Convert 9.01: Decimal Representation Problem

Question

9.01= 9.01=

Video Solution

Step-by-Step Solution

Let's convert the decimal 9.019.01 into a mixed number step-by-step:

  • Step 1: Identify the integer part and the decimal part of 9.019.01.
    The integer part is 99 and the decimal part is 0.010.01.
  • Step 2: Convert the decimal part 0.010.01 to a fraction.
    0.010.01 is equivalent to 1100\frac{1}{100} because 0.010.01 means 1 part of 100 (i.e., hundredths).
  • Step 3: Form the mixed number using the integer part and the fractional part.
    Combine the integer part 99 with the fractional part 1100\frac{1}{100}:
    \9+1100=911009 + \frac{1}{100} = 9\frac{1}{100}.

Thus, the decimal 9.019.01 is equivalent to the mixed number 911009\frac{1}{100}.

Referring to the options provided, the correct answer is choice 4: 911009\frac{1}{100}.

Therefore, the solution to the problem is 911009\frac{1}{100}.

Answer

91100 9\frac{1}{100}