4.5 multiplying and dividng by powers of 10
- 1. 4.5 Multiplying And Dividing by Powers of Ten October 21, 2010
- 2. What happens when you multiply by powers of ten? Fill in the blanks below (in your notebook). Whole Number Powers of Ten Decimal Powers of Ten 10 x 8.3 = _____ 0.1 x 8.3 = _____ 100 x 8.3 = _____ 0.01 x 8.3 = _____ 1000 x 8.3 = _____ 0.001 x 8.3 = _____ 10,000 x 8.3 = _____ 0.0001 x 8.3 = _____
- 3. What happens when you multiply by powers of ten? Check your answers (in your notebook). Whole Number Powers of Ten Decimal Powers of Ten 10 x 8.3 = 83 0.1 x 8.3 = 0.83 100 x 8.3 = 830 0.01 x 8.3 = 0.083 1000 x 8.3 = 8,300 0.001 x 8.3 = 0.0083 10000 x 8.3 = 83,000 .0001 x 8.3 = .00083
- 4. Multiplying by Powers of Ten
- 5. Multiplying by Powers of Ten ***Copy this in your notebook:
- 6. Multiplying by Powers of Ten ***Copy this in your notebook: Multiplying by whole number powers of 10: Move the decimal point one place to the right for each zero in the whole number power 10.
- 7. Multiplying by Powers of Ten ***Copy this in your notebook: Multiplying by whole number powers of 10: Move the decimal point one place to the right for each zero in the whole number power 10. Numbers 3.995 x 100 = 3.99.5
- 8. Multiplying by Powers of Ten
- 9. Multiplying by Powers of Ten ***Copy this in your notebook:
- 10. Multiplying by Powers of Ten ***Copy this in your notebook: Multiplying by decimal number powers of 10: Move the decimal point one place to the left for each zero in the whole number power 10.
- 11. Multiplying by Powers of Ten ***Copy this in your notebook: Multiplying by decimal number powers of 10: Move the decimal point one place to the left for each zero in the whole number power 10. Numbers 399.5 x 0.001 = 399.5
- 12. Try these on your own (in your notebook) Multiply decimals using mental maths: 0.05 x 1000 = 95.38 x 0.0001
- 13. Check your answer (in your notebook)
- 14. Check your answer (in your notebook) Multiply decimals using mental maths:
- 15. Check your answer (in your notebook) Multiply decimals using mental maths: 0.05 x 1000 = 50
- 16. Check your answer (in your notebook) Multiply decimals using mental maths: 0.05 x 1000 = 50 Move the decimal 3 places to the right.
- 17. Check your answer (in your notebook) Multiply decimals using mental maths: 0.05 x 1000 = 50 Move the decimal 3 places to the right. 95.38 x 0.0001 = 0.0009538
- 18. Check your answer (in your notebook) Multiply decimals using mental maths: 0.05 x 1000 = 50 Move the decimal 3 places to the right. 95.38 x 0.0001 = 0.0009538 Move the decimal 4 places to the left.
- 19. Dividing by Powers of Ten
- 20. Dividing by Powers of Ten *** Copy this in your notebook.
- 21. Dividing by Powers of Ten *** Copy this in your notebook. Dividing by Whole Number Powers of 10: Move the decimal point one place to the left for each zero in the whole number power of 10.
- 22. Dividing by Powers of Ten *** Copy this in your notebook. Dividing by Whole Number Powers of 10: Move the decimal point one place to the left for each zero in the whole number power of 10. 35 ÷ 100 = 0.35. = 0.35
- 23. Dividing by Powers of Ten
- 24. Dividing by Powers of Ten *** Copy this in your notebook.
- 25. Dividing by Powers of Ten *** Copy this in your notebook. Dividing by Decimal Number Powers of 10: Move the decimal point one place to the right for each zero in the whole number power of 10.
- 26. Dividing by Powers of Ten *** Copy this in your notebook. Dividing by Decimal Number Powers of 10: Move the decimal point one place to the right for each zero in the whole number power of 10. 35 ÷ 0.001 = 35.00 = 3,500
- 27. Divide Decimals Using Mental Math (Now you try: in your notebook) • 508.3 ÷ 10 • 508.3 ÷ 0.01
- 28. Divide Decimals Using Mental Math (Now you try: in your notebook) • 508.3 ÷ 10 = 50.83 Move 1 place to the left. • 508.3 ÷ 0.01 = 50,830 Move 2 places to the right.
- 29. Try these (show these problems tomorrow with your homework) • 6.07 X 1000 • 153.6 X 0.01 • 42.6 ÷ 100 • 509 ÷ 1000 • 5 ÷ 0.1 • 3.2 ÷ 0.001
- 30. When you finish: • You may begin your homework.