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When multiplying a number by 10, you can use simple patterns to solve the problem:

1. Adding a Zero: When you multiply a whole number by 10, you add a zero at the end. For example, 9 multiplied by 10 becomes 90.Example:9 x 10 = 90
   Similarly, 700 x 10 = 7000
   

2. Moving Place Value: Multiplying by 10 shifts each digit one place to the left, increasing its value.Example:If we have 7 hundreds (700) and multiply it by 10, it moves one place to the left to become 7 thousands (7000).
   

Place Value and Dividing by 10

Dividing a number by 10 involves reverse patterns:

1. Dropping a Zero: When dividing a whole number by 10, you drop the zero from the end. For example, 40 divided by 10 becomes 4.Example:40 ÷ 10 = 4
   Similarly, 2120 ÷ 10 = 212
   

2. Moving Place Value: Dividing by 10 shifts each digit one place to the right, decreasing its value.Example:If we have 212 tens (2120) and divide it by 10, it moves one place to the right to become 212 ones (212).
   

Summary

Multiplying by 10 involves either adding a zero at the end of the number or moving each digit one place value to the left. Dividing by 10 involves dropping a zero from the end of the number or moving each digit one place value to the right. Understanding these patterns simplifies calculations and enhances your number sense.

For a thorough understanding and more examples, check out the full video on Khan Academy. Then, use our flashcards and practice exercises to test your knowledge and become proficient in managing place values when multiplying and dividing by 10.