Order of Operations

Problem 301

19. The 2,148 guests at a hotel have the choice to either go on a boat tour or go scuba diving. 134 people decided to go scuba diving. 523 people decided to neither scuba dive nor go on a boat tour. Each boat holds 78 people. How many boats are needed? Explain your reasoning. 5.AR.1.1

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Problem 302

Solve the following calculations and sort them into the correct groups. $8 \times((17+4) \div(18-11)) \quad 9 \times((60-10) \div 5)-68$
Less than 24 24 More than 24

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Problem 303

le miexerce Pour faire une robe, Lina emploie 5 m d'etoffe a 1556 le mètre. Elle compte 150 G pour les fournitures et 500 G de travail. Quel est le prix de revient de la robe?

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Problem 304

Calculate. $\left(7 \times 10^{5}\right)+\left(2 \times 10^{5}\right)$
Write your answer in scientific notation.

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Problem 305

Evaluate $13+\frac{6}{y}$ when $y=6$

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Problem 306

Evaluate $4 + 2 \times [(29 - 15) \div 2]$ . Find values inside parentheses, brackets, and the entire expression.

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Problem 307

Calculate $13,000 \div 10^{2}$ .

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Problem 308

Calculate the expression: $(4+3) \times 10 \div 2 + (5 \times 6)$ .

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Problem 309

Calculate $4(15 \div 3)+(6 \times 3)-2^{2}$ and show your work.

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Problem 310

Calculate the expression: $(10-7)+(2 \times 14 \div 4)$ .

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Problem 311

Calculate the expression: $3^{2} + (2 + 12 \times 2) - 16 \div 4$ .

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Problem 312

$6 of 15 Next (x Maurice had$ 23.72 in his checking account, then a debit of $48.39 and another debit of$ 82.16 were processed for automatic payments. The bank also assessed a $12 for each of these two automatic payments since Maurice had insufficient funds in his checking account. Next, Maurice deposited$ 238 into his checking account. What is the current balance for Maurice's checking account? Basic 0 7 4 5 8 00 1 2 3 X 9 9 = + -- < X X • y * X X % ° = > +1 8 三 ντ X 69 口

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Problem 313

Question Show Examples
Answer the questions below about Line 1 and Line 2 shown below. $\begin{array}{l} (6+7)+3 \\ 6+(7+3) \end{array}$ Line 1 Line 2
Answer Attempt 1 out of 2
The expression was rewritten using the $(6+7)+3$ equals $\square$ +3 which equals $\square$ 7. $6+(7+3)$ equals $6+$ $\qquad$ which equals $\square$ .

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Problem 314

Which operations are defined for any two real numbers? addition subtraction multiplication division

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Problem 315

Mad the product. Match the letter next to each answer to the corresponding space below to answer the following ridile.
How is the snow globe feeling?
1. $\begin{array}{r}87 \\ \times \quad 56 \\ \hline\end{array}$ 3.
E $\qquad$ $\begin{array}{r} 48 \\ \times \quad 66 \\ \hline \end{array}$ 4.
1 $\qquad$ $\times 65$
5. $\begin{array}{r}45 \\ \times \quad 33 \\ \hline\end{array}$
6. $\begin{array}{r}18 \\ \times \quad 73 \\ \hline\end{array}$ 7.
T $\qquad$ $\begin{array}{r} 35 \\ \times \quad 84 \\ \hline \end{array}$
T 8. $\begin{array}{r} 62 \\ \times \quad 38 \\ \hline \end{array}$ 9. $\begin{array}{r} 64 \\ \times \quad 47 \\ \hline \end{array}$ 10. $\begin{array}{r} \\ K \\ \hline 87 \\ \times \quad 54 \\ \hline \end{array}$ 11. $\begin{array}{r} N \\ \hline 42 \\ \times \quad 17 \\ \hline \end{array}$
E $\qquad$ H $\qquad$ A

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Problem 316

3 Once a year for the past 5 years, Carmelita and her parents drive from their home in San Diego to visit Carmelita's grandparents in Mexicali, Mexico. The driving distance for each trip to Mexicali and back is 247 miles. What is the total distance Carmelita's family drove for the 5 trips? (4) 235 miles (B) 935 miles (C) 1,125 miles (D) 1,235 miles
James chose (A) as the correct answer. How did he get that answer?

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Problem 317

5. $8+6-2 \times 2-3^{2}$

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Problem 318

$16 - 2 \cdot 2 \cdot 2 \div 2$

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Problem 319

Calculate the expression: $4 + 8\left(\frac{1}{4} + 2\right)$ .

