Question

reason abstractly lena deposits and withdraws money from a bank account. the table shows her transactions for march.

1. write an addition expression to describe her transactions.
2. find the sum and explain its meaning.

march
week transaction
1 deposit $300
2 withdraw $50
3 withdraw $75
4 deposit $25

Explanation:

Step1: Define deposit as positive and withdrawal as negative

Let a deposit be a positive - valued number and a withdrawal be a negative - valued number. The transactions are: deposit of $300 in week 1 (so + 300), withdrawal of $50 in week 2 (so - 50), withdrawal of $75 in week 3 (so - 75), and deposit of $25 in week 4 (so + 25).
The addition expression is $300+( - 50)+( - 75)+25$.

Step2: Simplify the addition expression

First, combine the positive and negative numbers separately.
$300 + 25=325$ and $-50+( - 75)=-125$.
Then, add the two results: $325+( - 125)=325 - 125 = 200$.
The sum of the transactions represents the net change in Lena's bank - account balance for the month of March. A positive sum means that, overall, Lena has more money in her account at the end of March compared to the start of March.

Answer:

The addition expression is $300+( - 50)+( - 75)+25$. The sum is $200$, which means that Lena's account balance increased by $200$ in March.