Question Simplify the expression $6^{2} \div 2 \times 5 \div 9$ using the order of operations.

Studdy Solution

STEP 1

Assumptions
1. We will 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 PEMDAS.
2. We will simplify the expression step by step, following the order of operations.

STEP 2

First, we need to address the exponentiation part of the expression.
$6^{2} = 6 \times 6$

STEP 3

Calculate the result of the exponentiation.
$6^{2} = 36$

STEP 4

Replace the exponentiation in the original expression with its calculated value.
$36 \div 2 \times 5 \div 9$

STEP 5

Next, we perform the division and multiplication from left to right. Start with the first division.
$36 \div 2 = 18$

STEP 6

Replace the first division in the expression with its result.
$18 \times 5 \div 9$

STEP 7

Now, perform the multiplication.
$18 \times 5 = 90$

STEP 8

Replace the multiplication in the expression with its result.
$90 \div 9$

STEP 9

Finally, perform the last division.
$90 \div 9 = 10$

STEP 10

Replace the last division in the expression with its result.
$10$
The simplified expression is 10.

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Question Simplify the expression $6^{2} \div 2 \times 5 \div 9$ using the order of operations.

Studdy Solution

STEP 1

STEP 2

First, we need to address the exponentiation part of the expression.
$6^{2} = 6 \times 6$

STEP 3

Calculate the result of the exponentiation.
$6^{2} = 36$

STEP 4

Replace the exponentiation in the original expression with its calculated value.
$36 \div 2 \times 5 \div 9$

STEP 5

Next, we perform the division and multiplication from left to right. Start with the first division.
$36 \div 2 = 18$

STEP 6

Replace the first division in the expression with its result.
$18 \times 5 \div 9$

STEP 7

Now, perform the multiplication.
$18 \times 5 = 90$

STEP 8

Replace the multiplication in the expression with its result.
$90 \div 9$

STEP 9

Finally, perform the last division.
$90 \div 9 = 10$

STEP 10

Replace the last division in the expression with its result.
$10$
The simplified expression is 10.

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Question Simplify the expression 62÷2×5÷96^{2} \div 2 \times 5 \div 962÷2×5÷9 using the order of operations.

Studdy Solution

STEP 1

STEP 2

First, we need to address the exponentiation part of the expression.62=6×66^{2} = 6 \times 662=6×6

STEP 3

Calculate the result of the exponentiation.62=366^{2} = 3662=36

STEP 4

Replace the exponentiation in the original expression with its calculated value.36÷2×5÷936 \div 2 \times 5 \div 936÷2×5÷9

STEP 5

Next, we perform the division and multiplication from left to right. Start with the first division.36÷2=1836 \div 2 = 1836÷2=18

STEP 6

Replace the first division in the expression with its result.18×5÷918 \times 5 \div 918×5÷9

STEP 7

Now, perform the multiplication.18×5=9018 \times 5 = 9018×5=90

STEP 8

Replace the multiplication in the expression with its result.90÷990 \div 990÷9

STEP 9

Finally, perform the last division.90÷9=1090 \div 9 = 1090÷9=10

STEP 10

Replace the last division in the expression with its result.101010The simplified expression is 10.

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Question Simplify the expression $6^{2} \div 2 \times 5 \div 9$ using the order of operations.

First, we need to address the exponentiation part of the expression.
$6^{2} = 6 \times 6$

Calculate the result of the exponentiation.
$6^{2} = 36$

Replace the exponentiation in the original expression with its calculated value.
$36 \div 2 \times 5 \div 9$

Next, we perform the division and multiplication from left to right. Start with the first division.
$36 \div 2 = 18$

Replace the first division in the expression with its result.
$18 \times 5 \div 9$

Now, perform the multiplication.
$18 \times 5 = 90$

Replace the multiplication in the expression with its result.
$90 \div 9$

Finally, perform the last division.
$90 \div 9 = 10$

Replace the last division in the expression with its result.
$10$
The simplified expression is 10.