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Problem 320

Simplify: $3 \cdot 3^{2}+8 \div 2-(4+3)$ . Choices: A. 23 B. 24 C. 30 D. 32

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Problem 321

Order of Operations: Exercise 2 Grace
Date: $\qquad$ Girace Answer these questions in your notebook. Set up each question properly and show all work clearly.
1. $\left.8^{2}-3^{3}+4 \times 7-(6-(-2) \times(-4) \div 8 \times 31-1) \div 8-30 \div(-6)\right)-2^{5}$
2. $(-1)^{84} \div 5 \times 5+694 \div(7-16 \div 2)^{694}+(-3 \times(-8)-24) \times 13 \div 89+6-19$
3. $77 \times 8 \div 77 \times[16+(7 \times 2 \div 7 \times 2)-16+4]$
4. $98-(-77) \div(-7)+8-(6-3 \times 4)+(6+(-2)-(-5)+3-2)(8-(-6) \times 3)$
5. $(5-9+3)(-15 \div 8 \times 2 \div 3 \times 4+4)(1 \div 8 \times(-8))(6 \times 5-5)(3 \div 9 \times 9-(-2))(-4)$
6. $2369 \times 125 \div 23 \times(-4) \div(-1) \times 2-(25 \times 91 \times(-4) \div(-7) \times(-3)+(-12))$
7. $1 \div 22 \div 11 \times 121 \times(-6)-2(36 \div(-33) \times(-11) \div 4) \div(7-(-2)(-5))-(-7)-5$
8. $-60 \times 85 \div 3 \div(-85) \times 1443 \div 481 \times\left(2^{5}-4 \times 4\right)-(1-6)+5-7$
9. $5 \times 4 \times 3 \times 2 \times 1-0 \div 16 \times 27+(-17-3 \div 12 \times(-2) \div(-1) \times(-2)+5) \times(-7-(-5))$ $-3(8-19+2)-(-2-1)$
10. $3(9+6-9+6)-(-8) \div(-5) \times(-7 \times(-6)-(-6) \times(-4)+7)-(-1136)-1139$
11. $-9-(-12-16) \times 42 \div(-8) \div(-7)-(8-10)(-3+3) \div 97 \times 563-(-13)+2 \times 4$
12. $1 \div(-5) \times 3 \times 10-4(12-(-6) \times(-2)) \div 7 \times(-3)+3 \div 9 \times(9-3 \times 2)$
13. $-8 \times 37 \times(-5) \times 25-5 \times 17 \times(-5) \times 4 \times 3 \times 5 \times(-2)-(-12) \div 3-(-1)$
14. $(-2-7 \times 5)(5-3 \times 2)+(-5+3 \times(-2)) \times(-16) \div(-2)+(2-7)(-6+(-5) \div(-5))$ $+(3 \times(-5)-2 \times 2)(-24 \div 28 \times(-14) \div 6)-(-3) \times(-2)$
15. $(-3)^{3}-(-2)^{2} \div 7 \times(-3) \times 14 \div(-2)-(-3) \times\left(-2-3^{2} \times(-2)-6\right)^{76} \times(-1)^{181} \times(-2)^{3}$

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Problem 322

Find the value of $2 \times(7-(5-2))$

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Problem 323

Work out $4+6 \times 5+9$

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Problem 324

Calculate 17 - $(5+2 \times 3)$

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Problem 325

Calculate the value of $4 + 8 \cdot 4$ . What is the result?

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Problem 326

Evaluate: $-8 + 2 \cdot 5^{2} - 7 =$

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Problem 327

Evaluate: $(20 \div 5)^{3}+9^{2} \div 27$

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Problem 328

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

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Problem 329

Calculate: $(15 \div 5)+3(9-7)^{2}=$

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Problem 330

Evaluate: $-3 + 2[-2 + (45 \div 3^{2})]$

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Problem 331

Calculate: $(4 \div 2) + 4(8-2)^{2}$ . What is the result?

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Problem 332

Evaluate: $7 - 5(9 + 8) =$

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Problem 333

$\begin{array}{r}72 \\ \times \quad 45 \\ \hline\end{array}$

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Problem 334

Calculate the value of the expression: $-\frac{5}{12} + \frac{3}{6} \cdot \frac{2}{3} \div \frac{4}{12} + \frac{2}{3}$ .

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Problem 335

Calculate the value of $(-3) \cdot(-1)-21 \div(-3)$ using order of operations.

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Problem 336

Simplify the expression using order of operations: $4.8 \div 1.2 - 2.4^{2}$ .

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Problem 337

Evaluate: $1 \cdot 5 + 24 \div 2$

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Problem 338

Calculate the expression $(-5+1) \cdot(-1)$ using order of operations.

