Answered

Use the order of operations to solve these math problems. When inputting your answer, do not include spaces between the numbers or symbols. (Correct: -15 / Incorrect: - 15) Use a comma if needed. (Correct: 12,000 / Incorrect: 12000)

1. [tex]\((2 \times 13) + (4 \times 6) + (3 \times (4 + 2)) = \square\)[/tex]
2. [tex]\(8^2 + 760 - 200 = \square\)[/tex]
3. [tex]\(3 - 7 \times 12 + 16 \div 4 = \square\)[/tex]
4. [tex]\((-2,760 + (214 \times 2) + (156 \times 8)) + 4 = \square\)[/tex]
5. [tex]\(360 + 45 - 7 + 6^2 - 73 = \square\)[/tex]



Answer :

GinnyAnswer
Sure, I can provide a detailed, step-by-step solution to each problem following the order of operations.

Lets solve each step by step:

### Problem 1:
[tex]\[ (2 \times 13) + (4 \times 6) + (3 \times (4 + 2)) \][/tex]

1. Start with the operations inside the parentheses:
- [tex]\( 2 \times 13 = 26 \)[/tex]
- [tex]\( 4 \times 6 = 24 \)[/tex]
- [tex]\( 4 + 2 = 6 \)[/tex]
- [tex]\( 3 \times 6 = 18 \)[/tex]

2. Then perform the additions:
- [tex]\( 26 + 24 + 18 = 68 \)[/tex]

So, the answer is [tex]\( 68 \)[/tex].

### Problem 2:
[tex]\[ 8^2 + 760 - 200 \][/tex]

1. Start with the exponentiation:
- [tex]\( 8^2 = 64 \)[/tex]

2. Then perform the additions and subtractions:
- [tex]\( 64 + 760 = 824 \)[/tex]
- [tex]\( 824 - 200 = 624 \)[/tex]

So, the answer is [tex]\( 624 \)[/tex].

### Problem 3:
[tex]\[ 3 - 7 \times 12 + 16 \div 4 \][/tex]

1. Start with the multiplication and division:
- [tex]\( 7 \times 12 = 84 \)[/tex]
- [tex]\( 16 \div 4 = 4 \)[/tex]

2. Then perform the additions and subtractions:
- [tex]\( 3 - 84 = -81 \)[/tex]
- [tex]\( -81 + 4 = -77 \)[/tex]

So, the answer is [tex]\( -77 \)[/tex].

### Problem 4:
[tex]\[ (-2,760 + (214 \times 2) + (156 \times 8)) + 4 \][/tex]

1. Start with the multiplications inside the parentheses:
- [tex]\( 214 \times 2 = 428 \)[/tex]
- [tex]\( 156 \times 8 = 1,248 \)[/tex]

2. Then perform the additions and subtractions inside the parentheses:
- [tex]\( -2,760 + 428 = -2,332 \)[/tex]
- [tex]\( -2,332 + 1,248 = -1,084 \)[/tex]

3. Finally, add 4:
- [tex]\( -1,084 + 4 = -1,080 \)[/tex]

So, the answer is [tex]\( -1,080 \)[/tex].

### Problem 5:
[tex]\[ 360 + 45 - 7 + 6^2 - -73 \][/tex]

1. Start with the exponentiation:
- [tex]\( 6^2 = 36 \)[/tex]

2. Then perform the additions and subtractions:
- [tex]\( 360 + 45 = 405 \)[/tex]
- [tex]\( 405 - 7 = 398 \)[/tex]
- [tex]\( 398 + 36 = 434 \)[/tex]
- [tex]\( 434 - (-73) = 434 + 73 = 507 \)[/tex]

So, the answer is [tex]\( 507 \)[/tex].

Bringing all the answers together:

1. [tex]\( (2 \times 13) + (4 \times 6) + (3 \times (4 + 2)) = 68 \)[/tex]
2. [tex]\( 8^2 + 760 - 200 = 624 \)[/tex]
3. [tex]\( 3 - 7 \times 12 + 16 \div 4 = -77 \)[/tex]
4. [tex]\( (-2,760 + (214 \times 2) + (156 \times 8)) + 4 = -1,080 \)[/tex]
5. [tex]\( 360 + 45 - 7 + 6^2 - -73 = 507 \)[/tex]

So, the final answers in sequence are:
68, 624, -77, -1080, 507

Other Questions