If the price of a bottle of shampoo is $7.65, how much is this when rounded to the nearest ten cents? Include the dollar sign, two decimal places and no spaces in your answer.
The Correct Answer and Explanation is:
To round the price of $7.65 to the nearest ten cents, we focus on the digit in the hundredths place (the second digit after the decimal point).
Here’s the step-by-step process:
- Identify the digit in the hundredths place: In $7.65, the digit in the hundredths place is 5.
- Apply rounding rules:
- If the digit in the hundredths place is 5 or greater, we round the tenths place (the first digit after the decimal) up by one.
- If it’s less than 5, we leave the tenths place unchanged.
- Round the price: Since the hundredths place is 5, we round the tenths place (6) up by one, turning it into 7.
Thus, $7.65 becomes $7.70 when rounded to the nearest ten cents.
Final Answer: $7.70
Explanation:
Rounding is a process used to simplify numbers while keeping them close to the original value. In this case, rounding to the nearest ten cents helps in situations like pricing items, where small adjustments may make prices more convenient or consistent. The rule of rounding up when the digit is 5 or higher ensures that we don’t significantly undervalue or overvalue the price.
When the hundredths place is less than 5, rounding down makes the number smaller, which is not the case here since we had a 5. Thus, rounding up gives a fair and conventional outcome of $7.70.
