- Addition (same exponent): $4.02 \times 10^3 + 2.02 \times 10^3 = (4.02 + 2.02) \times 10^3 = 6.04 \times 10^3$
- Addition (different exponents): $4.02 \times 10^3 + 2.02 \times 10^2 = 4.02 \times 10^3 + 0.202 \times 10^3 = (4.02 + 0.202) \times 10^3 = 4.222 \times 10^3$
- Subtraction (same exponent): $4.02 \times 10^3 - 2.02 \times 10^3 = (4.02 - 2.02) \times 10^3 = 2.00 \times 10^3$
- Subtraction (different exponents): $4.02 \times 10^3 - 2.02 \times 10^2 = 4.02 \times 10^3 - 0.202 \times 10^3 = (4.02 - 0.202) \times 10^3 = 3.818 \times 10^3$
- Multiplication (same exponent): $(4.02 \times 10^3) \times (2.02 \times 10^3) = (4.02 \times 2.02) \times 10^{3+3} = 8.1204 \times 10^6$
- Multiplication (different exponents): $(4.02 \times 10^3) \times (2.02 \times 10^2) = (4.02 \times 2.02) \times 10^{3+2} = 8.1204 \times 10^5$
- Division (same exponent): $(4.02 \times 10^3) \div (2.02 \times 10^3) = (4.02 \div 2.02) \times 10^{3-3} = 1.990099... \times 10^0 \approx 1.99$
- Division (different exponents): $(4.02 \times 10^3) \div (2.02 \times 10^2) = (4.02 \div 2.02) \times 10^{3-2} = 1.990099... \times 10^1 \approx 19.9$
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting scientific notation.
