Questions: What place value should you use to determine the value of the denominator when rewriting 2.05 as a mixed number?
thousandths
tenths
hundredths
ten-thousandths
Transcript text: What place value should you use to determine the value of the denominator when rewriting 2.05 as a mixed number?
thousandths
tenths
hundredths
ten-thousandths
Solution
Solution Steps
Step 1: Understand the Problem
We need to determine the place value of the decimal number 2.05 to rewrite it as a mixed number. The options given are thousandths, tenths, hundredths, and ten-thousandths.
Step 2: Identify the Place Value
The decimal number 2.05 has the digit '5' in the hundredths place. This is because the first digit after the decimal point is the tenths place, and the second digit is the hundredths place.
Step 3: Determine the Denominator
When converting a decimal to a fraction, the place value of the last digit determines the denominator. Since '5' is in the hundredths place, the denominator should be 100.
Final Answer
The place value to use is hundredths. Therefore, the answer is \(\boxed{\text{hundredths}}\).