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Explanation The given expression is 9 multiplied by 7, which equals 63. Then, 3 is added to 63, resulting in a final answer of 66.
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2.
9 + 4 x 3 =
Explanation The given expression follows the order of operations, which states that multiplication should be performed 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.
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3.
9 x (7 + 3) =
Explanation The given equation is 9 multiplied by the sum of 7 and 3. To solve this, we first calculate the sum of 7 and 3, which is 10. Then, we multiply 9 by 10, resulting in 90. Therefore, the correct answer is 90.
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4.
3 + 5 x 6 =
5.
30 - 20 ÷ 2 =
Explanation The given expression involves subtraction and division. According to the order of operations, we perform the division first. So, 20 divided by 2 equals 10. Then, we subtract 10 from 30, resulting in 20. Therefore, the answer is 20.
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6.
1.2 + 1.4 x 5 =
Explanation The given expression is solved using the order of operations, which states that multiplication should be done before addition. Therefore, we first multiply 1.4 by 5, resulting in 7. Then, we add 1.2 to 7, giving us the final answer of 8.2.
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7.
8.4 + 1.6 ÷ 2 =
Explanation The given expression involves addition and division. According to the order of operations, we should perform the division first. 1.6 divided by 2 equals 0.8. Then, we add 8.4 to 0.8, which gives us 9.2. Therefore, the answer is 9.2.
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8.
30 ÷ (1.2 + 1.3) =
Explanation The given expression involves division and addition. According to the order of operations, we should perform the addition first. Adding 1.2 and 1.3 gives us 2.5. Then, we divide 30 by 2.5, which equals 12. Therefore, the answer is 12.
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9.
5 + 1.2 x 10 - 1.4 x 5 =
Explanation The given expression involves addition, multiplication, and subtraction. According to the order of operations, multiplication should be performed before addition and subtraction. Therefore, we first calculate 1.2 multiplied by 10, which equals 12. Then, we calculate 1.4 multiplied by 5, which equals 7. Finally, we subtract 7 from 12, resulting in 5. Since we are left with only one number, which is 5, the answer is 5.
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10.
3 + 2^{2} =
Explanation The given equation is a simple addition problem. When we add 3 and 22 together, we get the sum of 25. However, the answer provided is 7, which is incorrect. It seems that there is an error in the question or the answer options.
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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 follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). Since there are no parentheses or exponents in the expression, we move on to multiplication and division. Multiplying 3 and 52 gives us 156. Then, we subtract 156 from 80, resulting in -76. Therefore, the correct answer is -76.
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13.
25 - 2^{2} x 2 =
Explanation The given expression is 25 - 22 x 2. To solve this expression, we first perform the multiplication operation, which gives us 25 - 44. Next, we subtract 44 from 25, resulting in 17. Therefore, the answer to the expression is 17.
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14.
(4 + 2^{3}) x 8 =
Explanation (4 + 2^3) x 8
First, calculate the exponent:
2^3 = 2 x 2 x 2 = 8
Now, substitute the result back into the expression:
(4 + 8) x 8
Next, add 4 and 8:
12 x 8
Finally, multiply 12 by 8:
12 x 8 = 96
So, (4 + 2^3) x 8 = 96.
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15.
(2 + 5) x 3^{2} =
Explanation The given expression involves the operation of multiplication and addition. According to the order of operations, parentheses should be evaluated first. The expression inside the parentheses, (2 + 5), equals 7. Then, the expression becomes 7 x 32, which equals 224. Therefore, the correct answer is 224.
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16.
30 - 12 + 5 =
Explanation The given expression involves subtraction and addition. We start by subtracting 12 from 30, which gives us 18. Then, we add 5 to 18, resulting in 23. Therefore, the correct answer is 23.
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17.
10^{2} - 4 x 10 =
Explanation The given expression is 102 - 4 x 10. To solve this expression, we need to follow the order of operations, which states that we should perform multiplication before subtraction. So, we first multiply 4 and 10, which equals 40. Then, we subtract 40 from 102, which gives us the result of 62. Therefore, the correct answer is 62, not 60.
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18.
10 + 5^{2} ÷ 2 =
Explanation The given equation 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.
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19.
3^{2} x 2^{3 }+ 4 x 2 =
Explanation To solve this expression, follow the order of operations (PEMDAS/BODMAS):
First, perform multiplication:
3^2 x 2^3 = 72
Then, perform the second multiplication:
4 x 2 = 8
Finally, add the results of the two multiplications:
72 + 8 = 80
So, 3^2 x 2^3 + 4 x 2 = 80
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20.
(2 + 5^{2}) + 4 x 2 =
Explanation The given expression involves addition and multiplication operations. According to the order of operations, multiplication should be performed before addition. Therefore, we first evaluate 4 x 2 which equals 8. Then, we add the result to the sum of 2 + 52, which equals 54. Therefore, the final answer is 54 + 8 = 62. However, the given answer is 35, which contradicts the correct calculation. Hence, the given answer is incorrect.
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21.
3 x 4 + 7 =
Explanation The given expression is solved by following the order of operations, which states that multiplication and division should be done before addition and subtraction. Therefore, we first multiply 3 by 4, resulting in 12. Then, we add 7 to 12, which gives us the final answer of 19.
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22.
