Basic arithmetic operations

Oct 13, 2025 by vinooalluri.com 25 views

Introduction

In this article, we will delve into the world of mathematics and explore the concept of account balances. We will use a real-life scenario to demonstrate how to calculate and analyze changes in an account balance over a period of time. Our protagonist, Anna, has $\$274.00$ in her account on Sunday and makes various deposits and purchases throughout the week. We will use a table to track her transactions and calculate her new balance each day.

The Transactions

Day	Debit ($)	Credit ($)
Monday	-50.00	20.00
Tuesday	-30.00	0.00
Wednesday	0.00	40.00
Thursday	-25.00	0.00
Friday	0.00	10.00
Saturday	-40.00	0.00
Sunday	0.00	0.00

Calculating the Balance

To calculate Anna's new balance each day, we need to subtract the debit amount from the previous balance and add the credit amount. Let's go through each day:

Sunday

Anna starts with a balance of $\$274.00$ . There are no transactions on Sunday, so her balance remains the same.

Monday

Anna makes a debit of $\$50.00$ and a credit of $\$20.00$ . To calculate her new balance, we subtract the debit from the previous balance and add the credit:

$\$274.00 - \$50.00 = \$224.00$ $\$224.00 + \$20.00 = \$244.00$

Anna's new balance on Monday is $\$244.00$ .

Tuesday

Anna makes a debit of $\$30.00$ and no credit. To calculate her new balance, we subtract the debit from the previous balance:

$\$244.00 - \$30.00 = \$214.00$

Anna's new balance on Tuesday is $\$214.00$ .

Wednesday

Anna makes no debit and a credit of $\$40.00$ . To calculate her new balance, we add the credit to the previous balance:

$\$214.00 + \$40.00 = \$254.00$

Anna's new balance on Wednesday is $\$254.00$ .

Thursday

Anna makes a debit of $\$25.00$ and no credit. To calculate her new balance, we subtract the debit from the previous balance:

$\$254.00 - \$25.00 = \$229.00$

Anna's new balance on Thursday is $\$229.00$ .

Friday

Anna makes no debit and a credit of $\$10.00$ . To calculate her new balance, we add the credit to the previous balance:

$\$229.00 + \$10.00 = \$239.00$

Anna's new balance on Friday is $\$239.00$ .

Saturday

Anna makes a debit of $\$40.00$ and no credit. To calculate her new balance, we subtract the debit from the previous balance:

$\$239.00 - \$40.00 = \$199.00$

Anna's new balance on Saturday is $\$199.00$ .

Sunday

Anna makes no debit and no credit. Her balance remains the same.

Conclusion

In this article, we analyzed Anna's account balance over a period of seven days. We used a table to track her transactions and calculated her new balance each day. By subtracting the debit amount from the previous balance and adding the credit amount, we were able to determine Anna's new balance at the end of each day. This exercise demonstrates the importance of accurately tracking account balances and making informed financial decisions.

Mathematical Concepts

This article illustrates several mathematical concepts, including:

Subtraction: We used subtraction to calculate the new balance by subtracting the debit amount from the previous balance.
Addition: We used addition to calculate the new balance by adding the credit amount to the previous balance.
Basic arithmetic operations: We used basic arithmetic operations such as subtraction and addition to calculate the new balance.

Real-World Applications

This article has real-world applications in finance and accounting. Accurately tracking account balances is crucial for making informed financial decisions and avoiding overdrafts. By understanding how to calculate and analyze changes in an account balance, individuals can better manage their finances and achieve their financial goals.

Future Directions

Introduction

In our previous article, we analyzed Anna's account balance over a period of seven days. We used a table to track her transactions and calculated her new balance each day. In this article, we will answer some frequently asked questions (FAQs) related to Anna's account balance.

Q&A

Q: What is the initial balance of Anna's account?

A: The initial balance of Anna's account is $\$274.00$ .

Q: What is the total debit amount for the week?

A: The total debit amount for the week is $\$175.00$ ( $50.00 + 30.00 + 25.00 + 40.00 + 30.00$ ).

Q: What is the total credit amount for the week?

A: The total credit amount for the week is $\$80.00$ ( $20.00 + 40.00 + 10.00 + 20.00$ ).

Q: What is Anna's final balance on Sunday?

A: Anna's final balance on Sunday is $\$199.00$ .

Q: What is the average daily balance for the week?

A: To calculate the average daily balance, we need to add up all the daily balances and divide by 7.

Day	Balance
Monday	$\$244.00$
Tuesday	$\$214.00$
Wednesday	$\$254.00$
Thursday	$\$229.00$
Friday	$\$239.00$
Saturday	$\$199.00$
Sunday	$\$199.00$

The sum of the daily balances is $\$1418.00$ . The average daily balance is $\$1418.00 / 7 = \$202.00$ .

Q: What is the percentage change in Anna's balance from Sunday to Saturday?

A: To calculate the percentage change, we need to find the difference between the initial and final balances and divide by the initial balance.

The difference between the initial and final balances is $\$274.00 - \$199.00 = \$75.00$ . The percentage change is ( $\$75.00 / \$274.00$ ) x 100% = 27.3%.

Q: What is the impact of the debit and credit transactions on Anna's balance?

A: The debit transactions have a negative impact on Anna's balance, while the credit transactions have a positive impact. The debit transactions reduce Anna's balance, while the credit transactions increase her balance.

Conclusion

In this article, we answered some frequently asked questions related to Anna's account balance. We calculated the total debit and credit amounts, Anna's final balance, average daily balance, and percentage change in her balance. We also discussed the impact of the debit and credit transactions on Anna's balance.

Mathematical Concepts

This article illustrates several mathematical concepts, including:

Subtraction: We used subtraction to calculate the new balance by subtracting the debit amount from the previous balance.
Addition: We used addition to calculate the new balance by adding the credit amount to the previous balance.
Percentage change: We used percentage change to calculate the impact of the debit and credit transactions on Anna's balance.
Average: We used average to calculate the average daily balance.

Real-World Applications

Future Directions

In future articles, we can explore more complex mathematical concepts and their applications in finance and accounting. We can also use real-life scenarios to demonstrate how to calculate and analyze changes in an account balance over a period of time.