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Question
Consider the steps to simplify the expression. What property of operation is used in Step 1?
Expression: -437
+ 7 - 347
Step 1: = -437
+ 7 + (-347
)
Step 2: = -437
+ (-347
) + 7
Step 3: = -4 + (-37
) + (-3) + (-47
) + 7
Step 4: = -4 + (-37
) + (-47
) + (-3) + 7
Step 5: = -4 + (-1) + (-3) + 7
Step 6: = -8 + 7
Step 7: = -1
Responses
A Apply the associate property of addition.Apply the associate property of addition.
B Apply the commutative property of addition.Apply the commutative property of addition.
C The opposite of a sum is the sum of it's opposites.The opposite of a sum is the sum of it's opposites.
D Subtracting a number is the same as adding the inverse.Subtracting a number is the same as adding the inverse.
11 answers
+ (34
+ 23)?
1/3 + 57
13 + 34 + 23
1/3 + 57
The common denominator for 3 and 4 is 12.
1/3 can be written as 4/12 and 2/3 can be written as 8/12.
So the expression becomes:
4/12 + (3/4 + 8/12)
Now, let's simplify further:
4/12 + (9/12 + 8/12)
Combining the fractions:
4/12 + 17/12
Adding the fractions:
(4 + 17)/12
21/12
Therefore, the expression equivalent to 1/3 + (3/4 + 2/3) is 21/12.
+ 8 − 22
.
(10-6)^2 = 4^2 = 16
So now the expression becomes:
16 + 8 - 22
Next, we perform addition and subtraction left to right:
16 + 8 = 24
24 - 22 = 2
Therefore, the simplified expression is 2.