Which of the following is an equivalent expression to 12(9−70)+(−29)0 ? (1 point)
Responses
12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1
12(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0
12(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1
12(9−1)+1
The correct expression that is equivalent to 12(9−70)+(−29)0 is 12(9−0)+0.
To determine an equivalent expression to 12(9−70)+(−29)0, we simplify the given expression step by step.
Step 1: Simplify the parentheses.
12(9−70) simplifies to 12(-61).
So, the expression becomes 12(-61)+(−29)0.
Step 2: Simplify the multiplication.
12(-61) equals -732.
So, the expression becomes -732+(−29)0.
Step 3: Simplify the addition and multiplication.
-732+(−29)0 simplifies to -732+0.
Thus, the equivalent expression is -732.
To find the equivalent expression to 12(9−70)+(−29)0, we need to simplify the given expression.
First, let's simplify the expressions within the parentheses:
9 - 70 = -61
Next, let's evaluate the expression -29 * 0:
-29 * 0 = 0
Now, we can substitute these simplified expressions back into the original expression:
12(-61) + 0 = -732
Therefore, the equivalent expression to 12(9−70)+(−29)0 is -732.
Therefore, none of the given responses (12(9−1)−1, Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1, Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0, Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1, Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis plus 1) are equivalent to the given expression.