Fill in the blanks. Then, choose the property of addition you used.
(a) +75 = +5
(b) ++54 = +5+49
(c) +6 = 6
(a) +75 = +5
Using the property of addition: additive identity
(b) ++54 = +5+49
Using the property of addition: commutative property
(c) +6 = 6
Using the property of addition: additive identity
To fill in the blanks, we need to determine the missing numbers that would make the equations true.
(a) To find the missing number in the equation +75 = +5, we need to subtract 5 from 75 since addition is the inverse operation of subtraction. So, 75 - 5 = 70. Thus, the missing number is 70.
(b) In the equation ++54 = +5 + 49, we need to simplify the right side by adding 5 and 49. 5 + 49 equals 54. Since ++54 represents a positive number, the missing number is 54.
(c) The equation +6 = 6 is already correct. No missing number is required.
The property of addition used in all three cases is the addition identity property. This property states that any number added to zero or vice versa remains unchanged. In this case, the missing numbers were determined by subtracting or adding zero, which did not change the value of the original numbers.
(a) +75 = +5
To find the missing number, we subtract 75 from +5.
+75 - 75 = +0
Therefore, the missing number is +0.
The property of addition used here is the additive identity property, which states that adding zero to any number gives the same number.
(b) ++54 = +5 + 49
To find the missing number, we simplify the expression on the right side.
+5 + 49 = +54
Therefore, the missing number is +54.
The property of addition used here is the commutative property, which states that the order of the numbers being added does not affect the sum.
(c) +6 = 6
There are no missing numbers in this example.
The property of addition used here is the identity property, which states that any number added to zero gives the same number.