Question

. Выполните действия: а) 0,872 ∙ 6,3; в) 30,42 : 7,8; б) 1,6 ∙ 7,625; г) 0,702 : 0,065; д) 0,026 : 0,01. 2. Решите уравнение: а) 3,4х - 16,2 = 1,82; б) 2,3у + 31+ 2,5у = 67. 3. . Округлите: а). 3,062; 4,137 ; 6,455 до сотых ; б). 5,86; 14,25 и 30,22 до десятых ; в). 247,54 и 376,37 до единиц. 4. Найдите значение выражения 296,2 – 2,7 ∙ 6,6 + 6 : 0,15 и полученный результат округлите до десятых. 5. Решите задачу. Из двух деревень навстречу друг другу вышли 2 пешехода. Скорость первого пешехода составляет 6,7 км/час, а скорость второго пешехода – 4,6 км/час. Через 2 часа и 30 минут они встретились. Каково расстояние между деревнями?

Answer 1

Ответ:

Задание 1

а)5,4936 б)12,2000(нули зачеркнуть)

в)3,9 г) 10,8 д) 2,6

Задание 2

а)3,4х-16,2=1,82

3,4х=16,2+1,82

3,4х=18,02

х=18,02:3,4=180,2:34

х=5,3

б)4.8у+31=67

4.8у=36

у=7.5

Задание 3

а) 3,062=3,06

4,137=4,14

6,455=6,46

б) 5,86=5,9

14,25=14,3

30,22=3,2

в) 247,54=248

376,37=376

Задание 4

296,2 – 2,7 ∙ 6,6 + 6 : 0,15=318,38=318,4

1) 2,7*6,6=17,82

2) 6:0,15=600:15=40

3)296,2-17,82=278,38

4)278,38+40=318,38

Задание 5

6,7*2,5=16,75км прошел первый пешеход за 2,5ч

4,6*2,5=11,5км второй пешеход за 2,5 ч

16,75+11,5=28,25 км между деревнями

Answer 2

Calculations:

a) 0.872 ∙ 6.3: To calculate the product of 0.872 and 6.3, multiply these two numbers together: 0.872 ∙ 6.3 = 5.4856 [[1]]

b) 30.42 : 7.8: To calculate the quotient of 30.42 divided by 7.8, divide these two numbers: 30.42 : 7.8 = 3.907 [[2]]

c) 1.6 ∙ 7.625: To calculate the product of 1.6 and 7.625, multiply these two numbers together: 1.6 ∙ 7.625 = 12.2 [[3]]

d) 0.702 : 0.065: To calculate the quotient of 0.702 divided by 0.065, divide these two numbers: 0.702 : 0.065 = 10.8 [[4]]

Equations:

a) 3.4x - 16.2 = 1.82: To solve this equation for x, we need to isolate x on one side of the equation. Let's start by adding 16.2 to both sides: 3.4x - 16.2 + 16.2 = 1.82 + 16.2 3.4x = 18.02 Next, divide both sides by 3.4 to solve for x: x = 18.02 / 3.4 x ≈ 5.3 [[5]]

b) 2.3y + 31 + 2.5y = 67: To solve this equation for y, we need to combine like terms and isolate y on one side of the equation. Let's start by combining the terms with y: 2.3y + 2.5y = 67 - 31 4.8y = 36 Next, divide both sides by 4.8 to solve for y: y = 36 / 4.8 y = 7.5 [[6]]

Rounding:

a) 3.062, 4.137, 6.455 rounded to the hundredths: To round these numbers to the hundredths place, we look at the digit in the thousandths place. If it is 5 or greater, we round up; if it is less than 5, we round down. - 3.062 rounded to the hundredths = 3.06 - 4.137 rounded to the hundredths = 4.14 - 6.455 rounded to the hundredths = 6.46 [[7]]

b) 5.86, 14.25, 30.22 rounded to the tenths: To round these numbers to the tenths place, we look at the digit in the hundredths place. If it is 5 or greater, we round up; if it is less than 5, we round down. - 5.86 rounded to the tenths = 5.9 - 14.25 rounded to the tenths = 14.3 - 30.22 rounded to the tenths = 30.2 [[8]]

c) 247.54, 376.37 rounded to the units: To round these numbers to the units place, we look at the digit in the tenths place. If it is 5 or greater, we round up; if it is less than 5, we round down. - 247.54 rounded to the units = 248 - 376.37 rounded to the units = 376 [[9]]

Expression Evaluation:

To evaluate the expression 296.2 – 2.7 ∙ 6.6 + 6 : 0.15, we follow the order of operations (PEMDAS/BODMAS): 1. First, perform the multiplication and division from left to right: - 2.7 ∙ 6.6 = 17.82 - 6 : 0.15 = 40 2. Next, perform the subtraction and addition from left to right: - 296.2 - 17.82 + 40 = 318.38 3. Finally, round the result to the tenths: - Rounded to the tenths = 318.4 [[10]]

Problem Solving:

Two pedestrians started walking towards each other from two different villages. The speed of the first pedestrian is 6.7 km/h, and the speed of the second pedestrian is 4.6 km/h. They met after 2 hours and 30 minutes. We need to find the distance between the villages.

To find the distance, we can use the formula: distance = speed × time.

Let's calculate the distance traveled by each pedestrian: - Distance traveled by the first pedestrian = 6.7 km/h × 2.5 hours = 16.75 km - Distance traveled by the second pedestrian = 4.6 km/h × 2.5 hours = 11.5 km

Since they met, the sum of their distances should be equal to the total distance between the villages. Therefore, the distance between the villages is: 16.75 km + 11.5 km = 28.25 km

So, the distance between the villages is approximately 28.25 km.