Sample Lessons and Worksheets

In this grade MINDsprinting's math curriculum covers:

• Exponents and powers
• Scientific notation
• Square root
• Cube root
• Absolute values

Plus any other topics your child needs to work on, as determined by our FREE Assessment Test. You can view a complete list of the topics covered in our curriculum by clicking here.

Below is a free sample worksheet from our 10th grade math curriculum. It is only one of many worksheets that are automatically assigned to students in this grade level based on their Assessment Test results and their progress through our curriculum. Each worksheet is designed to take between 10 and 20 minutes to complete. We recommend students do at least 3 worksheets per week, though you can complete as many as you want using the MINDsprinting system.

The lesson below is a HTML reproduction of our worksheet. All lessons are served in PDF format and are designed to be printed out and completed by hand.

Lesson M77-1 - Understanding Exponents and Powers - 1

When two or more numbers are multiplied to give us a product, each of these numbers is called a factor.

(3)(3)(3)(3) can be written as 34. This is read as three to the power of four or three to the fourth power.

- The base is the number that is multiplied (factor).
- The exponent tells us how many times to multiply the base by itself.

Example 1: Write these products in exponential form.

 a. (7) (7) (7) (7) (7) = 75 b. (-4) (-4) (-3) (-3) = (-4)2 x (-3)2

Page 1

Express these products in exponential form.

 1. (2) (2) (2) 2. (3) (3) (1) (1) 3. (-7) (-6) (-7) (-6) 4. (-4) (-2) (-8) (-8) (-9) (-9) (-4) 5. (x) (y) (a) (b) (x) (a)

Express as a power.

 1. 6 x 6 x 6 2. 9 x 9 x 9 x 9 3. 10 x 10 x 10 4. 4 x 4 x 4 x 4 5. 2 x 2 x 2 x 2 x 2 x 2 x 2 6. 5 x 5 x 5 x 5 7. 3 x 3 x 3 x 3 x 3 x 3 8. 12 x 12 x 12 x 3 x 3 x 4 9. 2 x 2 x 2 x 4 x 3 x 7 x 4 x 3 x 7

Page 2

Solve.

 10. 72 11. 34 12. 53 13. 152 14. 24 15. 44 16. 105 17. 93 18. 62 + 72 19. 83 + 122 20. 102 + 100 21. 1700

Identify the base and the exponent.

 22. 32 23. 53 24. a3 25. 47 26. (-2)6 27. -1317 28. nx 29. 1281 30. 16

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