Math

QuestionFind the values for A+1A+1 and A+6A+6. If Jonathan's balance is -\$45 and he deposits \$7, what is his new balance?

Studdy Solution

STEP 1

Assumptions1. The value of point AA on the number line is known. . Addition of integers follows the rule that if the signs are the same, you add the absolute values and keep the sign. If the signs are different, you subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.
3. The balance of Jonathan's account is initially $45-\$45.
4. Jonathan deposits $7\$7 into his account.

STEP 2

To find the value of A+1A+1, we simply add1 to the value of AA on the number line.
A+1=A+1A+1 = A +1

STEP 3

To find the value of A+6A+6, we add6 to the value of AA on the number line.
A+6=A+6A+6 = A +6

STEP 4

To find the balance of Jonathan's account after his deposit, we add the deposit amount to his initial balance. Remember that his initial balance is negative, so we are essentially subtracting 77 from 4545.
Balance=Initialbalance+DepositBalance = Initial\, balance + Deposit

STEP 5

Now, plug in the given values for the initial balance and the deposit to calculate the balance.
Balance=$45+$7Balance = -\$45 + \$7

STEP 6

Calculate the balance of Jonathan's account after his deposit.
Balance=$45+$=$38Balance = -\$45 + \$ = -\$38Jonathan's account balance after his deposit is $38-\$38.

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