Example Question - arithmetic calculation
Here are examples of questions we've helped users solve.
Calculation of a Linear Combination
<p>The given expression is a linear combination of numbers:</p> <p>To solve the expression, perform the operations as indicated:</p> <p>\( 3(0.6) + 3(7) - 6 \left( \frac{2}{3} \right) \)</p> <p>First, multiply each term inside the parentheses:</p> <p>\( 3 \times 0.6 = 1.8 \)</p> <p>\( 3 \times 7 = 21 \)</p> <p>\( 6 \times \frac{2}{3} = 4 \)</p> <p>Combine the results of the multiplications:</p> <p>\( 1.8 + 21 - 4 \)</p> <p>Now, add and subtract the numbers:</p> <p>\( 1.8 + 21 = 22.8 \)</p> <p>\( 22.8 - 4 = 18.8 \)</p> <p>So the solution to the expression is:</p> <p>\( 18.8 \)</p>
Arithmetic Calculation with Fractions and Decimals
Hãy thực hiện phép tính sau: a) \( \frac{3}{4} + (-0.25) + \frac{3}{5} - \frac{8}{4} \) Để giải quyết phần này, chúng ta nên chuyển đổi tất cả các số thành dạng phân số hoặc số thập phân để dễ dàng tính toán. Chúng ta sẽ chuyển số thập phân thành phân số: \( -0.25 \) tương đương với \( -\frac{1}{4} \) Bây giờ, công thức sẽ trở thành: \( \frac{3}{4} + (-\frac{1}{4}) + \frac{3}{5} - 2 \) Ở đây, \( \frac{8}{4} \) đã được đơn giản hóa thành 2. Tiếp theo, ta thực hiện phép cộng và trừ: - \( \frac{3}{4} + (-\frac{1}{4}) = \frac{3 - 1}{4} = \frac{2}{4} = \frac{1}{2} \) - \( \frac{3}{5} - 2 = \frac{3}{5} - \frac{10}{5} = -\frac{7}{5} \) Bây giờ ta cộng 2 kết quả này lại: \( \frac{1}{2} + (-\frac{7}{5}) \) Để có thể cộng chúng ta cần một mẫu số chung, trong trường hợp này là 10. Cố gắng để thực hiện: - \( \frac{1}{2} = \frac{5}{10} \) - \( -\frac{7}{5} = -\frac{14}{10} \) Bây giờ ta cộng chúng lại: \( \frac{5}{10} + (-\frac{14}{10}) = \frac{5 - 14}{10} = -\frac{9}{10} \) Vậy đáp án cho phần a) là \( -\frac{9}{10} \).
Arithmetic Calculation with Negative Fractions
好的，这个题目是一个简单的算术题。首先解决加法和乘法，然后再做除法。 计算如下: -137 + 126 = -11 （先做加法） -11 × (4/9) （然后做乘法） 为了乘以一个分数，你需要把整数转换为分数，这里-11可以看作是-11/1。 所以这个计算变成了： (-11/1) × (4/9) = -44/9 因为分子和分母没有共同的因数，这个分数不能简化。所以最后答案就是-44/9。这是一个不可约分的负分数。
Arithmetic Calculation and Evaluation
To solve the expression given in the image, follow the order of operations, PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right): Given expression: 7 + 3 × 2^4 ÷ 8 - (9 ÷ 6 - 3)^2 Let's simplify the expression step by step: 1. Solve the exponentiation (2^4): 7 + 3 × 16 ÷ 8 - (9 ÷ 6 - 3)^2 2. Perform the division inside the parentheses (9 ÷ 6): 7 + 3 × 16 ÷ 8 - (1.5 - 3)^2 3. Solve the subtraction inside the parentheses (1.5 - 3): 7 + 3 × 16 ÷ 8 - (-1.5)^2 4. Solve the exponentiation (-1.5)^2 (square of -1.5): 7 + 3 × 16 ÷ 8 - 2.25 5. Perform the multiplication (3 × 16) and the division by 8: 7 + 48 ÷ 8 - 2.25 6. Perform the division (48 ÷ 8): 7 + 6 - 2.25 7. Add 7 and 6: 13 - 2.25 8. Subtract 2.25 from 13: 13 - 2.25 = 10.75 However, none of the answer choices match this calculation. It seems we have faced an arithmetic mistake. Let us go through the calculation again more carefully. 1. Solve the exponent (2^4 = 16): 7 + 3 × 16 ÷ 8 - (9 ÷ 6 - 3)^2 2. Carry out the division (16 ÷ 8 = 2): 7 + 3 × 2 - (9 ÷ 6 - 3)^2 3. Perform any multiplications (3 × 2 = 6): 7 + 6 - (9 ÷ 6 - 3)^2 4. Solve the division inside the parentheses (9 ÷ 6 = 1.5): 7 + 6 - (1.5 - 3)^2 5. Perform the subtraction inside the parentheses (1.5 - 3 = -1.5): 7 + 6 - (-1.5)^2 6. Compute the square (-1.5 × -1.5 = 2.25): 7 + 6 - 2.25 7. Add the 7 and 6: 13 - 2.25 8. Finally, subtract 2.25 from 13: 13 - 2.25 = 10.75 After following each step carefully, the result is indeed 10.75, which does not appear to be one of the options provided. There may be a mistake in the answer choices or a misinterpretation of the question. If we consider the initial expression again and assume that order of division and multiplication as per the provided image: 7 + (3 × 2^4 ÷ 8) - (9 ÷ 6 - 3)^2 We may consider performing the division in the term (3 × 2^4 ÷ 8) following the left-to-right rule. In that case, we divide first and then multiply: 1. Solve the exponent (2^4 = 16): 7 + (3 × 16 ÷ 8) - (9 ÷ 6 - 3)^2 2. Perform the division first according to the left-to-right rule of division and multiplication (16 ÷ 8 = 2): 7 + (3 × 2) - (9 ÷ 6 - 3)^2 3. Multiply (3 × 2 = 6): 7 + 6 - (9 ÷ 6 - 3)^2 4. Solve within the parentheses for division and subtraction (9 ÷ 6 = 1.5, then 1.5 - 3 = -1.5): 7 + 6 - (-1.5)^2 5. Calculate the square of -1.5 (-1.5 × -1.5 = 2.25): 7 + 6 - 2.25 6. Add 7 and 6: 13 - 2.25 7. Subtract 2.25 from 13: 13 - 2.25 = 10.75 Once again, the result is 10.75. The question may contain a mistake, as none of the provided answer choices match the correct calculation. Could you please double-check the problem or the answer choices?
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