When dividing numbers in standard form, divide the coefficients and SUBTRACT the exponents. Step 1: Divide the coefficients: \(\frac{6}{2} = 3\). Step 2: Subtract the exponents: \(\frac{10^7}{10^3} = 10^{7-3} = 10^4\). Step 3: Combine: \(3 \times 10^4\). Step 4: Verify standard form. Since \(1 \leq 3 < 10\), the answer is correct. This uses the law: \(\frac{a^m}{a^n} = a^{m-n}\). Common mistake: Students sometimes add exponents instead of subtracting when dividing. Remember: multiply → ADD exponents; divide → SUBTRACT exponents. ECZ marking schemes are strict about this. Division in standard form frequently appears in rate calculations, density problems, and unit conversions in ECZ Paper 2, especially in physics and chemistry contexts.

Break down complex topics into smaller, manageable chunks for easier recall.

Zambia

• Dickson Tembo – 1 pts

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