From Repeated Addition to Multiplication

Core Concepts

Discover how multiplication is a fast shortcut for repeated addition. Learn to read, write, and understand multiplication sentences using the '×' symbol.

Next Steps in Concept of Equal Groups
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Counting with Repeated Addition
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From Repeated Addition to Multiplication

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What is a faster way to write a repeated addition sentence like \(4 + 4 + 4\)?
As a multiplication sentence: \(3 \times 4\).
What does the multiplication sentence \(3 \times 4\) mean?
It means '\(3\) groups of \(4\)' or '\(3\) times \(4\)'.
How do you write '\(4\) groups of \(5\)' as a multiplication sentence?
$$4 \times 5$$
What symbol do we use for multiplication to mean 'groups of'?
The times sign: \(\times\)
Read this sentence out loud: \(2 \times 6 = 12\).
"Two times six equals twelve" or "Two groups of six make twelve."
In the sentence \(3 \times 5 = 15\), what does the number \(3\) tell you?
The number of groups.
In the sentence \(3 \times 5 = 15\), what does the number \(5\) tell you?
The number of items in each group.
In the sentence \(3 \times 5 = 15\), what does the number \(15\) tell you?
The total number of items.
Write the repeated addition sentence \(2 + 2 + 2 + 2\) as a multiplication sentence.
$$4 \times 2$$
Write the multiplication sentence \(3 \times 7\) as a repeated addition sentence.
$$7 + 7 + 7$$
$$5 \times 2 = ?$$
$$10$$ (This is the same as \(2+2+2+2+2\))
There are \(6\) pairs of socks. A pair means \(2\). How can you write this as a multiplication sentence?
$$6 \times 2$$
Change this repeated addition to multiplication: \(8 + 8 + 8\).
$$3 \times 8$$
Change this multiplication to repeated addition: \(5 \times 4\).
$$4 + 4 + 4 + 4 + 4$$
If you see \(4 \times 6\), how many groups are there?
There are \(4\) groups.
If you see \(4 \times 6\), how many are in each group?
There are \(6\) in each group.
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