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Explanation The given equation is solved using the order of operations, which states that multiplication and division should be done before addition and subtraction. So, first, we multiply 9 and 7 to get 63. Then, we add 3 to get the 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, the expression should be solved by multiplying 4 and 3 first, resulting in 12. Then, the addition operation is performed, adding 9 to 12, resulting in a final answer of 21.
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3.
9 x (7 + 3) =
Explanation The given expression is 9 multiplied by the sum of 7 and 3. The sum of 7 and 3 is 10. Multiplying 9 by 10 gives the result of 90.
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4.
3 + 5 x 6 =
Explanation The given expression 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, which gives us the final answer of 33.
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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 first divide 20 by 2, which equals 10. Then, we subtract 10 from 30, resulting in 20.
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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 done before addition. So, we first multiply 1.4 by 5, which gives us 7. Then, we add 1.2 to 7, resulting in 8.2. Therefore, the correct answer is 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, division should be performed before addition. So, we divide 1.6 by 2, which equals 0.8. Then, we add 8.4 to 0.8, resulting in 9.2. Therefore, the answer is 9.2.
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8.
30 ÷ (1.2 + 1.3) =
Explanation The given expression is a division problem with a numerator of 30 and a denominator of the sum of 1.2 and 1.3. When we add 1.2 and 1.3, we get 2.5. Therefore, dividing 30 by 2.5 equals 12.
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9.
5 + 1.2 x 10 - 1.4 x 5 =
Explanation The given expression involves addition, multiplication, and subtraction. Following the order of operations, we first perform the multiplications: 1.2 multiplied by 10 equals 12, and 1.4 multiplied by 5 equals 7. Next, we perform the additions and subtractions from left to right: 5 plus 12 equals 17, and 17 minus 7 equals 10. Therefore, the final answer is 10.
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10.
3 + 2^{2} =
11.
3 x 3^{2} + 4
12.
80 - 3 x 5^{2} =
Explanation The given expression is 80 - 3 x 52. According to the order of operations (PEMDAS/BODMAS), we need to perform the multiplication before subtraction. So, 3 x 52 equals 156. Now, we can subtract 156 from 80, which gives us -76. Therefore, the correct answer is -76.
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13.
25 - 2^{2} x 2 =
14.
(4 + 2^{3}) x 8 =
Explanation The given expression is (4 + 23) x 8. To solve this, we first perform the addition inside the parentheses, which gives us 27. Then, we multiply 27 by 8, resulting in 216. Therefore, the correct answer is 216.
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15.
(2 + 5) x 3^{2} =
Explanation The given expression is a simple arithmetic equation that involves addition, multiplication, and parentheses. The expression inside the parentheses, 2 + 5, equals 7. Then, multiplying 7 by 32 gives the final result of 224. Therefore, the answer is 224.
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16.
30 - 12 + 5 =
Explanation The given expression is solved using the order of operations, which states that multiplication and division should be done before addition and subtraction. In this case, there is no multiplication or division involved, so we can simply evaluate the expression from left to right. Subtracting 12 from 30 gives us 18, and then adding 5 gives us a final answer of 23.
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17.
10^{2} - 4 x 10 =
Explanation The given expression is 102 - 4 x 10. According to the order of operations (PEMDAS/BODMAS), we need to perform the multiplication before the subtraction. 4 x 10 equals 40. So, the expression becomes 102 - 40, which equals 62. Therefore, the answer 60 is incorrect.
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18.
10 + 5^{2} ÷ 2 =
Explanation The given expression involves 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. However, the given answer is 22.5, which is incorrect. It seems that there may be a mistake in the calculation or the provided answer.
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19.
3^{2} x 2^{3 }+ 4 x 2 =
Explanation The given expression involves multiplication and addition. According to the order of operations (PEMDAS/BODMAS), we need to perform the multiplication first. 32 multiplied by 23 equals 736. Then, we need to perform the multiplication of 4 and 2, which equals 8. Finally, we add 736 and 8, resulting in 744. Therefore, the correct answer is 744, not 80.
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20.
(2 + 5^{2}) + 4 x 2 =
Explanation The given expression involves addition and multiplication. According to the order of operations (PEMDAS/BODMAS), we need to perform the multiplication before the addition. Therefore, we first calculate 4 x 2, which equals 8. Then, we add the result to the sum of 2 + 52, which is 54. Hence, the final result is 54 + 8 = 62. Therefore, the given answer of 35 is incorrect.
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21.
3 x 4 + 7 =
Explanation The given expression is 3 multiplied by 4, which equals 12, and then added to 7. Therefore, the answer is 12 + 7 = 19.
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22.
