Evaluate the following expression. 6÷3+9^(2)-4=

Identify order of operations: Identify the order of operations for the expression 6÷3+9^(2)-4. According to the order of operations (PEMDAS/BODMAS), we first evaluate any expressions inside parentheses, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right. In the given expression, there are no parentheses, but there is an exponent (9^(2)), so we will calculate that first.Calculate exponent: Calculate the exponent 9^(2). 9^(2) means 9 is multiplied by itself. 9^(2) = 9 * 9 = 81 Now the expression becomes 6÷3+81-4.Perform division: Perform the division 6÷3. Now we perform the division before addition and subtraction. 6÷3 = 2 Now the expression becomes 2+81-4.Perform addition and subtraction: Perform the addition and subtraction from left to right. Now we add 2 and 81, then subtract 4. 2+81-4 = 83-4 = 79

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Evaluate the following expression.

6÷3+9^(2)-4=

Evaluate the following expression. $\newline$ $6 \div 3+9^{2}-4=$

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Grade 8

Understanding exponents

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Q. Evaluate the following expression.

\newline

6 \div 3+9^{2}-4=

Identify order of operations: Identify the order of operations for the expression $6 \div 3 + 9^{2} - 4$ . $\newline$ According to the order of operations (PEMDAS/BODMAS), we first evaluate any expressions inside parentheses, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right. $\newline$ In the given expression, there are no parentheses, but there is an exponent ( $9^{2}$ ), so we will calculate that first.
Calculate exponent: Calculate the exponent $9^{2}$ . $\newline$ $9^{2}$ means $9$ is multiplied by itself. $\newline$ $9^{2} = 9 \times 9$ $\newline$ $= 81$ $\newline$ Now the expression becomes $6\div3+81-4$ .
Perform division: Perform the division $6 \div 3$ . $\newline$ Now we perform the division before addition and subtraction. $\newline$ $6 \div 3 = 2$ $\newline$ Now the expression becomes $2+81-4$ .
Perform addition and subtraction: Perform the addition and subtraction from left to right. $\newline$ Now we add $2$ and $81$ , then subtract $4$ . $\newline$ $2+81-4 = 83-4$ $\newline$ $= 79$