Question

round 0.086 to the nearest hundredth.

Explanation:

Step1: Identify the hundredths place

The hundredths digit in 0.086 is 8, located at the second decimal place: $0.0\boldsymbol{8}6$

Step2: Check the next digit

The digit to the right of the hundredths place is 6: $0.08\boldsymbol{6}$

Step3: Round up if digit ≥5

Since 6 ≥ 5, add 1 to the hundredths digit: $8 + 1 = 9$

Step4: Final rounded number

Drop the digit after the hundredths place, resulting in $0.09$

Answer:

0.09