Use inductive reasoning to predict the next equation.
-9 × 9 = 81
99 × 99 = 9801
999 × 999 = 998,001
A)9999 × 9999 = 999,001
B)999 × 9999 = 99,980,001
C)9999 × 9999 = 1,000,001
D)9999 × 9999 = 99,980,001

Question

Use inductive reasoning to predict the next equation.
-9 × 9 = 81 
99 × 99 = 9801
999 × 999 = 998,001
A)9999 × 9999 = 999,001
B)999 × 9999 = 99,980,001
C)9999 × 9999 = 1,000,001
D)9999 × 9999 = 99,980,001

Quizplus · Accepted Answer

The pattern shows that multiplying a number consisting of n 9's by itself results in a number starting with n-1 9's, followed by an 8, and then zeros until the last two digits, which are 01. Thus, 9999 × 9999 should give a result starting with 9998 (four 9's minus one 9, followed by an 8) and ending in 0001, making the correct answer 99,980,001.

Use Inductive Reasoning to Predict the Next Equation