4.32 - 12.751 = ? 9.37 + (-4.63) = ?
Understand the Problem
The question consists of two mathematical problems: one is a subtraction and the other is an addition involving a negative number. We will solve both expressions step by step.
Answer
1. $4.32 - 12.751 = -8.431$ 2. $9.37 + (-4.63) = 4.74$
Answer for screen readers
The answers are:
-
$4.32 - 12.751 = -8.431$
-
$9.37 + (-4.63) = 4.74$
Steps to Solve
- Subtraction of the first expression
To solve $4.32 - 12.751$, we align the numbers vertically for easier subtraction:
4.320
- 12.751
Next, we can proceed from right to left, borrowing as needed:
- Starting from the thousandths place: $0 - 1$ needs borrowing, which turns our $4.320$ into $4.319$ and the $0$ becomes $10$. Now, $10 - 1 = 9$.
- In the hundredths place: $2 - 5$, borrow again, resulting in $12 - 5 = 7$ after borrowing.
- For the tenths place: $2 - 7$, again borrow. Now we calculate $12 - 7 = 5$.
- Finally, in the units place: $3 - 2 = 1$ after borrowing.
- The outcome is $-8.431$.
So, $4.32 - 12.751 = -8.431$.
- Addition of the second expression
To solve $9.37 + (-4.63)$, we can rewrite this as $9.37 - 4.63$.
Align the numbers for simplification:
9.370
- 4.630
Now, perform the subtraction:
- In the thousandths place: $0 - 0 = 0$.
- In the hundredths place: $7 - 3 = 4$.
- In the tenths place: $3 - 6$ requires borrowing, so we have $13 - 6 = 7$ after borrowing.
- In the units place: $8 - 4 = 5$.
Thus, $9.37 + (-4.63) = 4.74$.
The answers are:
-
$4.32 - 12.751 = -8.431$
-
$9.37 + (-4.63) = 4.74$
More Information
When subtracting a larger number from a smaller number, the result is negative. In the second expression, adding a negative number is equivalent to subtraction. It’s important to align decimals correctly for clear calculations.
Tips
- Forgetting to borrow when required, leading to incorrect results in subtraction.
- Misinterpreting addition with negatives as simply adding numbers rather than subtracting.