Multiplication Facts to 10

Free sample questions, a clear explanation, and 5 practice skills with an AI tutor that guides without giving the answer away.

Concept Review

Multiplication by 0, 1, and 2: The Building Blocks

Imagine you're organizing cookies for a party. You have several plates, and you need to figure out how many cookies you have in total. Some plates might be empty, some might have exactly one cookie each, and others might have pairs. This is exactly what multiplication by 0, 1, and 2 helps us solve!

Multiplying by 0: The Empty Plate Rule

When you multiply any number by 0, you always get 0. Think of it like this: if you have 5 empty plates with 0 cookies on each plate, how many cookies do you have? 5 × 0 = 0 cookies total.

It works the other way too: 0 × 7 = 0. Zero plates with 7 cookies each still gives you zero cookies!

Multiplying by 1: The Copy Machine

Multiplying by 1 is like having a copy machine that makes exactly one copy. Whatever number you start with stays exactly the same. 6 × 1 = 6 and 1 × 9 = 9.

If you have 4 plates with 1 cookie on each plate, you have exactly 4 cookies: 4 × 1 = 4.

Multiplying by 2: The Doubling Machine

Multiplying by 2 means doubling whatever you have. It's like adding a number to itself. 3 × 2 = 6 because 3 + 3 = 6. If you have 3 plates with 2 cookies on each plate, that's 2 + 2 + 2 = 6 cookies total.

💡 Surprising Insight

Here's something amazing: any number times 0 equals 0, even huge numbers! 1,000,000 × 0 = 0. Zero is so powerful that it can make any number disappear in multiplication. But 1 is the opposite — it's like an invisible multiplier that leaves numbers unchanged.

Practice with Real Examples

Let's say you're counting shoes in your closet:

•4 people with 0 shoes each: 4 × 0 = 0 shoes
•7 people with 1 shoe each: 7 × 1 = 7 shoes
•5 people with 2 shoes each: 5 × 2 = 10 shoes

🔑 Key Takeaway

Just like organizing cookies on plates, multiplication helps us count groups quickly. Whether you're dealing with empty groups (×0), single items (×1), or pairs (×2), these basic facts are the foundation for all multiplication. Master these three, and you're ready to tackle bigger multiplication challenges!

Sample questions

1. What is the product of 9,452 multiplied by 0?

○ 9,452

○ 1

✓ 0

○ 9,000

Answer: 0 — The Zero Property: Any number multiplied by zero is always zero.

2. If a motor spins at 1,500 RPM and you multiply its speed by 1, what is the result?

✓ 1,500

○ 1

○ 0

○ 3,000

Answer: 1,500 — The Identity Property: Any number multiplied by one stays exactly the same.

3. Multiplying a number by 2 is the same as:

○ Squaring the number

✓ Doubling the number

○ Adding 2 to the number

○ Dividing it in half

Answer: Doubling the number — 2 groups of any number is just that number added to itself once.

Skills in this topic

Multiply by 0, 1, and 2
Multiply by 3 and 4
Multiply by 5 and 6
Multiply by 7 and 8
Multiply by 9 and 10

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