Calculate Daily to Yearly: Converting 5 Cups × 365 Days

Q: Why do we use 365 days instead of 360?

A standard year has 365 days, not 360! Using 360 would give you 1800 cups instead of 1825, missing 25 cups of tea. Always use the exact number of days.

Q: What if it's a leap year with 366 days?

Great question! In a leap year, Mark would drink $ 5 \times 366 = 1830 $ cups. Unless the problem specifically mentions a leap year, use 365 days.

Q: How can I check if 1825 is reasonable?

Think about it: 5 cups per day feels reasonable, and $ 1825 ÷ 365 = 5 $ confirms our daily amount. Also, 1825 is close to 1800 (5 × 360), which makes sense!

Q: Is there a faster way to multiply 5 × 365?

Yes! Break it down: $ 5 \times 365 = 5 \times (300 + 65) = 1500 + 325 = 1825 $. Or think: 5 × 400 = 2000, then subtract $ 5 \times 35 = 175 $ to get 1825.

Q: What if the person drinks a different amount each day?

This problem assumes Mark drinks exactly 5 cups every single day. If the amount varied daily, we'd need the specific amounts for each day to find the total.

Multiplication with Annual Time Periods

Mark drinks 5 cups of tea a day.

How many cups of tea does Mariano drink in a year?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 How many books does Moses read in a year?

00:03 Given: books Moses reads per day, number of days in a year

00:08 We will use long multiplication to calculate

00:12 We will calculate each multiplication separately and then put it in the long multiplication

00:53 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Mark drinks 5 cups of tea a day.

How many cups of tea does Mariano drink in a year?

Step-by-step solution

To solve this problem, we will calculate the total number of cups Mariano drinks in a year:

Step 1: Identify the number of cups Mariano drinks per day, which is given as 5 cups.
Step 2: Identify the number of days in a year, generally considered to be 365 days.
Step 3: Multiply the daily consumption by the number of days in a year: $5 \times 365$ .

Performing the calculation:
$5 \times 365 = 1825$ .

Therefore, Mariano drinks a total of 1825 cups of tea in a year. This corresponds to choice number $2: \text{ $ 1825 } $$ .

Final Answer

$1825$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply daily amount by number of days per year
Technique: Calculate $5 \times 365 = 1825$ for total annual consumption
Check: Verify 1825 ÷ 365 = 5 cups daily makes sense ✓

Common Mistakes

Avoid these frequent errors

Using wrong number of days in a year
Don't use 360 days or round to 300 days = wrong total like 1800! This underestimates by 25 cups because you're missing 5 days of consumption. Always use exactly 365 days for a standard year.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do we use 365 days instead of 360?

A standard year has 365 days, not 360! Using 360 would give you 1800 cups instead of 1825, missing 25 cups of tea. Always use the exact number of days.

What if it's a leap year with 366 days?

Great question! In a leap year, Mark would drink $5 \times 366 = 1830$ cups. Unless the problem specifically mentions a leap year, use 365 days.

How can I check if 1825 is reasonable?

Think about it: 5 cups per day feels reasonable, and $1825 ÷ 365 = 5$ confirms our daily amount. Also, 1825 is close to 1800 (5 × 360), which makes sense!

Is there a faster way to multiply 5 × 365?

Yes! Break it down: $5 \times 365 = 5 \times (300 + 65) = 1500 + 325 = 1825$ . Or think: 5 × 400 = 2000, then subtract $5 \times 35 = 175$ to get 1825.

What if the person drinks a different amount each day?

This problem assumes Mark drinks exactly 5 cups every single day. If the amount varied daily, we'd need the specific amounts for each day to find the total.

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