1. These Lesson Plans explain patterns when whole numbers and decimals are multiplied and divided by powers of ten. (For example: 10, 100, and 1,000).
2. When a number is multiplied by a power of ten, the digits move the same number of places to the left as the number of zeros in the power of ten. The digits then increase in value.
3. When a number is divided by a power of ten, the digits move the same number of places to the right as the number of zeros in the power of ten. The digits then decrease in value.
4. Students will find these patterns using place value charts. They will also practice creating and solving equations using the distributive property. For example:
6.75 x 10 = (6 x 10) + (0.7 x 10) + (0.05 x 10)
This equation can be solved as:
60 + 7 + 0.5 = 67.5
5. Students will also solve word problems involving the multiplication of and division by powers of ten.
6. These Lesson Plans include templates that allow teachers to modify and create additional practice problems for students.