Solving a fraction problem
I’m trying to solve for \(1/3 - 1 = -2/3\) and thinking about \(2.8 = 14/5\). I need to divide by \(-2/3\) which leads to \(-4.2\) as my answer. There’s also a possibility to express \(2.8\) over \((1/3) - 1\). Imagining a fraction bar helps visualize that the denominator is \(\frac{1}{3} - 1\). For Task 7, I need to place the points \(-0.132\), \(-0.077\), \(0.202\), and \(-0.303\) on a number line and sort them as A, B, C, D.Sorting number positions
I'm trying to sort the values A, B, C, and D based on their positions. I see that A is -0.303, B is -0.132, C is -0.077, and D is 0.202. The question asks which point corresponds to -0.1322, but that number isn't an option listed among the four. Based on the coordinate line, it seems number -0.1322 would be just left of point B. I need to confirm it relates to the positions provided!Interpreting the question
It seems I might be misreading the number; it should be -0.1322, but there's also -0.132 among the given numbers. I'm assuming the question asks which point corresponds to -0.132. The text might actually say -0.132 with a question mark, and I'm trying to take a closer look at the image to confirm this. It could be a transcription issue. The task is likely comparing -0.132 to the identified points A, B, C, and D. Let me analyze the image further!Analyzing numerical options
I’m trying to make sense of the options: A, B, C, and D being associated with \(-0.1322\). It looks like there might be a semicolon issue causing confusion between \(-0.1322\) and \(-0.132\). The list shows values like \(-0.132;\ -0.077;\ 0.202;\ -0.303\). I wonder if the actual task is looking to compare \(-0.1322\) with these values. It feels like the question may actually ask about the point corresponding to \(-0.132\).Examining typographical details
I'm analyzing the pixel dimensions and typography of the text. It looks like there's a question mark right after "-0,132," but I can't confirm it through OCR. The visual representation shows the phrase: “Какой точке соответствует число −0,1322?” And when I inspect the image closely, it seems that the character after 132 might resemble a question mark, possibly being misinterpreted. The printed question mark often looks similar to a small hook, which could explain the confusion with the number.
Краткий ответ:
- 6) \(-4,2\)
- 7) 2) B
- 8) \(35\)
6
\[ \frac{2,8}{\frac13-1} \]
Сначала вычислим знаменатель:
\[ \frac13-1=\frac13-\frac33=-\frac23. \]
Тогда:
\[ 2,8:\left(-\frac23\right) =\frac{14}{5}\cdot\left(-\frac32\right) =-\frac{21}{5}=-4,2. \]
7
На координатной прямой числа расположены слева направо по возрастанию:
\[ -0,303<-0,132<-0,077<0,202. \]
Значит:
- \(A\) соответствует \(-0,303\);
- \(B\) соответствует \(-0,132\);
- \(C\) соответствует \(-0,077\);
- \(D\) соответствует \(0,202\).
Ответ: 2) B.
8
\[ (\sqrt{112}+\sqrt7)\cdot\sqrt7 \]
Представим \(112=16\cdot7\):
\[ \sqrt{112}=4\sqrt7. \]
Тогда:
\[ (4\sqrt7+\sqrt7)\sqrt7 =5\sqrt7\cdot\sqrt7 =5\cdot7=35. \]
Проверка: \(\sqrt7\cdot\sqrt7=7\), поэтому результат равен \(35\).