Practice with Our Flashcards

Example 1: Dividing 5,600 by 8

To divide 5,600 by 8, we can break it down using place value, simplifying the problem:

1. Recognize the Place Value: 5,600 can be written as 56 hundreds (56 × 100).
   Thus, 5,600 ÷ 8 becomes (56 × 100) ÷ 8.
   

2. Rearrange for Simplicity: Using the associative property, (56 × 100) ÷ 8 simplifies to 56 ÷ 8 × 100.
   Solving 56 ÷ 8 gives us 7.
   

3. Multiply by 100: Finally, 7 × 100 equals 700.
   Therefore, 5,600 ÷ 8 equals 700.
   

Example 2: Dividing 846 by 2

For 846 divided by 2, breaking it down by place value makes the calculation straightforward:

1. Break Down by Place Value:846 can be expressed as 800 + 40 + 6.
   Therefore, 846 ÷ 2 is equivalent to (800 + 40 + 6) ÷ 2.
   

2. Divide Each Component:Divide each term separately: 800 ÷ 2, 40 ÷ 2, and 6 ÷ 2.
   This gives us 400 + 20 + 3.
   

3. Combine the Results:Adding these results together, 400 + 20 + 3 equals 423.
   Thus, 846 ÷ 2 equals 423.
   

Example 3: Dividing 963 by 9

For the division of 963 by 9, recognizing place value components can simplify the problem:

1. Identify Divisible Components:963 can be broken down into 900 + 63.
   Hence, 963 ÷ 9 is (900 + 63) ÷ 9.
   

2. Divide Each Part Separately: Divide 900 by 9 and 63 by 9.
   This gives us 100 and 7, respectively.
   

3. Add the Quotients:Combining the results, 100 + 7 equals 107.
   Therefore, 963 ÷ 9 equals 107.
   

Conclusion

Using place value to simplify division problems can make complex calculations easier and more intuitive. By breaking numbers into manageable components and leveraging basic arithmetic properties, students can confidently tackle division without relying solely on long division methods.

Practice these techniques with our flashcards and video to become proficient in dividing using place value, and don't forget to check out Khan Academy’s detailed explanations and examples for a deeper understanding.