QuestionEvaluate $26 + 9(17 - 3^{2}) \div 4$

Studdy Solution

STEP 1

Assumptions1. We are given the expression $26+9\left(17-3^{}\right) \div4$ . . We need to follow the order of operations, also known as BIDMAS or PEMAS, which stands for Brackets, Indices (or Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

STEP 2

First, we need to solve the operation inside the brackets.
$26+9\left(17-^{2}\right) \div4$

STEP 3

Calculate the value of $3^{2}$ .
$3^{2} =9$

STEP 4

Substitute $3^{2}$ with9 in the expression.
$26+9\left(17-9\right) \div4$

STEP 5

Now, subtract9 from17 inside the brackets.
$17-9 =8$

STEP 6

Substitute $17-9$ with8 in the expression.
$26+9\left(8\right) \div4$

STEP 7

Next, we need to perform the multiplication operation.
$9 \times =72$

STEP 8

Substitute $\times8$ with72 in the expression.
$26+72 \div4$

STEP 9

Now, perform the division operation.
$72 \div4 =18$

STEP 10

Substitute $72 \div4$ with18 in the expression.
$26+18$

STEP 11

Finally, perform the addition operation.
$26+18 =44$ So, the value of the expression $26+9\left(17-3^{}\right) \div4$ is44.

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QuestionEvaluate $26 + 9(17 - 3^{2}) \div 4$

Studdy Solution

STEP 1

Assumptions1. We are given the expression $26+9\left(17-3^{}\right) \div4$ . . We need to follow the order of operations, also known as BIDMAS or PEMAS, which stands for Brackets, Indices (or Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

STEP 2

First, we need to solve the operation inside the brackets.
$26+9\left(17-^{2}\right) \div4$

STEP 3

Calculate the value of $3^{2}$ .
$3^{2} =9$

STEP 4

Substitute $3^{2}$ with9 in the expression.
$26+9\left(17-9\right) \div4$

STEP 5

Now, subtract9 from17 inside the brackets.
$17-9 =8$

STEP 6

Substitute $17-9$ with8 in the expression.
$26+9\left(8\right) \div4$

STEP 7

Next, we need to perform the multiplication operation.
$9 \times =72$

STEP 8

Substitute $\times8$ with72 in the expression.
$26+72 \div4$

STEP 9

Now, perform the division operation.
$72 \div4 =18$

STEP 10

Substitute $72 \div4$ with18 in the expression.
$26+18$

STEP 11

Finally, perform the addition operation.
$26+18 =44$ So, the value of the expression $26+9\left(17-3^{}\right) \div4$ is44.

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QuestionEvaluate 26+9(17−32)÷426 + 9(17 - 3^{2}) \div 426+9(17−32)÷4

Studdy Solution

STEP 1

STEP 2

First, we need to solve the operation inside the brackets.26+9(17−2)÷426+9\left(17-^{2}\right) \div426+9(17−2)÷4

STEP 3

Calculate the value of 323^{2}32.32=93^{2} =932=9

STEP 4

Substitute 323^{2}32 with9 in the expression.26+9(17−9)÷426+9\left(17-9\right) \div426+9(17−9)÷4

STEP 5

Now, subtract9 from17 inside the brackets.17−9=817-9 =817−9=8

STEP 6

Substitute 17−917-917−9 with8 in the expression.26+9(8)÷426+9\left(8\right) \div426+9(8)÷4

STEP 7

Next, we need to perform the multiplication operation.9×=729 \times =729×=72

STEP 8

Substitute ×8 \times8×8 with72 in the expression.26+72÷426+72 \div426+72÷4

STEP 9

Now, perform the division operation.72÷4=1872 \div4 =1872÷4=18

STEP 10

Substitute 72÷472 \div472÷4 with18 in the expression.26+1826+1826+18

STEP 11

Finally, perform the addition operation.26+18=4426+18 =4426+18=44So, the value of the expression 26+9(17−3)÷426+9\left(17-3^{}\right) \div426+9(17−3)÷4 is44.

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QuestionEvaluate $26 + 9(17 - 3^{2}) \div 4$

First, we need to solve the operation inside the brackets.
$26+9\left(17-^{2}\right) \div4$

Calculate the value of $3^{2}$ .
$3^{2} =9$

Substitute $3^{2}$ with9 in the expression.
$26+9\left(17-9\right) \div4$

Now, subtract9 from17 inside the brackets.
$17-9 =8$

Substitute $17-9$ with8 in the expression.
$26+9\left(8\right) \div4$

Next, we need to perform the multiplication operation.
$9 \times =72$

Substitute $\times8$ with72 in the expression.
$26+72 \div4$

Now, perform the division operation.
$72 \div4 =18$

Substitute $72 \div4$ with18 in the expression.
$26+18$

Finally, perform the addition operation.
$26+18 =44$ So, the value of the expression $26+9\left(17-3^{}\right) \div4$ is44.