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Operations with Scientific Notation (Mixed Review) — Easy Worksheet 1
Grade 8 · MathSheets Name: ____________________ Date: __________
Compute. Write each answer in scientific notation, like 3.2 × 10^5.
How to solve
To multiply, multiply the decimal parts and add the exponents; to divide, divide the decimal parts and subtract the exponents. To add or subtract, first rewrite so both powers of 10 match. Finally adjust so the decimal part is at least 1 and less than 10: 12.8 × 105 = 1.28 × 106.
Example
(4 × 102) × (5 × 104)
Answer: 2 × 107
Not quite. The answer is
💡 Multiply the number parts: 9 × 5 = 45. Add the exponents: 5 + 5 = 10. That gives 45 × 1010. 45 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 4.5 × 1011.
✓ Correct!
Not quite. The answer is
💡 Multiply the number parts: 9 × 5 = 45. Add the exponents: 5 + 5 = 10. That gives 45 × 1010. 45 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 4.5 × 1011.
💡 How to solve: Operations with Scientific Notation (Mixed Review)
To multiply, multiply the decimal parts and add the exponents; to divide, divide the decimal parts and subtract the exponents. To add or subtract, first rewrite so both powers of 10 match. Finally adjust so the decimal part is at least 1 and less than 10: 12.8 × 105 = 1.28 × 106.
Try a similar one
(5 × 104) × (3 × 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
💡 Divide the number parts: 4.8 ÷ 8 = 0.6. Subtract the exponents: 10 − 6 = 4. That gives 0.6 × 104. 0.6 is less than 1, so move the decimal point 1 place right and subtract 1 from the exponent: 6 × 103.
✓ Correct!
Not quite. The answer is
💡 Divide the number parts: 4.8 ÷ 8 = 0.6. Subtract the exponents: 10 − 6 = 4. That gives 0.6 × 104. 0.6 is less than 1, so move the decimal point 1 place right and subtract 1 from the exponent: 6 × 103.
💡 How to solve: Operations with Scientific Notation (Mixed Review)
To multiply, multiply the decimal parts and add the exponents; to divide, divide the decimal parts and subtract the exponents. To add or subtract, first rewrite so both powers of 10 match. Finally adjust so the decimal part is at least 1 and less than 10: 12.8 × 105 = 1.28 × 106.
Try a similar one
(7 × 102) × (4 × 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: 6 × 7 = 42. Add the exponents: 5 + 4 = 9. That gives 42 × 109. 42 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 4.2 × 1010.
✓ Correct!
Not quite. The answer is
💡 Multiply the number parts: 6 × 7 = 42. Add the exponents: 5 + 4 = 9. That gives 42 × 109. 42 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 4.2 × 1010.
💡 How to solve: Operations with Scientific Notation (Mixed Review)
To multiply, multiply the decimal parts and add the exponents; to divide, divide the decimal parts and subtract the exponents. To add or subtract, first rewrite so both powers of 10 match. Finally adjust so the decimal part is at least 1 and less than 10: 12.8 × 105 = 1.28 × 106.
Try a similar one
(6 × 103) × (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
💡 Divide the number parts: 2.4 ÷ 4 = 0.6. Subtract the exponents: 6 − 3 = 3. That gives 0.6 × 103. 0.6 is less than 1, so move the decimal point 1 place right and subtract 1 from the exponent: 6 × 102.
✓ Correct!
Not quite. The answer is
💡 Divide the number parts: 2.4 ÷ 4 = 0.6. Subtract the exponents: 6 − 3 = 3. That gives 0.6 × 103. 0.6 is less than 1, so move the decimal point 1 place right and subtract 1 from the exponent: 6 × 102.
💡 How to solve: Operations with Scientific Notation (Mixed Review)
To multiply, multiply the decimal parts and add the exponents; to divide, divide the decimal parts and subtract the exponents. To add or subtract, first rewrite so both powers of 10 match. Finally adjust so the decimal part is at least 1 and less than 10: 12.8 × 105 = 1.28 × 106.
Try a similar one
(3 × 102) × (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: 8 × 5 = 40. Add the exponents: 3 + 3 = 6. That gives 40 × 106. 40 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 4 × 107.
✓ Correct!
Not quite. The answer is
💡 Multiply the number parts: 8 × 5 = 40. Add the exponents: 3 + 3 = 6. That gives 40 × 106. 40 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 4 × 107.
💡 How to solve: Operations with Scientific Notation (Mixed Review)
To multiply, multiply the decimal parts and add the exponents; to divide, divide the decimal parts and subtract the exponents. To add or subtract, first rewrite so both powers of 10 match. Finally adjust so the decimal part is at least 1 and less than 10: 12.8 × 105 = 1.28 × 106.
Try a similar one
(7 × 104) × (6 × 102)
✓ 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
💡 Divide the number parts: 1.5 ÷ 3 = 0.5. Subtract the exponents: 13 − 6 = 7. That gives 0.5 × 107. 0.5 is less than 1, so move the decimal point 1 place right and subtract 1 from the exponent: 5 × 106.
✓ Correct!
Not quite. The answer is
💡 Divide the number parts: 1.5 ÷ 3 = 0.5. Subtract the exponents: 13 − 6 = 7. That gives 0.5 × 107. 0.5 is less than 1, so move the decimal point 1 place right and subtract 1 from the exponent: 5 × 106.
💡 How to solve: Operations with Scientific Notation (Mixed Review)
To multiply, multiply the decimal parts and add the exponents; to divide, divide the decimal parts and subtract the exponents. To add or subtract, first rewrite so both powers of 10 match. Finally adjust so the decimal part is at least 1 and less than 10: 12.8 × 105 = 1.28 × 106.
Try a similar one
(2 × 105) × (3 × 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 × 3 = 12. Add the exponents: 2 + 5 = 7. That gives 12 × 107. 12 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 1.2 × 108.
✓ Correct!
Not quite. The answer is
💡 Multiply the number parts: 4 × 3 = 12. Add the exponents: 2 + 5 = 7. That gives 12 × 107. 12 is 10 or more, so move the decimal point 1 place left and add 1 to the exponent: 1.2 × 108.
💡 How to solve: Operations with Scientific Notation (Mixed Review)
To multiply, multiply the decimal parts and add the exponents; to divide, divide the decimal parts and subtract the exponents. To add or subtract, first rewrite so both powers of 10 match. Finally adjust so the decimal part is at least 1 and less than 10: 12.8 × 105 = 1.28 × 106.
Try a similar one
(4 × 102) × (8 × 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
💡 Divide the number parts: 4.8 ÷ 6 = 0.8. Subtract the exponents: 6 − 2 = 4. That gives 0.8 × 104. 0.8 is less than 1, so move the decimal point 1 place right and subtract 1 from the exponent: 8 × 103.
✓ Correct!
Not quite. The answer is
💡 Divide the number parts: 4.8 ÷ 6 = 0.8. Subtract the exponents: 6 − 2 = 4. That gives 0.8 × 104. 0.8 is less than 1, so move the decimal point 1 place right and subtract 1 from the exponent: 8 × 103.
💡 How to solve: Operations with Scientific Notation (Mixed Review)
To multiply, multiply the decimal parts and add the exponents; to divide, divide the decimal parts and subtract the exponents. To add or subtract, first rewrite so both powers of 10 match. Finally adjust so the decimal part is at least 1 and less than 10: 12.8 × 105 = 1.28 × 106.
Try a similar one
(4 × 102) × (5 × 102)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Operations with Scientific Notation (Mixed Review) — Easy Worksheet 1
Compute. Write each answer in scientific notation, like 3.2 × 10^5.