Final answer:
Addition and subtraction of decimal numbers use basic arithmetic rules, including keeping the sign of the larger magnitude when the signs differ, and changing the sign in subtraction before adding.
Step-by-step explanation:
The subject of this question involves adding and subtracting decimal numbers, which is a fundamental concept in Mathematics, typically taught in Middle School.
Here are the solutions:
- a. -2.63 + 33 = 30.37
- b. -4 - (-1.07) = -4 + 1.07 = -2.93
- c. 0.74 + (-2) = 0.74 - 2 = -1.26
- d. -3 - 0.356 = -3.356
The rules applied here are straightforward. When adding two numbers with the same sign, we add their magnitudes and keep the common sign. When adding two numbers with different signs, we subtract the smaller magnitude from the larger magnitude and keep the sign of the number with the larger magnitude. In subtraction, we change the sign of the number being subtracted and then apply the rules for addition.