Extra Practice: Multiplication & Division Tricks

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Unit 1: Whole Number Foundations

Extra Practice: Multiplication & Division Tricks

What is Multiplication?

Multiplication is a shortcut for repeated addition.

Instead of adding the same number over and over, we can multiply!

4 + 4 + 4 = 12

is the same as...

3 x 4 = 12

What is Division?

Division is the opposite of multiplication. It means sharing fairly or splitting into equal groups.

"If we have 12 items and want to make 3 equal groups, how many items are in each group?"

12 ÷ 3 = 4

The Multiplication Table

This is your most powerful tool. Knowing it by heart makes math much faster!

× 12345678910

The blue squares are "perfect squares" (\(1\times1, 2\times2\), etc.).

The Flip Trick (Commutative Property)

You can flip the factors in a multiplication problem, and the answer stays the same!

3 x 8 = 24

is the same as

8 x 3 = 24

This means you only need to memorize about half of the multiplication table!

Tips & Tricks: The Easy Ones

Multiplying by 0

Any number times zero is always 0. (e.g., \(7 \times 0 = 0\))

Multiplying by 1

Any number times one is always itself. (e.g., \(9 \times 1 = 9\))

Multiplying by 10

Just add a zero to the end of the other factor. (e.g., \(6 \times 10 = 60\))

More Tips: 2s, 5s, and 11s

Multiplying by 2

This is just doubling the number. (e.g., \(8 \times 2 \rightarrow 8 + 8 = 16\))

Multiplying by 5

The answer will always end in a 0 or a 5. Think of a clock!

Multiplying by 11 (up to 9)

For a single digit, just write that digit twice. (e.g., \(4 \times 11 = 44\))

Let's Practice Together

Problem: 42 ÷ 6 = ?

1. Think Multiplication!

Since they are opposites, we can ask: "What number times 6 equals 42?"

? x 6 = 42

2. Find the Answer

We know from our multiplication facts that 7 x 6 = 42.

So, the answer is 7.

Exit Ticket

On a piece of paper, solve the following problems:

8 x 7 = ?

54 ÷ 9 = ?

Extra Practice: Multiplication & Division Tricks

The Big Ideas

Multiplication is a shortcut for repeated .

Division means splitting a number into groups.

The "Flip Trick" (Commutative Property)

You can flip the factors in a multiplication problem and the answer stays the same.

3 x 8 = is the same as 8 x 3 =

Multiplication Table

Tips & Tricks

Guided Practice

Problem: 42 ÷ 6 = ?

Think using multiplication: What number times 6 equals 42?

x 6 = 42

So, the answer is .

Exit Ticket

Solve the following problems:

8 x 7 =

54 ÷ 9 =