QuestionEvaluate: $-3+2\left[-1+\left(18 \div 3^{2}\right)\right]$

Studdy Solution

STEP 1

Assumptions1. We follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to solve the operation inside the innermost parentheses, which is the exponentiation.
$^{2} =9$ So, the expression becomes $-+2\left[-1+\left(18 \div9\right)\right]$

STEP 3

Next, we perform the division inside the parentheses.
$18 \div9 =2$ So, the expression becomes $-3+2\left[-1+2\right]$

STEP 4

Now, we perform the addition inside the parentheses.
$-1+2 =1$ So, the expression becomes $-3+2[1]$

STEP 5

Next, we perform the multiplication.
$2[1] =2$ So, the expression becomes $-3+2$

STEP 6

Finally, we perform the addition.
$-3+2 = -1$ So, the solution to the problem is -1.

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QuestionEvaluate: $-3+2\left[-1+\left(18 \div 3^{2}\right)\right]$

Studdy Solution

STEP 1

Assumptions1. We follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to solve the operation inside the innermost parentheses, which is the exponentiation.
$^{2} =9$ So, the expression becomes $-+2\left[-1+\left(18 \div9\right)\right]$

STEP 3

Next, we perform the division inside the parentheses.
$18 \div9 =2$ So, the expression becomes $-3+2\left[-1+2\right]$

STEP 4

Now, we perform the addition inside the parentheses.
$-1+2 =1$ So, the expression becomes $-3+2[1]$

STEP 5

Next, we perform the multiplication.
$2[1] =2$ So, the expression becomes $-3+2$

STEP 6

Finally, we perform the addition.
$-3+2 = -1$ So, the solution to the problem is -1.

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QuestionEvaluate: −3+2[−1+(18÷32)]-3+2\left[-1+\left(18 \div 3^{2}\right)\right]−3+2[−1+(18÷32)]

Studdy Solution

STEP 1

Assumptions1. We follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to solve the operation inside the innermost parentheses, which is the exponentiation.2=9^{2} =92=9So, the expression becomes−+2[−1+(18÷9)]-+2\left[-1+\left(18 \div9\right)\right]−+2[−1+(18÷9)]

STEP 3

Next, we perform the division inside the parentheses.18÷9=218 \div9 =218÷9=2So, the expression becomes−3+2[−1+2]-3+2\left[-1+2\right]−3+2[−1+2]

STEP 4

Now, we perform the addition inside the parentheses.−1+2=1-1+2 =1−1+2=1So, the expression becomes−3+2[1]-3+2[1]−3+2[1]

STEP 5

Next, we perform the multiplication.2[1]=22[1] =22[1]=2So, the expression becomes−3+2-3+2−3+2

STEP 6

Finally, we perform the addition.−3+2=−1-3+2 = -1−3+2=−1So, the solution to the problem is -1.

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QuestionEvaluate: $-3+2\left[-1+\left(18 \div 3^{2}\right)\right]$

First, we need to solve the operation inside the innermost parentheses, which is the exponentiation.
$^{2} =9$ So, the expression becomes $-+2\left[-1+\left(18 \div9\right)\right]$

Next, we perform the division inside the parentheses.
$18 \div9 =2$ So, the expression becomes $-3+2\left[-1+2\right]$

Now, we perform the addition inside the parentheses.
$-1+2 =1$ So, the expression becomes $-3+2[1]$

Next, we perform the multiplication.
$2[1] =2$ So, the expression becomes $-3+2$

Finally, we perform the addition.
$-3+2 = -1$ So, the solution to the problem is -1.