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Multiplying in Scientific Notation — Easy Worksheet 2
Grade 8 · MathSheets Name: ____________________ Date: __________
Multiply. Write each answer in scientific notation.
How to solve
Multiply the number parts and add the exponents: (2 × 103) × (4 × 105) = 8 × 108. If the number part reaches 10 or more, move the decimal point one place left and add 1 to the exponent: (5 × 103) × (6 × 104) = 30 × 107 = 3 × 108.
Example
(3 × 103) × (3 × 106) = ___
Answer: 9 × 109
Not quite. The answer is
💡 Multiply the number parts: 3 × 7 = 21. Add the exponents: 4 + 2 = 6. That gives 21 × 106. 21 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 2.1 × 107.
✓ Correct!
Not quite. The answer is
💡 Multiply the number parts: 3 × 7 = 21. Add the exponents: 4 + 2 = 6. That gives 21 × 106. 21 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 2.1 × 107.
💡 How to solve: Multiplying in Scientific Notation
Multiply the number parts and add the exponents: (2 × 103) × (4 × 105) = 8 × 108. If the number part reaches 10 or more, move the decimal point one place left and add 1 to the exponent: (5 × 103) × (6 × 104) = 30 × 107 = 3 × 108.
Try a similar one
(3 × 102) × (7 × 107) = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply the number parts: 5 × 7 = 35. Add the exponents: 5 + 3 = 8. That gives 35 × 108. 35 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 3.5 × 109.
✓ Correct!
Not quite. The answer is
💡 Multiply the number parts: 5 × 7 = 35. Add the exponents: 5 + 3 = 8. That gives 35 × 108. 35 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 3.5 × 109.
💡 How to solve: Multiplying in Scientific Notation
Multiply the number parts and add the exponents: (2 × 103) × (4 × 105) = 8 × 108. If the number part reaches 10 or more, move the decimal point one place left and add 1 to the exponent: (5 × 103) × (6 × 104) = 30 × 107 = 3 × 108.
Try a similar one
(4 × 103) × (5 × 104) = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply the number parts: 5 × 4 = 20. Add the exponents: 6 + 4 = 10. That gives 20 × 1010. 20 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 2 × 1011.
✓ Correct!
Not quite. The answer is
💡 Multiply the number parts: 5 × 4 = 20. Add the exponents: 6 + 4 = 10. That gives 20 × 1010. 20 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 2 × 1011.
💡 How to solve: Multiplying in Scientific Notation
Multiply the number parts and add the exponents: (2 × 103) × (4 × 105) = 8 × 108. If the number part reaches 10 or more, move the decimal point one place left and add 1 to the exponent: (5 × 103) × (6 × 104) = 30 × 107 = 3 × 108.
Try a similar one
(8 × 105) × (6 × 105) = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply the number parts: 5 × 9 = 45. Add the exponents: 3 + 2 = 5. That gives 45 × 105. 45 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 4.5 × 106.
✓ Correct!
Not quite. The answer is
💡 Multiply the number parts: 5 × 9 = 45. Add the exponents: 3 + 2 = 5. That gives 45 × 105. 45 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 4.5 × 106.
💡 How to solve: Multiplying in Scientific Notation
Multiply the number parts and add the exponents: (2 × 103) × (4 × 105) = 8 × 108. If the number part reaches 10 or more, move the decimal point one place left and add 1 to the exponent: (5 × 103) × (6 × 104) = 30 × 107 = 3 × 108.
Try a similar one
(5 × 106) × (4 × 106) = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply the number parts: 7 × 9 = 63. Add the exponents: 4 + 6 = 10. That gives 63 × 1010. 63 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 6.3 × 1011.
✓ Correct!
Not quite. The answer is
💡 Multiply the number parts: 7 × 9 = 63. Add the exponents: 4 + 6 = 10. That gives 63 × 1010. 63 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 6.3 × 1011.
💡 How to solve: Multiplying in Scientific Notation
Multiply the number parts and add the exponents: (2 × 103) × (4 × 105) = 8 × 108. If the number part reaches 10 or more, move the decimal point one place left and add 1 to the exponent: (5 × 103) × (6 × 104) = 30 × 107 = 3 × 108.
Try a similar one
(4 × 103) × (8 × 107) = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply the number parts: 3 × 6 = 18. Add the exponents: 6 + 5 = 11. That gives 18 × 1011. 18 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 1.8 × 1012.
✓ Correct!
Not quite. The answer is
💡 Multiply the number parts: 3 × 6 = 18. Add the exponents: 6 + 5 = 11. That gives 18 × 1011. 18 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 1.8 × 1012.
💡 How to solve: Multiplying in Scientific Notation
Multiply the number parts and add the exponents: (2 × 103) × (4 × 105) = 8 × 108. If the number part reaches 10 or more, move the decimal point one place left and add 1 to the exponent: (5 × 103) × (6 × 104) = 30 × 107 = 3 × 108.
Try a similar one
(9 × 106) × (2 × 104) = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply the number parts: 4 × 7 = 28. Add the exponents: 2 + 4 = 6. That gives 28 × 106. 28 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 2.8 × 107.
✓ Correct!
Not quite. The answer is
💡 Multiply the number parts: 4 × 7 = 28. Add the exponents: 2 + 4 = 6. That gives 28 × 106. 28 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 2.8 × 107.
💡 How to solve: Multiplying in Scientific Notation
Multiply the number parts and add the exponents: (2 × 103) × (4 × 105) = 8 × 108. If the number part reaches 10 or more, move the decimal point one place left and add 1 to the exponent: (5 × 103) × (6 × 104) = 30 × 107 = 3 × 108.
Try a similar one
(9 × 102) × (4 × 106) = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Multiply the number parts: 9 × 5 = 45. Add the exponents: 4 + 2 = 6. That gives 45 × 106. 45 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 4.5 × 107.
✓ Correct!
Not quite. The answer is
💡 Multiply the number parts: 9 × 5 = 45. Add the exponents: 4 + 2 = 6. That gives 45 × 106. 45 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 4.5 × 107.
💡 How to solve: Multiplying in Scientific Notation
Multiply the number parts and add the exponents: (2 × 103) × (4 × 105) = 8 × 108. If the number part reaches 10 or more, move the decimal point one place left and add 1 to the exponent: (5 × 103) × (6 × 104) = 30 × 107 = 3 × 108.
Try a similar one
(3 × 104) × (5 × 106) = ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Multiplying in Scientific Notation — Easy Worksheet 2
Multiply. Write each answer in scientific notation.