Question

which expression is equivalent to 1,000,000? a 10³ b 10⁴ c 10⁵ d 10⁶

Explanation:

Step1: Recall exponentiation of 10

$10^n$ means 1 followed by $n$ zeros.

Step2: Analyze each option

• Option A: $10^3 = 10\times10\times10 = 1000$ (1 followed by 3 zeros).
• Option B: $10^4 = 10\times10\times10\times10 = 10000$ (1 followed by 4 zeros).
• Option C: $10^5 = 10\times10\times10\times10\times10 = 100000$ (1 followed by 5 zeros).
• Option D: $10^6 = 10\times10\times10\times10\times10\times10 = 1000000$ (1 followed by 6 zeros).

Answer:

D. $10^6$