
Тема дроби. 5 класс. Какую часть составляют:а)9 см² о квадратного дециметра;б)17 дм³ от кубического метра;в) 13 кг от 2 ц.


Ответы на вопрос

б) 1 куб. м = 1000 куб. дм. Ответ: 17/1000
в) 1 ц = 100 кг. Ответ: 13/200



2 17/1000
3 13/20
я обожаю эту тему



Fractions in 5th Grade Math
In 5th grade math, students learn about fractions and how to represent and compare them. They also learn how to perform basic operations with fractions, such as addition, subtraction, multiplication, and division. Let's answer your specific questions about fractions.
a) 9 cm² of a square decimeter
To determine what fraction 9 cm² represents in terms of a square decimeter, we need to understand the relationship between centimeters and square decimeters.
1 square decimeter (dm²) is equal to 100 square centimeters (cm²). Therefore, we can set up a proportion to find the fraction:
1 dm² = 100 cm²
Let's find the fraction that represents 9 cm² in terms of a square decimeter:
9 cm² / 100 cm² = x dm² / 1 dm²
Cross-multiplying, we get:
9 dm² = 100 cm² * x dm²
Simplifying, we find:
9 dm² = 100x dm²
Dividing both sides by 100, we get:
9/100 = x
Therefore, 9 cm² represents 9/100 or 0.09 square decimeters.
b) 17 dm³ of a cubic meter
To determine what fraction 17 dm³ represents in terms of a cubic meter, we need to understand the relationship between cubic decimeters and cubic meters.
1 cubic meter (m³) is equal to 1000 cubic decimeters (dm³). Therefore, we can set up a proportion to find the fraction:
1 m³ = 1000 dm³
Let's find the fraction that represents 17 dm³ in terms of a cubic meter:
17 dm³ / 1000 dm³ = x m³ / 1 m³
Cross-multiplying, we get:
17 m³ = 1000 dm³ * x m³
Simplifying, we find:
17 m³ = 1000x m³
Dividing both sides by 1000, we get:
17/1000 = x
Therefore, 17 dm³ represents 17/1000 or 0.017 cubic meters.
c) 13 kg of 2 centners
To determine what fraction 13 kg represents in terms of 2 centners, we need to understand the relationship between centners and kilograms.
1 centner is equal to 100 kilograms. Therefore, we can set up a proportion to find the fraction:
1 centner = 100 kg
Let's find the fraction that represents 13 kg in terms of 2 centners:
13 kg / 100 kg = x centners / 2 centners
Cross-multiplying, we get:
13 centners = 100 kg * x centners
Simplifying, we find:
13 centners = 100x centners
Dividing both sides by 100, we get:
13/100 = x
Therefore, 13 kg represents 13/100 or 0.13 centners.
I hope this helps! Let me know if you have any further questions.


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