Notice that $$ 7+(7-3)-1=10 $$, but that a different placement of parentheses would yield the statement $$ (7+7)-(3-1)=12 $$. Place parentheses to turn the equalities below into true statements. (a) $$ 13-8-4-1=8 $$ (b) $$ 13-8-4-1=0 $$ (a) Choose the true statement below. A. $$ (13-8)-(4-1)=8 $$ B. $$ 13-8-4-1=8 $$ (F. $$ 13-(8-4)-1=8 $$ (b) Choose the true statement below. A. $$ 13-8-4-1=0 $$ B. $$ (13-8)-(4-1)=0 $$ C. $$ 13-(8-4)-1=0 $$

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UpStudy AI · Accepted Answer

(a) We need to verify the options:

Option A:  
$$
(13-8)-(4-1)= (5)-(3)=2 \quad \text{(which is not }8\text{)}
$$

Option B:  
$$
13-8-4-1 \quad \text{is evaluated left to right:} \quad 13-8=5,\; 5-4=1,\; 1-1=0 \quad \text{(which is not }8\text{)}
$$

Option F:  
$$
13-(8-4)-1
$$
First evaluate inside the parentheses:  
$$
8-4=4
$$
Then substitute back:  
$$
13-4-1=8 \quad \text{(which is the correct result)}
$$

Thus, the true statement for (a) is  
$$
\boxed{13-(8-4)-1=8}.
$$

(b) Now, verify the options:

Option A:  
$$
13-8-4-1 \quad \text{evaluates as:} \quad 13-8=5,\; 5-4=1,\; 1-1=0 \quad \text{(which is correct)}
$$

Option B:  
$$
(13-8)-(4-1)= 5-3=2 \quad \text{(which is not }0\text{)}
$$

Option C:  
$$
13-(8-4)-1= 13-4-1=8 \quad \text{(which is not }0\text{)}
$$

Thus, the true statement for (b) is  
$$
\boxed{13-8-4-1=0}.
$$
(a) The correct statement is $$ 13-(8-4)-1=8 $$. (b) The correct statement is $$ 13-8-4-1=0 $$.

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