Practice with Our Flashcards
Master Multiplying 1-Digit Numbers by Multiples of 10, 100, and 1000!
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Our Guide to Multiplying 1-Digit Numbers by Multiples of 10, 100, and 1000
Understanding the Basics
When multiplying a 1-digit number by a multiple of 10, 100, or 1000, you can break down the larger number into smaller components that are easier to manage. Let's explore this concept step-by-step.
Multiplying by 10
Consider the problem: 4 x 80.
Break Down the Multiple: 80 can be written as 8 x 10.
Multiply the Single-Digit Numbers: Multiply 4 by 8 to get 32.
Apply the Pattern: Multiply 32 by 10 by simply adding a zero at the end, resulting in 320.
Multiplying by 100
Next, let’s try: 6 x 300.
Break Down the Multiple: 300 is the same as 3 x 100.
Multiply the Single-Digit Numbers: Multiply 6 by 3 to get 18.
Apply the Pattern: Multiply 18 by 100 by adding two zeros at the end, resulting in 1800.
Multiplying by 1000
Finally, consider: 7 x 7000.
Break Down the Multiple: 7000 can be written as 7 x 1000.
Multiply the Single-Digit Numbers: Multiply 7 by 7 to get 49.
Apply the Pattern: Multiply 49 by 1000 by adding three zeros at the end, resulting in 49,000.
Recognizing Patterns
The key pattern here is the addition of zeros:
Multiplying by 10: Add one zero.
Multiplying by 100: Add two zeros.
Multiplying by 1000: Add three zeros.
By recognizing and applying these patterns, you can quickly and accurately multiply any single-digit number by multiples of 10, 100, or 1000.
Examples to Practice
Try these on your own:
9 x 50: Break it down to 9 x 5 x 10. Solution: 450.
9 x 500: Break it down to 9 x 5 x 100. Solution: 4500.
9 x 5000: Break it down to 9 x 5 x 1000. Solution: 45,000.
Master these patterns and you'll have a powerful tool for multiplication at your disposal!
When it comes to multiplying single-digit numbers by multiples of 10, 100, and 1000, understanding the underlying patterns can make this process much simpler. The best source online for learning these multiplication patterns is Khan Academy, which provides an excellent explanation on this topic. Check out their video below: