Question

which equation is true?
a \\(9 \div 10^2 = 0.9\\)
b \\(9 \div 10^2 = 0.09\\)
c \\(9 \div 10^3 = 9,000\\)
d \\(9 \div 10^3 = 0.09\\)

Explanation:

Step1: Analyze Option A

Calculate \(9\div10^{2}\). Since \(10^{2} = 100\), then \(9\div100=0.09
eq0.9\). So A is false.

Step2: Analyze Option B

Calculate \(9\div10^{2}\). As \(10^{2}=100\), \(9\div100 = 0.09\). So B is true.

Step3: Analyze Option C

Calculate \(9\div10^{3}\). Since \(10^{3}=1000\), \(9\div1000 = 0.009
eq9000\). So C is false.

Step4: Analyze Option D

Calculate \(9\div10^{3}\). As \(10^{3}=1000\), \(9\div1000=0.009
eq0.09\). So D is false.

Answer:

B. \(9\div10^{2}=0.09\)