Express $16 / 3$ as a decimal correct to 4 decimal places.
Answer (2)
The decimal representation of 3 16 rounded to four decimal places is 5.3333 . We arrive at this by dividing 16 by 3 and rounding the result accordingly. Since the fifth decimal place is less than 5, we round down, keeping the fourth place as it is.
;
Divide 16 by 3 to get the decimal representation: 16/3 = 5.333333... .
Round the result to four decimal places. Since the fifth decimal place is less than 5, round down.
The decimal representation of 3 16 correct to 4 decimal places is 5.3333 .
Explanation
Understanding the Problem We are asked to express the fraction 3 16 as a decimal, rounded to four decimal places. This means we need to perform the division and then round the result appropriately.
Performing the Division To convert the fraction 3 16 to a decimal, we perform the division 16 ÷ 3 .
Result of the Division When we divide 16 by 3, we get 5.333333... The digit 3 repeats infinitely.
Rounding to Four Decimal Places Now, we need to round this decimal to four decimal places. The fifth decimal place is 3, which is less than 5, so we round down. This means we keep the fourth decimal place as it is.
Final Answer Therefore, 3 16 expressed as a decimal correct to 4 decimal places is 5.3333 .
Examples
In real life, you might use this calculation when dividing a quantity, like pizza slices, among a group of friends. If you have 16 slices of pizza and 3 friends, each friend would get approximately 5.3333 slices. This kind of calculation is also useful in cooking, where you might need to adjust ingredient quantities based on a recipe that serves a different number of people. For example, if a recipe requires 16 ounces of flour and serves 3 people, you can calculate how much flour each person consumes, which is approximately 5.3333 ounces.
