Using a = 5, b = 3, and c = -1, this animation substitutes values into four algebraic statements to test whether associative and distributive properties hold true. Each option is worked out step by step, comparing both sides of the equation numerically. It visually confirms that addition is associative and multiplication distributes over addition, while disproving two false variations. Useful for students learning to verify algebraic identities through direct substitution rather than memorization.
Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
Jika a = 5, b = 3, dan c = −1, manakah pernyataan yang benar? A\. a \+ (b \+ c) = (a \+ b) \+ c B\. a × (b \+ c) = a × b \+ c C\. a × (b \+ c) = a × b \+ a × c D\. a \+ (b × c) = (a \+ b) × c ## Pembahasan Diketahui: - a = 5 - b = 3 - c = −1 **Opsi A** a \+ (b \+ c) = (a \+ b) \+ c Substitusikan nilai a, b, dan c: 5 \+ (3 \+ (−1)) = (5 \+ 3) \+ (−1) 5 \+ 2 = 8 − 1 7 = 7 Pernyataan benar\. **Opsi B** a × (b \+ c) = a × b \+ c Substitusikan nilai a, b, dan c: 5 × (3 \+ (−1)) = 5 × 3 \+ (−1) 5 × 2 = 15 − 1 10 ≠ 14 Pernyataan salah\. **Opsi C** a × (b \+ c) = a × b \+ a × c Substitusikan nilai a, b, dan c: 5 × (3 \+ (−1)) = 5 × 3 \+ 5 × (−1) 5 × 2 = 15 − 5 10 = 10 Pernyataan benar\. **Opsi D** a \+ (b × c) = (a \+ b) × c Substitusikan nilai a, b, dan c: 5 \+ (3 × (−1)) = (5 \+ 3) × (−1) 5 − 3 = 8 × (−1) 2 ≠ −8 Pernyataan salah\. ## Kesimpulan Pernyataan yang benar adalah **opsi A dan C**\.