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Toán 7 Kết Nối Tri Thức

Solutions to Grade 7 Math exercises Connect knowledge in full detail. Part 1 & 2 are like books for good study, helping students easily view and compare solutions from which they know how to do Math 7 Exercises are divided into two parts. In which Part 1 is described in this Article. Here, you can grab more knowledge of Part 1 as given below.

Toán 7 Kết Nối Tri Thức

Toán 7 Kết Nối Tri Thức: Solving Math Problems 7, episode 1, connecting knowledge | Prepare Math Problems 7 set 1 to connect knowledge.

Here, the lessons are arranged in the correct order of the textbook program. Each class is explicitly explained in detail from practice questions, requests, and exercises at the end of the lesson. Hopefully, helps you learn better in math grade 7, part 1, and connecting knowledge.


“Rate numbers” can refer to different things depending on the context. Without additional information, it’s challenging to provide a specific answer. Here are a few possible interpretations:

1. Interest Rate Numbers

Interest Rates

In finance, “rate numbers” could refer to interest rates. These percentages calculate interest on loans, savings accounts, or investments.

2. Exchange Rate Numbers

In foreign exchange, “rate numbers” could refer to currency exchange rates. These rates determine how one currency can exchanged for another.

3. Rate Numbers in Statistics

In statistics, “rate numbers” might refer to rates or ratios used to describe events or outcomes, such as birth rates, mortality rates, or infection rates.

4. Rate Numbers in Technology

In some technical contexts, “rate numbers” could describe data transmission rates or processing speeds.


  • To provide a more accurate answer, please
  • Solve problem 1 Set of rational numbers
  • Solve problem 2 Calculations with rational numbers
  • Solve problem 3 Powers with natural exponents of a reasonable number
  • General practice solution page 14
  • Solving problem 4 Order of performing calculations. Switching rules
  • General practice solution page 23
  • Solve the exercises at the end of chapter I, page 25

What are Real Numbers?

What are Real Numbers?

Real numbers are a central mathematical concept instead of a set of numbers that includes all rational and irrational numbers. Real numbers describe quantities in the real world and are essential to mathematics and science. Here are the critical components of real numbers:

1. Rational Numbers: Rational numbers are real numbers expressed as a fraction of two integers (whole numbers) where the denominator is not zero. For example, 1/2, -3/4, and 7 are rational numbers because they expressed as fraction.

2. Integers: Integers are real numbers that include all positive whole numbers, negative whole number, and zero. Examples of integers are -3, -2, -1, 0, 1, 2, 3, and so on.

3. Whole Numbers: Whole numbers are real numbers that include all positive integers and zero but exclude negative integers—examples of whole numbers are 0, 1, 2, 3, and so on.

4. Natural Numbers: Natural numbers are real numbers that consist of all positive integers. In other words, they start from 1 and go on indefinitely: 1, 2, 3, 4, and so on.


  • Get familiar with infinite repeating decimals – Solve problem 5
  • Irrational numbers. Arithmetic square root – Solve problem 6
  • Solve problem 7 Set of real numbers
  • General practice solution page 38
  • Solve the exercises at the end of chapter II, page 39
  • Solve problem 8 Angles in particular positions, bisectors of an angle
  • Two parallel lines and identification signs solve problem 9
  • General practice solution page 50
  • Solve problem 10 Euclid’s axioms, properties of two parallel lines
  • Solve problem 11 Theorem and prove the theorem
  • General practice solution page 58
  • Solve the exercises at the end of chapter III, page 59



Two triangles are considered equal or similar when their corresponding sides are of equal length, and their corresponding angles are of equal measure. In other words, if you can cover one triangle with the other so that all sides and angles match up, the two triangles are similar. You may refer to “equilateral triangles” rather than “equal triangles.” An equilateral triangle is a specific type of triangle described by its unique properties:

Equal Side Lengths: In an equilateral triangle, all three sides are of equal length. It means the lengths of sides AB, BC, and AC are identical, denoted as “a.”

Equal Angles: Each angle in an equilateral triangle is equal. All three curves are similar, measuring 60 degrees (°). This property makes equilateral triangles one of the regular polygons.

Symmetry: Equilateral triangles are highly symmetrical. They have three lines of symmetry, passing through each vertex and intersecting the opposite side.

Area: The area of an equilateral triangle is calculated using the formula A = (sqrt(3)/4) * a^2, where “A” represents the area and “a” is the length of one side.

Equilateral triangles have unique geometric properties, often used in mathematics and engineering. They also found in various art, design, and architecture backgrounds due to their aesthetic application and proportion.


  • The sum of angles in a triangle. Solve problem 12
  • Two triangles are equal. Solve problem 13
  • The first case of triangle equality General practice solution page 68
  • Solve problem 14, the second and third congruent cases of the triangle
  • General practice solution page 74
  • Congruent points of right triangles Solve problem 15
  • Isosceles triangle, the vertical bisector of line segment. Solve problem 16
  • General practice solution page 85
  • Page 87 Solve the exercises at the end of chapter IV.

Data Collection and Presentation

Data Collection and Presentation

Data collection and presentation are two crucial components of the data analysis process. They involve gathering information and effectively communicating it to make informed decisions or draw meaningful insights. Here’s an overview of these two aspects:

Define Objectives: Clearly define the objectives of your data collection. What questions do you want to answer or what problems are you trying to solve? Having a clear goal will guide your data collection efforts.

Select Data Sources: Determine where your data will come from. It could be from surveys, observations, existing databases, sensors, interviews, or other sources. Ensure that your data sources are reliable and relevant to your objectives.

Data Gathering: Collect the data according to your chosen methods. This may involve designing surveys, setting up sensors, conducting experiments, or accessing existing datasets. Pay attention to data quality and consistency.


  • Solve problem 17: Collect and classify data
  • Solve problem 18 Circular sector diagram
  • Solve problem 19 Line graph
  • General practice solution page 106
  • Solve the exercises at the end of chapter V, page 108
  • Solve exercises in other subjects


Most schools do not focus on the exercises to setting questions for an exam. The teachers like to pay attention to different types of questioning formats to assess the intellect and problem-solving skills of the students of Class 7. Learning various types of question formats for all chapters is beneficial earlier. You can do this by downloading the Important Questions for Class 7 Maths.

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