We want to determine which account has the greater balance. We can do so by following three steps.
We know that the initial balance of Bank Account A is $ 750.92. Then the balance changes by - $ 216.38. Notice that the new balance will be the sum of $ 750.92 and - $ 216.38. Let's write an expression for the new balance!
$ 750.92 +( - $ 216.38)
Looking at the , we can see that we want to add two with different . To do so, we will subtract the lesser from the greater absolute value. We can start by calculating the absolute values of the .
| $ 750.92|&=$ 750.92 | - $ 216.38|&=$ 216.38
The absolute value of $ 750.92 is greater than the absolute value of - $ 216.38. This means that we should subtract the absolute value of - $ 216.38, $ 216.38, from the absolute value of $ 750.92, $ 750.92. Let's do it!
$ 750.92-$ 216.38=$534.54
Since the number with the greater absolute value, $ 750.92, has a sign, the sum of $ 750.92 and - $ 216.38 is a positive number, $534.54. This means that the new balance of Bank Account A is $534.54.
Bank Account B
Initially, Bank Account B has the balance of $ 675.44. Then Account B changes by - $ 168.49. The new balance will be the sum of $ 675.44 and - $ 168.49. Let's write an addition expression for the new balance!
$ 675.44 +( - $ 168.49)
Looking at the expression, we can see that we are adding two rational number with different signs. To do so, we will subtract the lesser absolute value from the greater absolute value. We can start by calculating the absolute values of the addends.
| $ 675.44|&=$ 675.44 | - $ 168.49|&=$ 168.49
The absolute value of $ 675.44 is greater than the absolute value of - $ 168.49, so we subtract the absolute value of - $ 168.49, $ 168.49, from the absolute value of $ 675.44, $ 675.44. Let's do it!
$ 675.44-$ 168.49= $506.95
Since the number with the greater absolute value, $ 675.44, has a positive sign, the sum of $ 675.44 and - $ 168.49 is a positive number, $506.95. We found that the new balance of Bank Account B is $506.95.
Comparison
Now we can compare the new balance of Bank Account A, $534.54, and the new balance of Bank Account B, $506.95. Let's do it!
$534.54> $506.95
The balance of Bank Account A, $534.54, is greater than the balance of Bank Account B, $506.95. This means that Bank Account A has the greater balance.
