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Use the order of operations to evaluate: [tex]-7.6-2[9+(-6.8)][/tex]

First, simplify the parentheses: [tex][9+(-6.8)]=2.2[/tex].

Now the expression is: [tex]-7.6-2(2.2)[/tex].

Since there are no exponents in this problem, the next step is to multiply: [tex]-2(2.2) = -4.4[/tex].

Simplify the previous step: [tex]-7.6 - 4.4 = -12.0[/tex].

The final answer is [tex]-12.0[/tex].

Sagot :

GinnyAnsweridn
Certainly! Let's follow the order of operations to evaluate the expression [tex]\(-7.6 - 2[9 + (-6.8)]\)[/tex].

1. Simplify the parentheses:
Inside the brackets, add [tex]\(9\)[/tex] and [tex]\(-6.8\)[/tex]:
[tex]\[ 9 + (-6.8) = 2.2 \][/tex]
So the expression becomes:
[tex]\[ -7.6 - 2(2.2) \][/tex]

2. Handle multiplication next:
Multiply [tex]\(2\)[/tex] by [tex]\(2.2\)[/tex]:
[tex]\[ 2 \times 2.2 = 4.4 \][/tex]

Now the expression is simplified to:
[tex]\[ -7.6 - 4.4 \][/tex]

3. Perform the subtraction:
Finally, subtract [tex]\(4.4\)[/tex] from [tex]\(-7.6\)[/tex]:
[tex]\[ -7.6 - 4.4 = -12.0 \][/tex]

Hence, the final answer is:
[tex]\[ -12.0 \][/tex]
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