Repeated addition is adding the same number again and again. It is one way to understand multiplication: 3 + 3 + 3 + 3 = 4 × 3 = 12. The number of times you add is one factor, and the number being added is the other. It only works when all the addends are equal.
In Spanish
suma repetida
Also called
adding equal groups, equal groups
Grade level
K-5
Grade 2Grade 3CCSS 2.OA.C.4CCSS 3.OA.A.1
Repeated Addition in a picture
Adding 3 four times is the same as 4 groups of 3, written 4 × 3. Multiplication is a shortcut for repeated addition of equal groups.
Formal definition and notation
For a whole numbern ≥ 1 and any numbera, n × a equals the sum of naddends each equal toa: n × a = a + a + ⋯ + a (n times). This is the equal-groups model of multiplication: n groups of a objects. It is a definition for whole-number n; for fractional factors such as 12 × 6, multiplication is extended in other ways.
Symbol
Read it as
Meaning
a + a + ⋯ + a
a plus a, and so on
the dots mean the addends continue in the same pattern
n × a
n times a
n groups of a
Key facts
Count the addends to get the number of groups: 8 + 8 + 8 has 3 addends, so it is 3 × 8.
Skip counting is repeated addition said aloud: 5, 10, 15, 20 is 4 × 5.
Each row of an array is one addend: 3 rows of 7 is 7 + 7 + 7 = 21.
Repeated addition of a negative gives a negative: (−2) + (−2) + (−2) = 3 × (−2) = −6.
Repeated multiplication is a power: 2 × 2 × 2 = 23, just as repeated addition is a product.
Repeated addition as multiplication
Repeated addition as multiplication
a + a + ⋯ + a = n × a (with n addends)
n
the number of equal groups (how many addends)
a
the size of each group (the repeated addend)
6 + 6 + 6 + 6 + 6 = 5 × 6 = 30.
Repeated Addition examples, step by step
Example 1: Write it as multiplication
Warm-up
Write 9 + 9 + 9 + 9 + 9 as a multiplication and find the total.
Count the addends: there are 5 nines.
5 groups of 9 is 5 × 9.
5 × 9 = 45.
Answer:5 × 9 = 45
Example 2: Equal groups story
Core
A bike rack has 6 bikes. Each bike has 2 wheels. Write a repeated addition and a multiplication for the total number of wheels.
Each bike adds 2 wheels, 6 times: 2 + 2 + 2 + 2 + 2 + 2.
That is 6 groups of 2: 6 × 2.
6 × 2 = 12.
Answer: There are 12 wheels.
Example 3: Spot the impostor
Test-style
Which sum can be written as 4 × 7? (A) 4 + 7 (B) 7 + 7 + 7 + 7 (C) 4 + 4 + 4 + 4 (D) 7 + 7 + 7 + 4
4 × 7 means 4 groups of 7, so we need four addends of 7.
(B) has exactly four 7s: 7 + 7 + 7 + 7 = 28.
(A) adds once, (C) is 4 × 4, and (D) has unequal addends.
Answer: (B) 7 + 7 + 7 + 7 = 28
Common mistakes
✗ Mistake5 + 5 + 5 = 5 × 5
✓ InsteadThere are 3 addends, so 5 + 5 + 5 = 3 × 5 = 15.
The number of addends is a factor. Count the addends instead of copying the number being added.
✗ Mistake4 × 6 = 4 + 6 = 10
✓ Instead4 × 6 = 6 + 6 + 6 + 6 = 24.
Multiplying adds one factor as many times as the other factor says, not just once.
✗ Mistake2 + 3 + 4 = 3 × 3
✓ InsteadUnequal addends are not repeated addition: 2 + 3 + 4 = 9 happens to match here, but 2 + 3 + 6 = 11 is not 3 × 3.
Repeated addition needs equal groups.
Not to be confused with
Repeated Additionvs.Skip counting
Skip counting lists the running totals (4, 8, 12, 16); repeated addition writes the sum (4 + 4 + 4 + 4 = 16).
Answer: C. There are 6 addends of 8, so it is 6 × 8 = 48. 8 × 8 counts the wrong number of groups, 8 + 6 adds once, and 86 is repeated multiplication.
Question 2 of 3
What is 4 × 12 as a repeated addition?
Show answer and explanation
Answer: A. 4 groups of 12 is 12 + 12 + 12 + 12 = 48. 4 + 12 adds once, 4 + 4 + 4 + 4 is 4 × 4, and D mixes unequal addends.
Question 3 of 3
Tickets cost 7 dollars each. Leo buys 5 tickets. Which shows the total cost?
Show answer and explanation
Answer: D. Each ticket adds 7 dollars, 5 times: 5 × 7 = 35. A adds once, B adds the number of tickets instead of the price, and C pays for only four tickets.
Repeated Addition: frequently asked questions
Is multiplication just repeated addition?
For whole numbers, yes: 4 × 6 is 6 + 6 + 6 + 6. But multiplication means more than that. You cannot add 6 “one-half times”, yet 12 × 6 = 3 makes sense as half of 6. Multiplication also describes area, scaling and arrays, so repeated addition is the first model students learn, not the whole story.
