Multiply 1-digit by 2-digit Numbers

Master the skill of multiplying single-digit numbers by larger numbers!

Understanding the Concept

Multiplication is like repeated addition!
When we multiply a 1-digit number by a 2-digit number, we're adding the 2-digit number multiple times. For example, 4 × 23 is the same as 23 + 23 + 23 + 23. But there's a faster way using the distributive property!

How to Multiply Step-by-Step

1️⃣ Break it down: Split the 2-digit number into tens and ones (e.g., 23 = 20 + 3)

2️⃣ Multiply separately: Multiply the 1-digit number by both parts (e.g., 4 × 20 and 4 × 3)

3️⃣ Add the results: Combine your two answers to get the final product (80 + 12 = 92)

Let's Practice Together!

Example 1: 5 × 14

Let's break it down:

5 × 14 = 5 × (10 + 4) = (5 × 10) + (5 × 4) = + =

Visualizing with arrays:

5
×
10
=
50
5
×
4
=
20
50
+
20
=
70

Example 2: 7 × 36

Now you try! Fill in the blanks:

7 × 36 = 7 × (30 + 6) = (7 × ) + (7 × ) = + =

7 × 36 7 × 30 7 × 6 = ?

Parent Tips 🌟

  • Use real-world examples: Ask your child to calculate totals when buying multiple items (e.g., 6 boxes of crayons at $12 each).
  • Make it visual: Draw arrays or use blocks to show how multiplication breaks down into smaller, manageable parts.
  • Practice with games: Play multiplication card games where they multiply a single-digit card by a two-digit card.

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