Practice Hub/Grade 4/arithmetic/Multiplication of Multi-Digit Numbers (1-digit by up to 4-digit)

Free Grade 4 Multiplication of Multi-Digit Numbers (1-digit by up to 4-digit) Practice

Multiply a whole number of up to four digits by a one-digit whole number, using strategies based on place value and the properties of operations.

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Topic Overview

Definitive Answer: Multiply a whole number of up to four digits by a one-digit whole number, using strategies based on place value and the properties of operations.

Hey math explorers! Today, we're learning to multiply a **one-digit number** by a **two-digit number**. Think of multiplication as a quick way to do **repeated addition**. When you multiply, you're finding the total number of items in several **equal groups**. We'll start with the **ones place** and then move to the **tens place**. For now, we'll focus on problems where you don't need to 'carry over' any numbers – this is called **without regrouping**. It's like counting groups of things, but super fast!

Step-by-Step Examples

Example 1: What is 12 multiplied by 4?
  1. **Step 1: Multiply the ones.** Look at the ones place in 12, which is 2. Multiply 2 by 4: 2 x 4 = 8. Write 8 in the ones place of your answer.
  2. **Step 2: Multiply the tens.** Now look at the tens place in 12, which is 1. Multiply 1 by 4: 1 x 4 = 4. Write 4 in the tens place of your answer.
✓ Answer: 48
Example 2: A classroom has 21 students. If each student needs 3 pencils, how many pencils are needed in total?
  1. **Step 1: Multiply the ones.** We need to find 21 x 3. Start with the ones digit of 21, which is 1. Multiply 1 by 3: 1 x 3 = 3. Write 3 in the ones place of your answer.
  2. **Step 2: Multiply the tens.** Next, take the tens digit of 21, which is 2. Multiply 2 by 3: 2 x 3 = 6. Write 6 in the tens place of your answer.
✓ Answer: 63 pencils
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Tips & Tricks

  • Always start multiplying from the **ones place** first, then move to the **tens place**!

Key Vocabulary

TermDefinition
MultiplyTo combine equal groups to find a total; a quick way to do repeated addition.
ProductThe answer to a multiplication problem.
Place ValueThe value of a digit based on its position in a number (like ones, tens, hundreds).

Interactive Practice

Question 1 of 10

A baker makes 24 cookies each day. How many cookies does the baker make in 3 days?

Frequently Asked Questions

How can I help my child understand how to multiply a 1-digit number by a multi-digit number?

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To master `how to multiplication of multi-digit numbers (1-digit by up to 4-digit)`, focus on place value strategies and the distributive property. Breaking down larger numbers into their place values makes the process more manageable for young learners.

Where can I find effective practice for 4th grade multi-digit multiplication?

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For robust `4th grade multiplication of multi-digit numbers (1-digit by up to 4-digit) practice`, look for interactive online games, educational apps, or structured problem sets. Consistent practice with various problem types is key to building fluency and confidence.

Are there any free worksheets available for Grade 4 multiplication of multi-digit numbers?

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Yes, you can find many excellent `free multiplication of multi-digit numbers (1-digit by up to 4-digit) worksheet grade 4` resources online. These worksheets often provide step-by-step examples and diverse problems to reinforce learning at home.

What specific skills are covered in grade 4 multiplication of multi-digit numbers?

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In `grade 4 multiplication of multi-digit numbers (1-digit by up to 4-digit)`, students learn to multiply a 1-digit number by numbers up to four digits using place value and regrouping. This includes solving word problems to apply these essential arithmetic skills in real-world contexts.

Skills Covered

  • Multiply a one-digit number by a two-digit number without regrouping.
  • Multiply a one-digit number by a three-digit number using strategies based on place value and regrouping.
  • Solve word problems involving the multiplication of a one-digit number by a four-digit number.

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Kurboed Education Team

The Kurboed Education Team consists of experienced educators, curriculum designers, and AI specialists dedicated to creating high-quality, standards-aligned learning materials. Our mission is to make interactive and adaptive math practice accessible to every student.

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Expertly curated by the Kurboed Education Team • Last updated 2026

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