1.
2-(-3)
Explanation
Subtracting a negative number is the same as adding its positive counterpart. Therefore, 2 - (-3) becomes 2 + 3, which equals 5. This concept is fundamental to arithmetic operations with signed numbers.
2.
-2-(-3)
Explanation
The expression -2-(-3) can be simplified as -2 + 3, which equals 1.
3.
2-3
Explanation
The given sequence of numbers is 2, 3, -1. The pattern in the sequence is that each number is obtained by subtracting 1 from the previous number. Therefore, the next number in the sequence would be obtained by subtracting 1 from -1, which gives us -2. However, since the options provided do not include -2, the correct answer is -1.
4.
3-5
Explanation
When subtracting a larger number (5) from a smaller number (3), the result is a negative number. Therefore, 3 - 5 = -2.
5.
2-(-6)
Explanation
The given expression is 2-(-6). When we subtract a negative number, it is equivalent to adding the positive value of that number. So, -(-6) becomes +6. Therefore, the expression simplifies to 2+6, which equals 8.
6.
11-(-15)
Explanation
The given expression is 11 minus negative 15. When subtracting a negative number, it is equivalent to adding the positive value. Therefore, 11 minus negative 15 is the same as 11 plus 15, which equals 26.
7.
-7-(-2)
Explanation
The given expression, -7-(-2), can be simplified by applying the rule of subtracting a negative number, which is equivalent to adding a positive number. Therefore, -7-(-2) becomes -7+2, resulting in -5.
8.
-3-(-8)
Explanation
The expression -3-(-8) can be simplified by applying the rule of subtracting a negative number, which is equivalent to adding the positive number. So, -3-(-8) becomes -3+8. When we add -3 and 8, we get 5. Therefore, the answer is 5.
9.
-20-(-10)
Explanation
The expression -20-(-10) can be simplified by removing the parentheses and applying the rule of subtracting a negative number, which is equivalent to adding the positive number. Therefore, -20-(-10) becomes -20+10, resulting in -10.
10.
14-(-3)
Explanation
The given expression is 14 minus negative 3. Subtracting a negative number is the same as adding its positive counterpart. So, 14 minus negative 3 is equivalent to 14 plus 3, which equals 17.
11.
-3+(-9)
Explanation
The given expression is -3 + (-9). When we add a negative number, it is equivalent to subtracting that number. So, -3 + (-9) can be rewritten as -3 - 9, which equals -12.
12.
7+(-10)
Explanation
The given expression is 7+(-10), which means adding 7 and -10 together. When we add a positive number and a negative number, we subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value. In this case, the absolute value of -10 is larger than 7, so we subtract 7 from 10 and keep the negative sign, resulting in -3. Therefore, the answer is -3.
13.
-6-9
Explanation
When subtracting a positive number from a negative number, you move further in the negative direction on the number line. Starting at -6 and subtracting 9 is the same as adding 6 and 9 and placing a negative sign in front. Therefore, -6 - 9 equals -15.
14.
-10/-2
Explanation
The given expression -10/-2 can be simplified by dividing -10 by -2, which gives a result of 5. Therefore, the answer to the expression is 5.
15.
(-4)(7)
Explanation
The given expression (-4)(7) represents the product of -4 and 7. When we multiply -4 by 7, we get -28 as the result. Therefore, the answer is -28.
16.
36/-4
Explanation
The given expression, 36/-4, can be simplified by dividing 36 by -4. When we divide 36 by -4, we get a quotient of -9. Therefore, the correct answer is -9.
17.
-45/-5
Explanation
The given expression is -45 divided by -5. When dividing two negative numbers, the result is always positive. Therefore, -45 divided by -5 equals 9.
18.
(-11)(8)
Explanation
The given expression (-11)(8) represents the product of -11 and 8. When two negative numbers are multiplied, the result is always positive. Therefore, the product of -11 and 8 is -88.
19.
-48/6
Explanation
The given expression is -48/6, which can be simplified by dividing -48 by 6. -48 divided by 6 equals -8. Therefore, the answer is -8.
20.
15(-2)
Explanation
The given expression, 15(-2), can be simplified by multiplying 15 and -2. The product of 15 and -2 is -30. Therefore, the correct answer is -30.
21.
-3(12)
Explanation
The given expression is -3 multiplied by 12. When we multiply -3 by 12, we get -36 as the result. Therefore, the answer to the expression -3(12) is -36.
22.
-81/-9
Explanation
The given expression is -81 divided by -9. When we divide a negative number by a negative number, the result is positive. Therefore, -81 divided by -9 equals 9.
23.
-36/4
Explanation
The expression -36/4 simplifies to -9. When dividing a negative number by a positive number, the result is always negative. In this case, -36 divided by 4 equals -9.
24.
(-5)(-7)
Explanation
The given expression (-5)(-7) represents the product of -5 and -7. When two negative numbers are multiplied together, the result is always positive. Therefore, the product of -5 and -7 is 35.
25.
(-9)(6)
Explanation
The given expression is the product of -9 and 6. When we multiply a negative number (-9) by a positive number (6), the result is always negative. Therefore, the product of -9 and 6 is -54.