1) Find the value of the expression: 1) 0.2 divided by 3600 plus 5 divided by 16; 3) 54 multiplied by 72; 2) (0.04

Задача: Найдите значение выражения:

1) Десятая часть от 3600, плюс пятая часть от 16;
3) 54 умноженное на 72;
2) Разность между 0,04 и 64;
4) Умножить 2 на 50 и вычесть 20.

Решение:

1) Чтобы найти десятую часть от 3600, мы должны разделить 3600 на 10. Получаем 360.
Чтобы найти пятую часть от 16, мы должны умножить 16 на 1/5 или 0,2. Получаем 3,2.
Сложив эти два значения, получаем 360 + 3,2 = 363,2.

3) Чтобы найти произведение 54 и 72, мы должны умножить эти два числа. Получаем 3888.

2) Чтобы найти разность между 0,04 и 64, мы вычитаем 64 из 0,04.
Получаем -63,96.

4) Чтобы найти результат умножения 2 на 50, мы умножаем эти два числа. Получаем 100.
Затем вычитаем 20 из 100. Получаем 80.

Пример:
1) Выражение: 0.2 / 3600 + 5 / 16
Ответ: 363,2

2) Выражение: (0.04 - 64)
Ответ: -63,96

3) Выражение: 54 * 72
Ответ: 3888

4) Выражение: 2 * 50 - 20
Ответ: 80

Совет: Для упрощения вычислений, можно использовать калькулятор или записывать промежуточные шаги, если просят пошаговое решение.

Дополнительное упражнение: Найдите значение выражения: 0.5 * 8 + 3 / 2.

Find the value of the expression:
1) 0.2 divided by 3600 plus 5 divided by 16;
Explanation: To find the value of the expression, we need to perform the division and addition operations in the given order. Firstly, we divide 0.2 by 3600, which gives us a small decimal value. Then, we divide 5 by 16, which gives us another decimal value. Finally, we add these two decimal values to get the final result.
Example of use: Calculate the value of the expression 0.2 divided by 3600 plus 5 divided by 16.
Advice: To divide a decimal number, divide it as you would with whole numbers and then place the decimal point in the quotient. To add decimal numbers, align the decimal points and add the corresponding digits.
Exercise: Find the value of the expression: 0.5 divided by 100 plus 3 divided by 4.

Solve the equation:
1) x squared equals 10;
Explanation: To solve the equation, we need to find the value of x that satisfies the equation. In this case, we have an equation in the form of x squared equals a number. To find the value of x, we need to take the square root of both sides of the equation.
Example of use: Solve the equation x squared equals 10.
Advice: When taking the square root of both sides of an equation, remember to consider both the positive and negative square root solutions.
Exercise: Solve the equation y squared equals 36.

Evaluate the expression:
1) 7 divided by 6 minus 254 plus square root of 96;
Explanation: To evaluate the expression, we need to perform the division, subtraction, and square root operations in the given order. Firstly, we divide 7 by 6, which gives us a decimal value. Then, we subtract 254 from this decimal value. Finally, we find the square root of 96 and add it to the previous result.
Example of use: Evaluate the expression 7 divided by 6 minus 254 plus square root of 96.
Advice: When calculating square roots, try to simplify the number inside the square root if possible. Also, use a calculator if necessary.
Exercise: Evaluate the expression 5 divided by 3 plus square root of 25.

Compare the numbers:
1) 4 fifths and 3 eighths.
Explanation: To compare the numbers, we need to convert them into a common denominator. In this case, the common denominator is 40. Then, we compare the numerators to determine which number is greater.
Example of use: Compare the numbers 4 fifths and 3 eighths.
Advice: To compare fractions with different denominators, convert them into a common denominator. If the numerators are the same, the fraction with the smaller denominator will be greater.
Exercise: Compare the numbers 2 thirds and 5 tenths.

Simplify the fraction:
c plus 14c plus 49x minus 5
Explanation: To simplify the expression, we combine like terms by adding or subtracting the coefficients of similar variables. In this case, we have terms with the variables c and x. Thus, we can simplify the expression by adding the coefficients of the unlike terms.
Example of use: Simplify the expression c plus 14c plus 49x minus 5.
Advice: When combining like terms, pay attention to the signs in front of each term. If the signs are different, subtract the coefficients; if the signs are the same, add the coefficients.
Exercise: Simplify the expression 2x plus 5y minus 3x plus 4y.