Speech Writing for Specific Audiences
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When adding numbers in standard form with the SAME exponent, add the coefficients and keep the exponent. Step 1: Check exponents are the same. Both terms have \(10^4\). ✓. Step 2: Add coefficients: \(3 + 5 = 8\). Step 3: Keep the common exponent: \(8 \times 10^4\). Step 4: Verify standard form: \(1 \leq 8 < 10\) ✓. Important note: Addition and subtraction in standard form are easier when exponents match. If they don't match, you must first convert one number so both have the same exponent before adding. Example: \((3 \times 10^4) + (5 \times 10^3)\) requires rewriting as \((3 \times 10^4) + (0.5 \times 10^4) = 3.5 \times 10^4\). ECZ exams test this concept to ensure students understand that unlike multiplication/division, addition/subtraction requires matching exponents. This appears in Paper 2 when combining measurements or calculating totals.
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