How do you write repeated addition as multiplication?
Count how many times the number is added, then multiply that count by the number. For 11 + 11 + 11, the number 11 appears 3 times, so write 3 × 11 = 33. The count is the number of groups and the repeated number is the size of each group.
Updated November 2026·Reviewed by the Effortless Math team·Standards: CCSS 2.OA.C.4, CCSS 3.OA.A.1
Cite this entry
Effortless Math Team. “Repeated Addition.” Effortless Math Dictionary. Updated November 2026. https://www.effortlessmath.com/math-dictionary/repeated-addition/
Flashcard
TermRepeated Addition3 + 3 + 3 + 3
DefinitionAdding the same number again and again. 3 + 3 + 3 + 3 is 4 groups of 3, so it equals 4 × 3 = 12.
MultiplicationMultiplication is the operation that combines equal groups to find a total. The fact 4 × 6 = 24 means 4 groups of 6, or 6 + 6 + 6 + 6. The numbers you multiply are called factors, and the result is the product. Order does not matter: 6 × 4 is also 24.Operations · Grade 2, Grade 3, Grade 4Whole NumberA whole number is 0 or a positive counting number: 0, 1, 2, 3, and so on. Whole numbers do not include fractions, decimals, or negative numbers, so 12 is a whole number but 8.5, 34 and −3 are not. Every whole number is also an integer.Number System · Grade 3, Grade 4, Grade 5NumberA number is an amount or value used to count, measure, order and compare. We write numbers with digits (7), words (seven) or other symbols, but the number itself is the amount: 7 dots, the word seven and the numeral 7 all show the same number. Numbers include whole numbers, fractions, decimals and negatives.Number System · Kindergarten, Grade 1, Grade 2AddendAn addend is any number that is added to another number. In 8 + 5 = 13, the addends are 8 and 5, and 13 is the sum. An addition can have two or more addends, and you can add them in any order. When one addend is missing, subtract the known addend from the sum to find it.Operations · Grade 1, Grade 2, Grade 3Equal ToEqual to means having exactly the same value or amount, and it is written with the symbol =. Numbers that look different can still be equal to each other: 12 is equal to 0.5. When two amounts are not the same, one is greater than or less than the other.Symbols and Notation · Kindergarten, Grade 1, Grade 2Skip CountingSkip counting is counting forward or backward by the same number each time instead of by 1, such as 2, 4, 6, 8 or 5, 10, 15, 20. Each jump adds the same amount, so skip counting by 5 six times reaches 6 × 5 = 30. It is a quick way to count groups and learn multiplication facts.Number System · Kindergarten, Grade 1, Grade 2ArrayAn array is an arrangement of objects in equal rows and equal columns, forming a rectangle. A 4 by 6 array has 4 rows of 6, so it holds 4 × 6 = 24 objects. Arrays show multiplication as equal groups, and turning one sideways shows that 4 × 6 = 6 × 4.Operations · Grade 2, Grade 3, Grade 4PowerA power is a number written as a base with an exponent, such as 53, or the value that results, 53 = 5 × 5 × 5 = 125. We say 125 is the third power of 5, or “5 to the third power”. The second power is called the square and the third power the cube.Number System · Grade 5, Grade 6, Grade 7ExponentAn exponent tells how many times to use a base as a factor. It is the small raised number to the upper right of the base: in 53, the base is 5 and the exponent is 3, so 53 = 5 × 5 × 5 = 125. Any nonzero number with an exponent of 0 equals 1.Algebra · Grade 6, Grade 7, Grade 8AdditionAddition is the operation that puts amounts together to find the total. The numbers you add are called addends, the answer is the sum, and the sign is the plus sign, +. For example, 7 + 5 = 12. On a number line, adding a positive number means moving to the right.Operations · Kindergarten, Grade 1, Grade 2Multiplication TableA multiplication table is a grid that lists the products of pairs of numbers, usually 1 to 10 or 1 to 12. To read it, find one factor along the top row and the other down the left column; the box where they meet is the product. Row 6 meets column 7 at 42, since 6 × 7 = 42.Operations · Grade 2, Grade 3, Grade 4Commutative PropertyThe commutative property says that changing the order of the numbers does not change the result of adding or multiplying them: a + b = b + a and a × b = b × a. For example, 4 + 9 = 9 + 4 and 3 × 5 = 5 × 3. Subtraction and division are not commutative.Operations · Grade 1, Grade 3, Grade 6Area ModelAn area model is a rectangle used to multiply or divide, with each side broken into place-value parts. To find 23 × 14, split the sides into 20 + 3 and 10 + 4, find the area of each smaller box (200, 30, 80, 12) and add these partial products: 322.Operations · Grade 3, Grade 4, Grade 5ProductThe product is the answer you get when you multiply two or more numbers. In 4 × 6 = 24, the product is 24, and 4 and 6 are the factors. In word problems, the words “product of” always mean multiply, so “the product of 3 and 7” is 21.Operations · Grade 3, Grade 4, Grade 5