Question

Номер1 Прочитай десятичные дроби и запиши их в виде обыкновенных дробей: 1) 0,042 2)1,8 3)5,06 4) 14,305 5) 358,0094 6) 9,730851 Номер2 1)Начерти координатную прямую,приняв за единичный отрезок 10 клеток,Отметь на ней точки: A(0,4) , B(0,25) , C(0,4) , D (0,55) , E(0,75) , F(0,9) 2)Начерти координатную прямую,приняв за единичный отрезок 20 клеток.Отметь на ней точки: A(0,05) , B(0,25) , C(0,4) , D(0,55) , E(0,75) , F(0,9) (В этом номере можно сфотографировать координатную прямую с координатами) Номер3 Докажи или опровергни высказывание: 1) 2 4/7 > 2 4/11 2) 5/9 знак больше или ровно < 15/19 3)Дробь 3/10000 равна десятичной дроби 0,0003 4)Произведение двух чисел больше каждого множителя. 5)Всякий квадрат является прямоугольником. 6)Существует прямоугольник,который не является квадратом. ПОМОГИТЕ

Answer 1

1)42/1000 2)1 8/10 3)5 6/100  4)14 305/1000  5)358 94/10000  6)9 730851/1000000

Answer 2

Number 1: Converting Decimal Fractions to Common Fractions

To convert decimal fractions to common fractions, we need to express the decimal part as a fraction over a power of 10.

1) 0.042 can be written as 42/1000. Simplifying the fraction gives us 21/500. 2) 1.8 can be written as 18/10. Simplifying the fraction gives us 9/5. 3) 5.06 can be written as 506/100. Simplifying the fraction gives us 253/50. 4) 14.305 can be written as 14305/1000. Simplifying the fraction gives us 287/20. 5) 358.0094 can be written as 3580094/10000. Simplifying the fraction gives us 1790047/5000. 6) 9.730851 can be written as 9730851/1000000. Simplifying the fraction gives us 194617/20000.

Number 2: Plotting Points on a Coordinate Plane

1) To plot points on a coordinate plane, we need to draw a horizontal x-axis and a vertical y-axis. Let's assume each unit on the axis represents 10 cells.

- Point A(0,4) is located at 4 units above the x-axis. - Point B(0,25) is located at 25 units above the x-axis. - Point C(0,4) is located at 4 units above the x-axis. - Point D(0,55) is located at 55 units above the x-axis. - Point E(0,75) is located at 75 units above the x-axis. - Point F(0,9) is located at 9 units above the x-axis.

2) Similarly, let's assume each unit on the axis represents 20 cells.

- Point A(0,05) is located at 1 unit above the x-axis. - Point B(0,25) is located at 5 units above the x-axis. - Point C(0,4) is located at 8 units above the x-axis. - Point D(0,55) is located at 11 units above the x-axis. - Point E(0,75) is located at 15 units above the x-axis. - Point F(0,9) is located at 18 units above the x-axis.

Number 3: Proving or Disproving Statements

1) To compare 2 4/7 and 2 4/11, we need to convert them to improper fractions.

- 2 4/7 can be written as 18/7. - 2 4/11 can be written as 26/11.

Comparing the two fractions, we can see that 18/7 is greater than 26/11.

2) To compare 5/9 and 15/19, we can convert them to decimal fractions.

- 5/9 is approximately equal to 0.5556. - 15/19 is approximately equal to 0.7895.

Therefore, the statement 5/9 is less than or equal to 15/19 is true.

3) To check if 3/10000 is equal to 0.0003, we can compare the two decimal fractions.

- 3/10000 is equal to 0.0003.

Therefore, the statement 3/10000 is equal to 0.0003 is true.

4) The statement "the product of two numbers is greater than each factor" is generally true. However, without specific numbers, we cannot provide a definitive answer.

5) The statement "every square is a rectangle" is true. A square is a special type of rectangle where all sides are equal in length.

6) The statement "there exists a rectangle that is not a square" is also true. A rectangle can have different side lengths, whereas a square has equal side lengths.

I hope this helps! Let me know if you have any further questions.