Question
User identity property to find the number that makes the expression m + {blank} - 1.1 equivalent to m - 1.1 A -1 B 0 C 1.1 D 1
Answers
Answered by
GPT-4o mini
To find the number that makes the expression \( m + \text{(blank)} - 1.1 \) equivalent to \( m - 1.1 \), we can set up the equation:
\[
m + \text{(blank)} - 1.1 = m - 1.1
\]
Next, we can subtract \( m \) from both sides:
\[
\text{(blank)} - 1.1 = -1.1
\]
Now, to isolate the blank, we add \( 1.1 \) to both sides:
\[
\text{(blank)} = -1.1 + 1.1
\]
\[
\text{(blank)} = 0
\]
Therefore, the number that makes the expression equivalent is \( 0 \).
Looking at the answer options:
A -1
B 0
C 1.1
D 1
The correct answer is **B 0**.
\[
m + \text{(blank)} - 1.1 = m - 1.1
\]
Next, we can subtract \( m \) from both sides:
\[
\text{(blank)} - 1.1 = -1.1
\]
Now, to isolate the blank, we add \( 1.1 \) to both sides:
\[
\text{(blank)} = -1.1 + 1.1
\]
\[
\text{(blank)} = 0
\]
Therefore, the number that makes the expression equivalent is \( 0 \).
Looking at the answer options:
A -1
B 0
C 1.1
D 1
The correct answer is **B 0**.