Students looking for guidance on solving exercises 2.13, 2.14... of the lesson Set of Real Numbers, refer to the document Grade 7 Math page 36 Volume 1 of the Knowledge Connection textbook. It provides detailed instructions, making it easy for students to understand the steps.
Refer to other math solving materials:
- Explore the complete set of Grade 7 math solutions from the Knowledge Connection textbook
- Solve Grade 7 Math page 49, 50 from Volume 1 of the Creative Horizon textbook - Exercise 1: Rectangular Prism - Cube
- Solve Grade 7 Math page 51 from Volume 1 of the Kite textbook - Exercise 4. Rounding Numbers and Estimation
Grade 7 Math page 36 Volume 1 of the Knowledge Connection textbook
Set of Real Numbers
1. Solve Exercise 2.13 Page 36 Math Book Grade 7
Guidance for solving:
Step 1: Identify rational and irrational numbers in set A
+ Finite decimal numbers, infinite recurring decimal numbers are rational numbers.
+ Infinite non-recurring decimal numbers are irrational numbers.
Step 2: Describe the set by enumeration: List the elements within the braces { }, each element listed once, order arbitrary; elements separated by semicolons.
We have:
2. Solve Exercise 2.14 Page 36 Math Book Grade 7
Problem: Let A' be the set of opposites of the numbers belonging to set A in exercise 2.13. List the elements of A'.
Guidance for solving:
The opposite of a real number a is -a.
Answer:
3. Solve Exercise 2.15 Page 36 Math Book Grade 7
Problem: What real numbers do points A, B, C, D represent in the following figure?
Guidance for solving:
Count the number of divisions on 1 unit.
Find the number represented by points A, B, C, D.
Answer:
4. Solve Exercise 2.16 Page 36 Math Book Grade 7
Problem: Calculate:
Guidance for solving:
The absolute value of a number is always non-negative, equal to the distance from that number to the origin O
Answer:
5. Solve Exercise 2.17 Page 36 Math Book Grade 7
Problem: Determine the absolute value of each of the following numbers:
Guidance for solving:
Answer:
We have:
6. Solve Exercise 2.18 Page 36 Math Book Grade 7
Problem: Find all real numbers x satisfying the condition |x| = 2.5.
Guidance for solving:
The absolute value of a number equals the distance from that number to the origin O.
Answer:
Real numbers x satisfying the condition |x| = 2.5 are real numbers with a distance from that number to the origin O equal to 2.5.
These are 2 numbers -2.5 and 2.5 located on both sides of the origin O and at a distance of 2.5 units from the origin O.
The real numbers x satisfying the condition |x| = 2.5 are -2.5 and 2.5.
We hope that through the document Solving Grade 7 Math page 36 from Volume 1 of the Knowledge Connection textbook, students can effectively solve math problems, complete exercises, and reinforce their knowledge.
Next Exercise:
- Solve Grade 7 Math page 38 Volume 1 of the Knowledge Connection textbook - Focus practice on page 38
- Solve Grade 7 Math page 39 Volume 1 of the Knowledge Connection textbook - End of chapter 2 exercises