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Problem 339

Calculate the value of $7 - [-1 - (-3 \cdot (-3) + (-6))] \div 4$ .

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Problem 340

Calculate the expression using order of operations: $9+[8+(2 \cdot 2+3)] \div 5$ .

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Problem 341

Calculate the expression using order of operations: $4^{2}-18 \div 3^{2} \times 4-24$ .

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1 2 3 4

Order of Operations

Problem 301

19. The 2,148 guests at a hotel have the choice to either go on a boat tour or go scuba diving. 134 people decided to go scuba diving. 523 people decided to neither scuba dive nor go on a boat tour. Each boat holds 78 people. How many boats are needed? Explain your reasoning. 5.AR.1.1

Problem 302

Solve the following calculations and sort them into the correct groups. 8×((17+4)÷(18−11))9×((60−10)÷5)−688 \times((17+4) \div(18-11)) \quad 9 \times((60-10) \div 5)-688×((17+4)÷(18−11))9×((60−10)÷5)−68Less than 24 24 More than 24

Problem 303

le miexerce Pour faire une robe, Lina emploie 5 m d'etoffe a 1556 le mètre. Elle compte 150 G pour les fournitures et 500 G de travail. Quel est le prix de revient de la robe?

Problem 304

Calculate. (7×105)+(2×105)\left(7 \times 10^{5}\right)+\left(2 \times 10^{5}\right)(7×105)+(2×105)Write your answer in scientific notation.

Problem 305

Evaluate 13+6y13+\frac{6}{y}13+y6​ when y=6y=6y=6

Problem 306

Evaluate 4+2×[(29−15)÷2]4 + 2 \times [(29 - 15) \div 2]4+2×[(29−15)÷2]. Find values inside parentheses, brackets, and the entire expression.

Problem 307

Calculate 13,000÷10213,000 \div 10^{2}13,000÷102.

Problem 308

Calculate the expression: (4+3)×10÷2+(5×6)(4+3) \times 10 \div 2 + (5 \times 6)(4+3)×10÷2+(5×6).

Problem 309

Calculate 4(15÷3)+(6×3)−224(15 \div 3)+(6 \times 3)-2^{2}4(15÷3)+(6×3)−22 and show your work.

Problem 310

Calculate the expression: (10−7)+(2×14÷4)(10-7)+(2 \times 14 \div 4)(10−7)+(2×14÷4).

Problem 311

Calculate the expression: 32+(2+12×2)−16÷43^{2} + (2 + 12 \times 2) - 16 \div 432+(2+12×2)−16÷4.

Problem 312

Problem 313

Problem 314

Which operations are defined for any two real numbers? addition subtraction multiplication division

Problem 315

Problem 316

Problem 317

5. 8+6−2×2−328+6-2 \times 2-3^{2}8+6−2×2−32

Problem 318

16−2⋅2⋅2÷2 16 - 2 \cdot 2 \cdot 2 \div 2 16−2⋅2⋅2÷2

Problem 319

Calculate the expression: 4+8(14+2)4 + 8\left(\frac{1}{4} + 2\right)4+8(41​+2).

Problem 320

Simplify: 3⋅32+8÷2−(4+3)3 \cdot 3^{2}+8 \div 2-(4+3)3⋅32+8÷2−(4+3). Choices: A. 23 B. 24 C. 30 D. 32

Problem 321

Problem 322

Find the value of 2×(7−(5−2))2 \times(7-(5-2))2×(7−(5−2))

Problem 323

Work out 4+6×5+94+6 \times 5+94+6×5+9

Problem 324

Calculate 17 - (5+2×3)(5+2 \times 3)(5+2×3)

Problem 325

Calculate the value of 4+8⋅44 + 8 \cdot 44+8⋅4. What is the result?

Problem 326

Evaluate: −8+2⋅52−7=-8 + 2 \cdot 5^{2} - 7 = −8+2⋅52−7=

Problem 327

Evaluate: (20÷5)3+92÷27(20 \div 5)^{3}+9^{2} \div 27(20÷5)3+92÷27

Problem 328

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

Problem 329

Calculate: (15÷5)+3(9−7)2=(15 \div 5)+3(9-7)^{2}=(15÷5)+3(9−7)2=

Problem 330

Evaluate: −3+2[−2+(45÷32)]-3 + 2[-2 + (45 \div 3^{2})]−3+2[−2+(45÷32)]

Problem 331

Calculate: (4÷2)+4(8−2)2(4 \div 2) + 4(8-2)^{2}(4÷2)+4(8−2)2. What is the result?

