Advanced MathHardSimplifying a numeric quotient by factoring
Advanced Math practice question
What is the value of (10⁶ − 10⁴)/(10² − 1)?
Answer: 10000
Factor the numerator: 10⁴(10² − 1). Dividing by (10² − 1) leaves 10⁴ = 10,000.
Common wrong answers
- If you answered 100
- 100 comes from 10⁶ ÷ 10⁴, ignoring the subtractions.
- If you answered 1000
- 1,000 is 10³, an exponent slip.
- If you answered 990000
- 990,000 is the numerator alone.
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