8 + 2 x 4 =
Explanation The given expression follows the order of operations (PEMDAS/BODMAS) which states that multiplication should be done before addition. Therefore, we first multiply 2 by 4, which equals 8, and then add 8 to 8, resulting in 16.
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23.
12 ÷ 3 + 4 =
Explanation The given expression involves both division and addition operations. According to the order of operations in mathematics, division should be performed before addition. Therefore, we first divide 12 by 3, which equals 4. Then, we add 4 to 4, resulting in 8. Hence, the correct answer is 8.
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24.
10 - 8 ÷ 2 =
Explanation The given expression involves division and subtraction. According to the order of operations, division should be performed before subtraction. So, 8 ÷ 2 is calculated first, resulting in 4. Then, subtracting 4 from 10 gives the final answer of 6.
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25.
7 + 2 - 3 =
Explanation The given equation involves addition and subtraction operations. Following the order of operations, we first perform the addition operation 7 + 2, which equals 9. Then, we subtract 3 from the result, 9 - 3, which equals 6. Therefore, the final answer is 6.
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26.
5 x 4 - 8 =
Explanation The given expression is 5 multiplied by 4 minus 8. To solve this expression, we first perform the multiplication, which gives us 20. Then, we subtract 8 from 20, resulting in 12. Therefore, the answer to the expression 5 x 4 - 8 is 12.
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27.
9 + 10 ÷ 5 =
Explanation The given expression is 9 + 10 ÷ 5. According to the order of operations (PEMDAS/BODMAS), division should be performed before addition. Therefore, we divide 10 by 5 first, which equals 2. Then, we add 9 to 2, resulting in 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 is 12 divided by 1 minus 6. According to the order of operations (PEMDAS/BODMAS), we first perform the division operation, which gives us 12 divided by 1 equals 12. Then, we subtract 6 from 12, resulting in 6. Therefore, the answer to the expression is 6.
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30.
4 + 4 x 4 =
Explanation The given expression follows the order of operations, which states that multiplication should be done before addition. Therefore, we first multiply 4 by 4, which equals 16. Then, we add 4 to the result, which gives us 20.
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31.
3 x ( 2 + 4) =
Explanation The given expression involves the multiplication of 3 with the sum of 2 and 4. According to the order of operations in mathematics (PEMDAS/BODMAS), we should first perform the addition inside the parentheses, which gives us 6. Then, we multiply 3 with 6, resulting in 18.
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32.
12 ÷ (4 + 2) =
Explanation The given expression is a division problem with a numerator of 12 and a denominator of the sum of 4 and 2. To solve this, we need to perform the addition first, which gives us 6. Then, we divide 12 by 6, resulting in an answer of 2.
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33.
(4 + 6) ÷ 5 =
Explanation The given expression is (4 + 6) ÷ 5. To solve this expression, we first perform the addition inside the parentheses which gives us 10. Then, we divide this sum by 5, resulting in 2. Therefore, the correct answer is 2.
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34.
(10 - 6) + 5 =
Explanation The given expression (10 - 6) + 5 simplifies to 4 + 5, which equals 9.
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35.
3 x ( 9 ÷ 3 ) =
Explanation The given expression can be simplified by first dividing 9 by 3, which equals 3. Then, multiplying 3 by 3 gives us 9. Therefore, the final answer is 9.
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36.
( 7 - 4 ) x (1 - 4 ) =
Explanation The given expression is a multiplication of two factors: (7 - 4) and (1 - 4).
First, we simplify the expression within the parentheses:
(7 - 4) = 3
(1 - 4) = -3
Next, we multiply the two factors:
3 x -3 = -9
Therefore, the answer to the given expression is -9.
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37.
( 7 + 5 ) ÷ ( 6 - 3 ) =
Explanation The given expression is (7 + 5) ÷ (6 - 3). We need to follow the order of operations, which states that we should perform the operations inside parentheses first. Inside the first set of parentheses, 7 + 5 equals 12. Inside the second set of parentheses, 6 - 3 equals 3. Now we are left with 12 ÷ 3. Dividing 12 by 3 gives us 4. Therefore, the answer 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 multiplied by 5 minus 1. Multiplication is performed before subtraction, so we first multiply 4 by 5, which equals 20. Then, we subtract 1 from 20, resulting in 19. Therefore, the statement "4 x 5 - 1 = 16" is false.
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39.
True or false: 8 ÷ 2 + 4 = 8
A.
True
B.
False
Correct Answer A. True
Explanation The given statement is true because when we follow the order of operations (PEMDAS/BODMAS), we first divide 8 by 2, which equals 4. Then, we add 4 to 4, resulting in 8. Therefore, the equation 8 ÷ 2 + 4 equals 8.
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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), multiplication should be performed before subtraction. So, we 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.
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