación implícita; luego resta	27
30 − 12 ÷ 4	División; luego resta	27
(-3)² − 9	Paréntesis; potencias; luego resta	0
16 ÷ 2²	Potencias; luego división	4

Self-check method for homework and tests

If you want one routine that keeps you steady, use this four-pass scan:

1. Circle or underline all grouping symbols and fraction bars.
2. Mark exponents and roots.
3. Scan left to right for × and ÷, writing each intermediate result.
4. Scan left to right for + and −, finishing the line.

On scratch paper, rewriting the expression after each pass is the move that makes everything calmer. Your work stays readable, and teachers can follow your steps.

Recap in Spanish terms

If you want a one-line Spanish reminder, write this at the top of your page: “Paréntesis, potencias, multiplicación y división, suma y resta; de izquierda a derecha.” It’s the same rule PEMDAS points to, just said the way Spanish classrooms tend to say it.