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9. convert $2\\frac{7}{8}$ to a decimal. round to the hundredths place …

Question

  1. convert $2\frac{7}{8}$ to a decimal. round to the hundredths place if necessary. \\(\bigcirc\\) 0.278 \\(\bigcirc\\) 2.88 \\(\bigcirc\\) 2.87 \\(\bigcirc\\) 0.88

Explanation:

Step1: Convert fraction to decimal

To convert the fraction \(\frac{7}{8}\) to a decimal, we perform the division \(7\div8\).
\(7\div8 = 0.875\)

Step2: Add the whole number

The mixed number is \(2\frac{7}{8}\), so we add the whole number part \(2\) to the decimal we just found.
\(2 + 0.875=2.875\)

Step3: Round to hundredths place

To round \(2.875\) to the hundredths place, we look at the thousandths digit, which is \(5\). When the digit is \(5\) or more, we round up the hundredths digit. So \(2.875\) rounded to the hundredths place is \(2.88\).

Answer:

2.88 (corresponding to the option "2.88")