1.
9 x 7 + 3 =
Explanation
The given expression involves multiplication and addition. According to the order of operations (PEMDAS/BODMAS), multiplication should be performed before addition. Therefore, we first multiply 9 and 7, which equals 63. Then we add 3 to the result, giving us a final answer of 66.
2.
9 + 4 x 3 =
Explanation
The given expression follows the order of operations, which states that multiplication should be done before addition. Therefore, we first multiply 4 by 3, resulting in 12. Then, we add 9 to 12, giving us a final answer of 21.
3.
9 x (7 + 3) =
Explanation
The given expression involves multiplication and addition. According to the order of operations (PEMDAS/BODMAS), we need to perform the addition inside the parentheses first. 7 + 3 equals 10. Then, we multiply 9 by 10, resulting in 90. Therefore, the correct answer is 90.
4.
3 + 5 x 6 =
Explanation
The given equation follows the order of operations, which states that multiplication should be done before addition. Therefore, we first multiply 5 and 6, resulting in 30. Then, we add 3 to 30, giving us the final answer of 33.
5.
30 - 20 ÷ 2 =
Explanation
The given expression involves subtraction and division. According to the order of operations, division should be performed before subtraction. Therefore, we divide 20 by 2, which equals 10. Then, we subtract 10 from 30, resulting in 20.
6.
1.2 + 1.4 x 5 =
Explanation
The given expression involves addition and multiplication. According to the order of operations (PEMDAS/BODMAS), multiplication should be performed before addition. So, we first multiply 1.4 by 5, which gives us 7. Then, we add 1.2 to the result of the multiplication, which gives us 8.2. Therefore, the correct answer is 8.2.
7.
8.4 + 1.6 ÷ 2 =
Explanation
The given expression involves addition and division. According to the order of operations, division should be performed before addition. So, we divide 1.6 by 2, which gives us 0.8. Then, we add 8.4 to 0.8, resulting in 9.2. Therefore, the answer is 9.2.
8.
30 ÷ (1.2 + 1.3) =
Explanation
The given expression is a division problem. To solve it, we first need to evaluate the sum of 1.2 and 1.3, which is 2.5. Then, we divide 30 by 2.5, which equals 12. Therefore, the answer is 12.
9.
5 + 1.2 x 10 - 1.4 x 5 =
Explanation
The given expression involves addition, multiplication, and subtraction. To solve it, we first multiply 1.2 by 10 to get 12. Then we multiply 1.4 by 5 to get 7. Finally, we add 5 and 12, and subtract 7 from the sum. This gives us a final result of 10.
10.
3 + 2^{2} =
Explanation
The given equation is 3 + 22 = 7. However, this is incorrect as the sum of 3 and 22 is actually 25. Therefore, the answer 7 is incorrect and the correct answer should be 25.
11.
3 x 3^{2} + 4
12.
80 - 3 x 5^{2} =
Explanation
The given expression is 80 - 3 x 52. To solve this expression, we need to perform the multiplication first. 3 x 52 equals 156. Then, we subtract 156 from 80, which gives us -76. Therefore, the answer is -76.
13.
25 - 2^{2} x 2 =
Explanation
The given equation is 25 - 22 x 2. To solve this, we need to perform the multiplication first. 22 x 2 equals 44. Then, we subtract 44 from 25, resulting in 17. Therefore, the answer is 17.
14.
(4 + 2^{3}) x 8 =
Explanation
The given expression is (4 + 23) x 8. To solve this, we first add 4 and 23, which gives us 27. Then, we multiply 27 by 8, which equals 216. Therefore, the correct answer is 216, not 96.
15.
(2 + 5) x 3^{2} =
Explanation
The given expression (2 + 5) x 32 simplifies to 7 x 32. Multiplying 7 by 32 gives us the answer of 224. However, the given answer is 63, which is incorrect. It seems that there may be an error in the question or in the provided answer.
16.
30 - 12 + 5 =
Explanation
The given expression involves addition and subtraction. Following the order of operations, we first subtract 12 from 30, which gives us 18. Then, we add 5 to 18, resulting in 23.
17.
10^{2} - 4 x 10 =
Explanation
The given expression is 102 - 4 x 10. To solve this expression, we need to perform the multiplication first. 4 x 10 equals 40. Then, we subtract 40 from 102, which gives us the answer of 62.
18.
10 + 5^{2} ÷ 2 =
Explanation
The given expression is a combination of addition and division. According to the order of operations, division should be performed before addition. Therefore, we divide 52 by 2, which equals 26. Then, we add 10 to 26, resulting in 36. Therefore, the correct answer is 36, not 22.5.
19.
3^{2} x 2^{3 }+ 4 x 2 =
Explanation
The given expression involves multiplication and addition. According to the order of operations, we should perform the multiplication before the addition. Therefore, we first multiply 32 by 23, which equals 736. Then, we multiply 4 by 2, which equals 8. Finally, we add 736 and 8, resulting in 744. However, the given answer is 80, which is incorrect.
20.
(2 + 5^{2}) + 4 x 2 =
Explanation
The given expression involves addition and multiplication. According to the order of operations (PEMDAS/BODMAS), we should perform the multiplication first. Therefore, 4 multiplied by 2 equals 8. Then, we add the result to the sum of 2 and 52, which is 54. Therefore, the final answer is 54 + 8 = 62. However, the given answer is 35, which contradicts the correct calculation.
