Question

compute.
$-6.43 - 22.3 = \square$
$32.6 + (-56.24) = \square$

Explanation:

for first calculation:

Step1: Rewrite subtraction as addition

Subtracting a number is the same as adding its opposite, so \(-6.43 - 22.3 = -6.43 + (-22.3)\).

Step2: Add the two negative numbers

To add two negative decimals, we add their absolute values and keep the negative sign. The absolute value of \(-6.43\) is \(6.43\) and the absolute value of \(-22.3\) is \(22.3\). Adding these absolute values: \(6.43 + 22.3 = 28.73\). So, \(-6.43 + (-22.3)= -28.73\).

for second calculation:

Step1: Rewrite addition of negative

Adding a negative number is the same as subtracting its absolute value, so \(32.6 + (-56.24)=32.6 - 56.24\).

Step2: Subtract the larger from the smaller

Since \(56.24>32.6\), we subtract \(32.6\) from \(56.24\) and take the negative sign. \(56.24 - 32.6 = 23.64\), so \(32.6 - 56.24=-23.64\).

Answer:

For \(-6.43 - 22.3\), the answer is \(-28.73\).
For \(32.6 + (-56.24)\), the answer is \(-23.64\).