Integers

Integers are a set of whole numbers that include both positive and negative numbers, as well as zero. They can be represented on a number line, where positive numbers are located to the right of zero and negative numbers are located to the left of zero.

Subtraction of Integers

When subtracting integers, the process involves finding the difference between two numbers. This can be done by adding the opposite of the number being subtracted. In this case, we are subtracting 0.5 from -10.

Calculation

To calculate (-10) - 0.5, we need to add the opposite of 0.5 to -10. The opposite of 0.5 is -0.5. So, the expression can be rewritten as (-10) + (-0.5).

Addition of Integers

When adding integers, we combine the numbers together. If the signs of the numbers are the same, we add the absolute values and keep the same sign. If the signs are different, we subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.

Applying Addition Rule

Using the addition rule for integers, we can add -10 and -0.5 together. The absolute value of -10 is 10, and the absolute value of -0.5 is 0.5. Since the signs of both numbers are negative, we add the absolute values and keep the negative sign.

Final Calculation

Therefore, (-10) - 0.5 can be calculated as (-10) + (-0.5) = -10 - 0.5 = -10.5.

Conclusion

The result of (-10) - 0.5 is -10.5. When subtracting 0.5 from -10, we add the opposite of 0.5, which is -0.5, to -10. By applying the rules of addition for integers, we combine the numbers and keep the negative sign since both numbers are negative.