Question

The table shows the most recent transactions in Marty's bank account.

Transaction Amount ($)
Initial Deposit 172
Debit Card Purchase –17
ATM Withdrawal –40
Deposit 48

Determine the balance in Marty's account after these transactions. To find your answer, did you add the integers in order or use the Commutative and Associative Properties of Addition to group positive and negative integers? Explain your reasoning.

Answer 1

Marty's bank account balance after the transactions is $163. The calculation involves adding the positive amounts and negative amounts separately before combining the results. The Commutative or Associative Properties can be used for convenience but are not necessary in this context.

Step-by-step explanation:

To determine the balance in Marty's bank account after the listed transactions, we need to add and subtract money according to the transactions given in the table. The initial deposit is a positive transaction, while the debit card purchase and ATM withdrawal are negative transactions. The additional deposit is also a positive transaction. Here is the step-by-step calculation of Marty's account balance:

• Initial Deposit: $172
• Debit Card Purchase: -$17
• ATM Withdrawal: -$40
• Deposit: +$48

Using the rules of addition and subtraction for integers:

• When two positive numbers add, the result is positive.
• When two negative numbers add, the result is negative.
• When adding numbers with opposite signs, subtract the smaller number from the larger one, and give the result the sign of the larger number.
• For subtraction, change the sign of the number being subtracted and then follow the addition rules.

Here, we don't need to use the Commutative or Associative Properties explicitly, but you can certainly use them to rearrange the terms to make the math easier, such as grouping positive and negative amounts separately before combining them.

Therefore:

1. Add the positive amounts: $172 + $48 = $220
2. Add up the negative amounts: -$17 + -$40 = -$57
3. Add the results of the positive and negative amounts: $220 + (-$57) = $163

The balance in Marty's account after these transactions is $163.

Answer 2

The balance in Marty's account after the transactions is $163. To determine this, we grouped and added the positive and negative transactions separately before combining them for the final balance.

Step-by-step explanation:

To determine the balance in Marty's bank account after the recent transactions, we should follow the rules for add and subtract money. We will add the positive numbers to each other and the negative numbers to each other, and then combine the two results. Marty's account transactions were: an initial deposit of $172, a debit card purchase for $17, an ATM withdrawal of $40, and an additional deposit of $48.

First, we add the deposits:

Initial Deposit: $172

Additional Deposit: $48

So, $172 + $48 = $220.

Next, we add the debits and withdrawals:

Debit Card Purchase: $-17

ATM Withdrawal: $-40

So, $-17 + ($-40) = $-57.

Finally, we combine the total deposits and total withdrawals to find Marty's account balance:

$220 + ($-57) = $163

The balance in Marty's account is $163 after these transactions. To find the answer, we can use the Commutative and Associative Properties of Addition to group positive and negative integers for a simplified calculation. By organizing the transactions into positive and negative amounts separately, we minimized the number of steps and made the calculation easier.