8 + 2 x 4 =
Explanation The given expression follows the order of operations, which states that multiplication should be performed before addition. Therefore, we first multiply 2 by 4, resulting in 8. Then, we add 8 to 8, which equals 16.
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23.
12 ÷ 3 + 4 =
Explanation The given expression involves division and addition. According to the order of operations, division should be performed first. So, 12 divided by 3 equals 4. Then, the result is added to 4, giving a final answer of 8.
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24.
10 - 8 ÷ 2 =
Explanation The given expression involves subtraction and division. According to the order of operations (PEMDAS/BODMAS), division should be performed before subtraction. Therefore, we divide 8 by 2 first, which equals 4. Then, we subtract 4 from 10, resulting in 6. Hence, the correct answer is 6.
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25.
7 + 2 - 3 =
Explanation The given expression involves addition, subtraction, and a single-digit number. When we add 7 and 2, we get 9. Then, subtracting 3 from 9 gives us a final result of 6.
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26.
5 x 4 - 8 =
Explanation The given expression is solved by following the order of operations (PEMDAS/BODMAS). First, we multiply 5 by 4, which equals 20. Then, we subtract 8 from 20, resulting in 12. Therefore, the answer is 12.
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27.
9 + 10 ÷ 5 =
Explanation The given expression is 9 + 10 ÷ 5. According to the order of operations, division should be performed before addition. So, 10 ÷ 5 equals 2. Therefore, the expression simplifies to 9 + 2, which equals 11.
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28.
27 - 9 ÷ 9 =
Explanation The given expression follows the order of operations, which states that division should be performed before subtraction. Therefore, we first divide 9 by 9, which equals 1. Then, we subtract 1 from 27, resulting in 26.
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29.
12 ÷ 1 - 6 =
Explanation The given expression involves division and subtraction. According to the order of operations, division should be performed before subtraction. Therefore, we divide 12 by 1, which equals 12. Then, we subtract 6 from 12, resulting in 6. Hence, the answer is 6.
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30.
4 + 4 x 4 =
Explanation This question involves the order of operations in mathematics, specifically the rule of multiplication before addition. According to this rule, we need to perform the multiplication operation first, which is 4 multiplied by 4, resulting in 16. Then, we add 4 to this result, giving us a final answer of 20.
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31.
3 x ( 2 + 4) =
Explanation The given expression is 3 multiplied by the sum of 2 and 4. First, we perform the addition inside the parentheses, which gives us 6. Then, we multiply 3 by 6, resulting in the answer of 18.
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32.
12 ÷ (4 + 2) =
Explanation The given expression involves division and addition. According to the order of operations, parentheses should be evaluated first. So, we add 4 and 2, which equals 6. Then, we divide 12 by 6, which equals 2. Therefore, the correct answer is 2.
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33.
(4 + 6) ÷ 5 =
Explanation The given expression is (4 + 6) ÷ 5. To solve this, we first perform the addition inside the parentheses which gives us 10. Then we divide 10 by 5, resulting in 2. Therefore, the correct answer is 2.
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34.
(10 - 6) + 5 =
Explanation The given expression is (10 - 6) + 5. We start by evaluating the subtraction within the parentheses, which gives us 4. Then, we add 5 to 4, resulting in 9. Therefore, the correct answer is 9.
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35.
3 x ( 9 ÷ 3 ) =
Explanation The expression 3 x (9 ÷ 3) simplifies to 3 x 3, which equals 9.
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36.
( 7 - 4 ) x (1 - 4 ) =
Explanation The given expression involves two sets of parentheses. First, we calculate the value inside the first set of parentheses, which is 7 - 4 = 3. Then, we calculate the value inside the second set of parentheses, which is 1 - 4 = -3. Finally, we multiply these two values together: 3 x -3 = -9. Therefore, the answer is -9.
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37.
( 7 + 5 ) ÷ ( 6 - 3 ) =
Explanation The given expression is (7 + 5) ÷ (6 - 3). First, we solve the parentheses by performing the addition and subtraction inside them. 7 + 5 equals 12, and 6 - 3 equals 3. Next, we divide 12 by 3, which equals 4. Therefore, the answer to the expression is 4.
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38.
True or false : 4 x 5 - 1 = 16
A.
True
B.
False
Correct Answer B. False
Explanation The given equation is 4 x 5 - 1. To solve this equation, we need to follow the order of operations, which states that multiplication should be done before subtraction. Multiplying 4 and 5 gives us 20, and then subtracting 1 from that gives us 19. Therefore, the correct answer is False, as the equation does not equal 16.
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39.
True or false: 8 ÷ 2 + 4 = 8
A.
True
B.
False
Correct Answer A. True
Explanation The given equation is 8 ÷ 2 + 4 = 8. According to the order of operations (PEMDAS/BODMAS), we first perform the division, which gives us 4 + 4 = 8. Then, we add 4 to 4, resulting in 8. Since 8 is equal to 8, the statement is true.
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40.
True or false : 8 - 3 x 4 = 20
A.
True
B.
False
Correct Answer B. False
Explanation The given equation is 8 - 3 x 4. According to the order of operations (PEMDAS/BODMAS), we should perform the multiplication before subtraction. Therefore, 3 x 4 equals 12. Then, subtracting 12 from 8 gives us -4, not 20. Hence, the statement "8 - 3 x 4 = 20" is false.