Question

what is the quotient when the decimal number ten and six tenths is divided by four hundredths?

Explanation:

Step1: Convert words to decimals

Ten and six tenths = $10.6$, four hundredths = $0.04$

Step2: Set up division expression

$10.6 \div 0.04$

Step3: Rewrite to eliminate decimals

Multiply numerator and denominator by 100: $\frac{10.6 \times 100}{0.04 \times 100} = \frac{1060}{4}$

Step4: Calculate the quotient

$\frac{1060}{4} = 265$

Answer:

265