Question

k5 learning
pemdas (3 terms)
order of operations worksheet
solve the following:
$11+3^{3}-7=$
$5^{2}-7×2=$
$2^{2}+8÷4=$
$9^{2}×3÷9=$
$6+6^{2}-12=$
$8×12^{2}+11=$
$8^{2}×2÷4=$
$7^{2}+12÷3=$
$3+9^{2}-5=$
$5+9×3^{3}=$
$6^{3}-4^{2}+8=$
$7+1^{3}-8=$

Explanation:

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Problem 1: $11 + 3^3 - 7$

Step1: Calculate the exponent

$3^3 = 27$

Step2: Add 11 and 27

$11 + 27 = 38$

Step3: Subtract 7 from 38

$38 - 7 = 31$

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Problem 2: $5^2 - 7 \times 2$

Step1: Calculate the exponent

$5^2 = 25$

Step2: Multiply 7 and 2

$7 \times 2 = 14$

Step3: Subtract 14 from 25

$25 - 14 = 11$

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Problem 3: $2^2 + 8 \div 4$

Step1: Calculate the exponent

$2^2 = 4$

Step2: Divide 8 by 4

$8 \div 4 = 2$

Step3: Add 4 and 2

$4 + 2 = 6$

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Problem 4: $9^2 \times 3 \div 9$

Step1: Calculate the exponent

$9^2 = 81$

Step2: Multiply 81 and 3

$81 \times 3 = 243$

Step3: Divide 243 by 9

$243 \div 9 = 27$

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Problem 5: $6 + 6^3 - 12$

Step1: Calculate the exponent

$6^3 = 216$

Step2: Add 6 and 216

$6 + 216 = 222$

Step3: Subtract 12 from 222

$222 - 12 = 210$

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Problem 6: $8 \times 12^2 + 11$

Step1: Calculate the exponent

$12^2 = 144$

Step2: Multiply 8 and 144

$8 \times 144 = 1152$

Step3: Add 1152 and 11

$1152 + 11 = 1163$

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Problem 7: $8^2 \times 2 \div 4$

Step1: Calculate the exponent

$8^2 = 64$

Step2: Multiply 64 and 2

$64 \times 2 = 128$

Step3: Divide 128 by 4

$128 \div 4 = 32$

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Problem 8: $7^2 + 12 \div 3$

Step1: Calculate the exponent

$7^2 = 49$

Step2: Divide 12 by 3

$12 \div 3 = 4$

Step3: Add 49 and 4

$49 + 4 = 53$

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Problem 9: $3 + 9^2 - 5$

Step1: Calculate the exponent

$9^2 = 81$

Step2: Add 3 and 81

$3 + 81 = 84$

Step3: Subtract 5 from 84

$84 - 5 = 79$

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Problem 10: $5 + 9 \times 3^3$

Step1: Calculate the exponent

$3^3 = 27$

Step2: Multiply 9 and 27

$9 \times 27 = 243$

Step3: Add 5 and 243

$5 + 243 = 248$

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Problem 11: $6^3 - 4^2 + 8$

Step1: Calculate both exponents

$6^3 = 216$, $4^2 = 16$

Step2: Subtract 16 from 216

$216 - 16 = 200$

Step3: Add 200 and 8

$200 + 8 = 208$

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Problem 12: $7 + 1^3 - 8$

Step1: Calculate the exponent

$1^3 = 1$

Step2: Add 7 and 1

$7 + 1 = 8$

Step3: Subtract 8 from 8

$8 - 8 = 0$

Answer:

$11 + 3^3 - 7 = 31$
$5^2 - 7 \times 2 = 11$
$2^2 + 8 \div 4 = 6$
$9^2 \times 3 \div 9 = 27$
$6 + 6^3 - 12 = 210$
$8 \times 12^2 + 11 = 1163$
$8^2 \times 2 \div 4 = 32$
$7^2 + 12 \div 3 = 53$
$3 + 9^2 - 5 = 79$
$5 + 9 \times 3^3 = 248$
$6^3 - 4^2 + 8 = 208$
$7 + 1^3 - 8 = 0$