Free Online Quiz: Add and Subtract Scientific Notation

📚 Quick Study Guide

• 🔢 Ensure the exponents are the same before adding or subtracting.
• ➕ If the exponents are different, adjust one of the numbers to match the other. For example, to add $3.2 \times 10^3 + 5.1 \times 10^2$, convert the second term to $0.51 \times 10^3$.
• ➖ Add or subtract the coefficients (the numbers in front of the $10^x$).
• ✍️ Keep the exponent the same.
• ✅ The result should be in proper scientific notation (a number between 1 and 10 multiplied by a power of 10).
• ➗ Remember: $(a \times 10^b) + (c \times 10^b) = (a + c) \times 10^b$ and $(a \times 10^b) - (c \times 10^b) = (a - c) \times 10^b$
• 💡 If needed, adjust the decimal point and exponent after adding or subtracting to ensure proper scientific notation.

🧪 Practice Quiz

1. What is $ (4.2 \times 10^4) + (2.5 \times 10^4)$?
   1. $6.7 \times 10^8$
   2. $6.7 \times 10^4$
   3. $6.7 \times 10^{-4}$
   4. $6.7 \times 10^0$


2. What is $ (9.8 \times 10^5) - (3.2 \times 10^5)$?
   1. $6.6 \times 10^{10}$
   2. $6.6 \times 10^5$
   3. $6.6 \times 10^{-5}$
   4. $13 \times 10^5$


3. What is $ (1.5 \times 10^3) + (8.5 \times 10^2)$?
   1. $2.35 \times 10^3$
   2. $1.0 \times 10^6$
   3. $1.00 \times 10^3$
   4. $1.0 \times 10^4$


4. What is $ (7.2 \times 10^{-2}) - (4.2 \times 10^{-2})$?
   1. $3.0 \times 10^{-4}$
   2. $3.0 \times 10^0$
   3. $3.0 \times 10^{-2}$
   4. $1.14 \times 10^{-2}$


5. What is $ (5.0 \times 10^{-3}) + (5.0 \times 10^{-3})$?
   1. $1.0 \times 10^{-6}$
   2. $1.0 \times 10^{-3}$
   3. $1.0 \times 10^0$
   4. $2.5 \times 10^{-3}$


6. What is $ (6.8 \times 10^{6}) - (3.4 \times 10^{6})$?
   1. $3.4 \times 10^{12}$
   2. $3.4 \times 10^6$
   3. $3.4 \times 10^0$
   4. $1.02 \times 10^{6}$


7. What is $ (2.0 \times 10^{-4}) + (8.0 \times 10^{-5})$?
   1. $2.8 \times 10^{-4}$
   2. $1.0 \times 10^{-9}$
   3. $1.0 \times 10^{-4}$
   4. $2.8 \times 10^{-9}$