21.
3 x 4 + 7 =
Explanation
The given expression is 3 multiplied by 4, which equals 12, and then 7 is added to it. Therefore, the answer is 19.
22.
8 + 2 x 4 =
Explanation
The given expression follows the order of operations, which states that multiplication should be done before addition. Therefore, we first multiply 2 and 4, which equals 8. Then, we add 8 to 8, resulting in 16.
23.
12 ÷ 3 + 4 =
Explanation
The given expression involves division and addition. According to the order of operations, division should be performed before addition. So, we divide 12 by 3 first, which equals 4. Then we add 4 to 4, resulting in 8. Therefore, the correct answer is 8.
24.
10 - 8 ÷ 2 =
Explanation
The given expression involves the operations of subtraction and division. According to the order of operations, division should be performed before subtraction. So, we first divide 8 by 2, which equals 4. Then, we subtract 4 from 10, resulting in 6. Therefore, the correct answer is 6.
25.
7 + 2 - 3 =
Explanation
The given expression involves addition, subtraction, and no parentheses or other operations. Therefore, we can solve it by following the order of operations, which states that we should perform addition and subtraction from left to right. First, we add 7 and 2, which equals 9. Then, we subtract 3 from 9, resulting in a final answer of 6.
26.
5 x 4 - 8 =
Explanation
The given expression can be solved by following the order of operations, which states that multiplication should be done before subtraction. So, first we multiply 5 by 4, which gives us 20. Then, we subtract 8 from 20, resulting in 12. Therefore, the correct answer is 12.
27.
9 + 10 ÷ 5 =
28.
27 - 9 ÷ 9 =
Explanation
The given expression involves subtraction and division. According to the order of operations, division should be performed before subtraction. So, first, we divide 9 by 9, which equals 1. Then, we subtract 1 from 27, resulting in 26. Therefore, the answer is 26.
29.
12 ÷ 1 - 6 =
Explanation
In this expression, we need to follow the order of operations, which states that division should be done before subtraction. So, first, we divide 12 by 1, which gives us 12. Then, we subtract 6 from 12, resulting in 6. Therefore, the answer is 6.
30.
4 + 4 x 4 =
Explanation
The expression follows the order of operations, which states that multiplication should be done before addition. Therefore, we multiply 4 by 4 first, resulting in 16. Then we add 4 to 16, giving us a final answer of 20.
31.
3 x ( 2 + 4) =
Explanation
The given expression 3 x (2 + 4) can be simplified by first evaluating the expression inside the parentheses, which is 2 + 4 = 6. Then, multiplying this result by 3 gives us 3 x 6 = 18. Therefore, the correct answer is 18.
32.
12 ÷ (4 + 2) =
Explanation
The given expression involves division and addition. According to the order of operations, we should perform the addition first. So, we add 4 and 2, which equals 6. Then, we divide 12 by 6, resulting in 2. Therefore, the correct answer is 2.
33.
(4 + 6) ÷ 5 =
Explanation
The expression (4 + 6) ÷ 5 simplifies to 10 ÷ 5, which equals 2.
34.
(10 - 6) + 5 =
Explanation
The given expression is (10 - 6) + 5. We start by evaluating the subtraction inside the parentheses, which gives us 4. Then, we add 5 to 4, resulting in 9. Therefore, the correct answer is 9.
35.
3 x ( 9 ÷ 3 ) =
Explanation
The given expression is 3 multiplied by the result of dividing 9 by 3. When we divide 9 by 3, we get 3. Multiplying 3 by 3 gives us the final result of 9.
36.
( 7 - 4 ) x (1 - 4 ) =
Explanation
The given expression is (7 - 4) x (1 - 4). We can simplify this expression by first evaluating the subtraction within the parentheses: 7 - 4 = 3 and 1 - 4 = -3. Then, we multiply these two results together: 3 x -3 = -9. Therefore, the correct answer is -9.
37.
( 7 + 5 ) ÷ ( 6 - 3 ) =
Explanation
The expression (7 + 5) ÷ (6 - 3) simplifies to 12 ÷ 3, which equals 4.
38.
True or false : 4 x 5 - 1 = 16
Correct Answer
B. False
Explanation
The given equation is 4 multiplied by 5 minus 1. Multiplying 4 by 5 gives us 20, and subtracting 1 from 20 gives us 19. Therefore, the equation 4 x 5 - 1 equals 19, not 16.
39.
True or false: 8 ÷ 2 + 4 = 8
Correct Answer
A. True
Explanation
The given statement is true because according to the order of operations (PEMDAS/BODMAS), division should be performed before addition. Therefore, 8 divided by 2 equals 4, and when you add 4 to it, the result is 8.
40.
True or false : 8 - 3 x 4 = 20
Correct Answer
B. False
Explanation
The given equation is 8 - 3 x 4. According to the order of operations, multiplication should be done before subtraction. So, we need to multiply 3 and 4 first, which gives us 12. Then, we subtract 12 from 8, resulting in -4. Therefore, the correct answer is False, as 8 - 3 x 4 is not equal to 20.