name the property that justifies (-2.6) +7 = 7+(-2.6)
Commutative Property (think commute or move around)is the one that refers to moving stuff around.
For addition, the rule is a + b = b + a
From purplemath dot com
what property of real numbers justifies 7+(3+2x)=(7+3)+2x ?
comm. property of addition
The property that justifies the equation (-2.6) + 7 = 7 + (-2.6) is called the commutative property of addition.
The commutative property of addition states that changing the order of the operands (numbers being added) does not affect the sum. In other words, when adding two numbers, it doesn't matter which number comes first, as the result will be the same.
To see why this property applies to the given equation, let me explain step by step:
Step 1: The equation (-2.6) + 7 means we are adding (-2.6) and 7 together.
Step 2: According to the commutative property of addition, we can switch the order of the operands and still get the same result. So, we can rewrite the equation as 7 + (-2.6).
Step 3: Computing both sides of the equation:
On the left-hand side, (-2.6) + 7 equals 4.4, which is obtained by adding -2.6 to 7.
On the right-hand side, 7 + (-2.6) also equals 4.4. Again, we perform the addition, this time adding 7 to -2.6.
Step 4: Since the computation on both sides of the equation results in the same value of 4.4, we can conclude that (-2.6) + 7 = 7 + (-2.6) using the commutative property of addition.
Therefore, the commutative property of addition justifies the equation (-2.6) + 7 = 7 + (-2.6).