Final answer:
The expression 22-3 is equivalent to 22+(-3) since in subtraction, the sign of the number being subtracted changes and addition rules are then applied. Option B is the correct choice for the equivalent expression.
Step-by-step explanation:
The expression 22-3 is asking for the number 22 to have 3 subtracted from it. When subtracting, the sign of the number being subtracted is changed and then addition rules are applied. So, 22-3 becomes 22+(-3). This is equivalent to subtracting a positive number, where after changing the sign, the two numbers add up with their respective signs.
Using the rules of addition:
- When two positive numbers add, the sum is positive.
- When two negative numbers add, the sum is negative.
- If the signs are opposite, subtract the smaller absolute value from the larger one, and the answer has the sign of the larger number.
- For subtraction, change the sign of the second number and follow the rules of addition.
Therefore, the equivalent expression to 22-3 is 22+(-3), which is option B.