We read your photo as:

Use the associative property to solve the following equations: a) [(-6) + (4 + 2)], b) [3 + 7 + (-5)], c) [(6 + 4) + (-2)], d) [(-3) + 7 + 5], e) [(-4) + (6 + 2)], f) [3 + (-7) + 5]

Mathematics

ScanSolve AI Answer

Step-by-step solution

30 steps

Here are the calculations using the associative property:

Part a· 3 steps

[(−6)+(4+2)][(-6) + (4 + 2)]

  1. Apply the associative property to regroup the terms.

    [(−6)+(4+2)]=((−6)+4)+2[(-6) + (4 + 2)] = ((-6) + 4) + 2

  2. Perform the addition inside the first parenthesis.

    =(−2)+2= (-2) + 2

  3. Perform the final addition.

    =0= \boxed{0}

Part b· 3 steps

[3+7+(−5)][3 + 7 + (-5)]

  1. Apply the associative property to regroup the terms.

    [3+7+(−5)]=(3+7)+(−5)[3 + 7 + (-5)] = (3 + 7) + (-5)

  2. Perform the addition inside the parenthesis.

    =10+(−5)= 10 + (-5)

  3. Perform the final addition.

    =5= \boxed{5}

Part c· 3 steps

[(6+4)+(−2)][(6 + 4) + (-2)]

  1. Apply the associative property to regroup the terms.

    [(6+4)+(−2)]=6+(4+(−2))[(6 + 4) + (-2)] = 6 + (4 + (-2))

  2. Perform the addition inside the parenthesis.

    =6+2= 6 + 2

  3. Perform the final addition.

    =8= \boxed{8}

Part d· 3 steps

[(−3)+7+5][(-3) + 7 + 5]

  1. Apply the associative property to regroup the terms.

    [(−3)+7+5]=(−3)+(7+5)[(-3) + 7 + 5] = (-3) + (7 + 5)

  2. Perform the addition inside the parenthesis.

    =(−3)+12= (-3) + 12

  3. Perform the final addition.

    =9= \boxed{9}

Part e· 3 steps

[(−4)+(6+2)][(-4) + (6 + 2)]

  1. Apply the associative property to regroup the terms.

    [(−4)+(6+2)]=((−4)+6)+2[(-4) + (6 + 2)] = ((-4) + 6) + 2

  2. Perform the addition inside the first parenthesis.

    =2+2= 2 + 2

  3. Perform the final addition.

    =4= \boxed{4}

Part f· 3 steps

[3+(−7)+5][3 + (-7) + 5]

  1. Apply the associative property to regroup the terms.

    [3+(−7)+5]=3+((−7)+5)[3 + (-7) + 5] = 3 + ((-7) + 5)

  2. Perform the addition inside the parenthesis.

    =3+(−2)= 3 + (-2)

  3. Perform the final addition.

    =1= \boxed{1}

Part g· 3 steps

[(−9)+(3+11)][(-9) + (3 + 11)]

  1. Apply the associative property to regroup the terms.

    [(−9)+(3+11)]=((−9)+3)+11[(-9) + (3 + 11)] = ((-9) + 3) + 11

  2. Perform the addition inside the first parenthesis.

    =(−6)+11= (-6) + 11

  3. Perform the final addition.

    =5= \boxed{5}

Part h· 3 steps

[(12+13)+(−10)][(12 + 13) + (-10)]

  1. Apply the associative property to regroup the terms.

    [(12+13)+(−10)]=12+(13+(−10))[(12 + 13) + (-10)] = 12 + (13 + (-10))

  2. Perform the addition inside the parenthesis.

    =12+3= 12 + 3

  3. Perform the final addition.

    =15= \boxed{15}

Part h(i)· 6 steps

[(−3)+(9+11)][(-3) + (9 + 11)]

  1. Apply the associative property to regroup the terms.

    [(−3)+(9+11)]=((−3)+9)+11[(-3) + (9 + 11)] = ((-3) + 9) + 11

  2. Perform the addition inside the first parenthesis.

    =6+11= 6 + 11

  3. Perform the final addition.

    =17= \boxed{17}

    *j) [(−12)+(13+10)][(-12) + (13 + 10)]

  4. Apply the associative property to regroup the terms.

    [(−12)+(13+10)]=((−12)+13)+10[(-12) + (13 + 10)] = ((-12) + 13) + 10

  5. Perform the addition inside the first parenthesis.

    =1+10= 1 + 10

  6. Perform the final addition.

    =11= \boxed{11}
Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QUse the associative property to calculate the following: a) [(−6) + (4 + 2)] b) [3 + 7 + (−5)] c)…QUse the associative property to evaluate the following expressions: a) [(−6) + (4 + 2)] b) [3 + 7…QApply the associative property of addition to solve for the final value in the following problems…QSolve the following arithmetic expressions: a) −6 + (4 + 2) b) 3 + 7 + (−5) c) −2 + (6 + 4) d) −3…QEvaluate the following expressions: a) −4(2+1) b) −5(3+6) c) 4(−2+1) d) 5(−3+6) e) 4(2+−1) f)…
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp