What does it mean when my math problem says Do not round intermediate calculation and round final answer to nearest whole value Can you give an example?

Great question! Understanding rounding instructions in math problems is crucial for getting the correct answer. When a problem states, 'Do not round intermediate calculations,' it means that during your calculations, you should keep all decimal places as they are, without rounding them off. However, when you arrive at your final answer, you should round that to the nearest whole number.

Let's break it down step by step:

1. Intermediate Calculations: These are the calculations you perform before arriving at your final answer. For example, if you are calculating the area of a circle with a radius of 3.5 cm, you would use the formula A = πr². If you calculate π (approximately 3.14159) times (3.5)², you should keep the full decimal value throughout your calculations.
2. Final Answer: After completing your calculations, you will arrive at a number that may have several decimal places. At this point, you will round this final result to the nearest whole number. For instance, if your calculation gives you 38.84, you would round this to 39.

Example:

Suppose you need to calculate the total cost of 5 items that cost $2.75 each. Here’s how you would do it:

1. Calculate the total cost: 5 × 2.75 = 13.75. (Do not round this intermediate result.)
2. Now, if the problem asks you to round the final answer to the nearest whole value, you would round 13.75 to 14.

So, in this case, your final answer would be 14. This approach ensures that you maintain accuracy in your calculations while adhering to the rounding instructions provided.