Math homework. Variant 2: 1. Perform multiplication: a) 2) 3) 2. Tourists walked km, of which they walked through

Subject: Math homework

Разъяснение:
1. To perform multiplication, you need to multiply two numbers together. Let"s solve these examples:
a) \(2 \times 3 = 6\)
b) \(5 \times 7 = 35\)
c) \(8 \times 2 = 16\)

2. It is given that tourists walked a certain distance, and a part of this distance is through the forest. To find out how many kilometers the tourists walked through the forest, you need to multiply the total distance by the fraction representing the distance through the forest. Let"s calculate this:
Let the total distance be \(x\) km and the distance through the forest be \(y\) km.
The fraction representing the distance through the forest is \(\frac{y}{x}\).
Therefore, the distance through the forest is \(x \times \frac{y}{x} = y\) km.

3. To find the value of an expression, you need to substitute the given values into the expression and perform the calculations. Let"s solve this example:
\(\frac{4}{5} \times \frac{3}{4} = \frac{12}{20} = \frac{3}{5}\)

4. Let"s assume the height of the rectangular parallelepiped is \(h\) cm. According to the given information, the length is \(h \times k\) (where \(k\) is a number greater than \(1\)) and the width is \(0.6 \times h\).
The volume of a rectangular parallelepiped is given by the formula: \(V = l \times w \times h\).
Substituting the given values, we get: \(V = (h \times k) \times (0.6 \times h) \times h = 0.6 \times k \times h^3\) cubic centimeters.

5. To calculate the value of an expression using the most convenient method, you need to simplify the expression and perform the necessary calculations. Please provide the specific expression you want to calculate.

6. It is given that three tractors plowed a field. The first tractor plowed part of the field, the second tractor plowed the remaining part, and hence the third tractor plowed the remaining part of the field.
To find out the part of the field plowed by each tractor, you need to subtract the plowed area of the previous tractor from the total area.
Let"s assume the total area of the field is \(A\) and the first tractor plowed \(x\) area, then the second tractor plowed \(A - x\) area, and finally, the third tractor plowed \(A - (x + A - x) = A - A = 0\) area.

Например:
Calculate the volume of a rectangular parallelepiped if the height is 10 cm, the length is 3 times the height, and the width is 60% of the length.

Совет:
- Practice multiplication and division to strengthen your calculation skills.
- Understand the formulas and their applications to solve problems more effectively.
- Break down complex problems into smaller steps to make them more manageable.

Закрепляющее упражнение:
Solve the following problem:
A rectangle has a length which is \(2\) cm more than twice its width. If the perimeter of the rectangle is \(30\) cm, find its dimensions.