Problem 332

Evaluate: 7−5(9+8)=7 - 5(9 + 8) = 7−5(9+8)=

Problem 333

72×45\begin{array}{r}72 \\ \times \quad 45 \\ \hline\end{array}72×45​​

Problem 334

Calculate the value of the expression: −512+36⋅23÷412+23-\frac{5}{12} + \frac{3}{6} \cdot \frac{2}{3} \div \frac{4}{12} + \frac{2}{3}−125​+63​⋅32​÷124​+32​.

Problem 335

Calculate the value of (−3)⋅(−1)−21÷(−3)(-3) \cdot(-1)-21 \div(-3)(−3)⋅(−1)−21÷(−3) using order of operations.

Problem 336

Simplify the expression using order of operations: 4.8÷1.2−2.424.8 \div 1.2 - 2.4^{2}4.8÷1.2−2.42.

Problem 337

Evaluate: 1⋅5+24÷21 \cdot 5 + 24 \div 21⋅5+24÷2

Problem 338

Calculate the expression (−5+1)⋅(−1)(-5+1) \cdot(-1)(−5+1)⋅(−1) using order of operations.

Problem 339

Calculate the value of 7−[−1−(−3⋅(−3)+(−6))]÷47 - [-1 - (-3 \cdot (-3) + (-6))] \div 47−[−1−(−3⋅(−3)+(−6))]÷4.

Problem 340

Calculate the expression using order of operations: 9+[8+(2⋅2+3)]÷59+[8+(2 \cdot 2+3)] \div 59+[8+(2⋅2+3)]÷5.

Problem 341

Calculate the expression using order of operations: 42−18÷32×4−244^{2}-18 \div 3^{2} \times 4-2442−18÷32×4−24.

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Solve the following calculations and sort them into the correct groups. $8 \times((17+4) \div(18-11)) \quad 9 \times((60-10) \div 5)-68$
Less than 24 24 More than 24

Calculate. $\left(7 \times 10^{5}\right)+\left(2 \times 10^{5}\right)$
Write your answer in scientific notation.

Evaluate $13+\frac{6}{y}$ when $y=6$

Evaluate $4 + 2 \times [(29 - 15) \div 2]$ . Find values inside parentheses, brackets, and the entire expression.

Calculate $13,000 \div 10^{2}$ .

Calculate the expression: $(4+3) \times 10 \div 2 + (5 \times 6)$ .

Calculate $4(15 \div 3)+(6 \times 3)-2^{2}$ and show your work.

Calculate the expression: $(10-7)+(2 \times 14 \div 4)$ .

Calculate the expression: $3^{2} + (2 + 12 \times 2) - 16 \div 4$ .

5. $8+6-2 \times 2-3^{2}$

$16 - 2 \cdot 2 \cdot 2 \div 2$

Calculate the expression: $4 + 8\left(\frac{1}{4} + 2\right)$ .

Simplify: $3 \cdot 3^{2}+8 \div 2-(4+3)$ . Choices: A. 23 B. 24 C. 30 D. 32

Find the value of $2 \times(7-(5-2))$

Work out $4+6 \times 5+9$

Calculate 17 - $(5+2 \times 3)$

Calculate the value of $4 + 8 \cdot 4$ . What is the result?

Evaluate: $-8 + 2 \cdot 5^{2} - 7 =$

Evaluate: $(20 \div 5)^{3}+9^{2} \div 27$

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

Calculate: $(15 \div 5)+3(9-7)^{2}=$

Evaluate: $-3 + 2[-2 + (45 \div 3^{2})]$

Calculate: $(4 \div 2) + 4(8-2)^{2}$ . What is the result?

Evaluate: $7 - 5(9 + 8) =$

$\begin{array}{r}72 \\ \times \quad 45 \\ \hline\end{array}$

Calculate the value of the expression: $-\frac{5}{12} + \frac{3}{6} \cdot \frac{2}{3} \div \frac{4}{12} + \frac{2}{3}$ .

Calculate the value of $(-3) \cdot(-1)-21 \div(-3)$ using order of operations.

Simplify the expression using order of operations: $4.8 \div 1.2 - 2.4^{2}$ .

Evaluate: $1 \cdot 5 + 24 \div 2$

Calculate the expression $(-5+1) \cdot(-1)$ using order of operations.

Calculate the value of $7 - [-1 - (-3 \cdot (-3) + (-6))] \div 4$ .

Calculate the expression using order of operations: $9+[8+(2 \cdot 2+3)] \div 5$ .

Calculate the expression using order of operations: $4^{2}-18 \div 3^{2} \times 4-24$ .