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Grade 7 Math Workbook Page 28 of Knowledge Connection Textbook is a valuable resource for 7th-grade students to excel in Math. Each exercise is explained in great detail, enabling students to solve exercises effortlessly while understanding the concepts taught in class.
Explore more Math solving resources:
- Check out the complete set of Grade 7 Math Workbook of Knowledge Connection Textbook
- Grade 7 Math Workbook Page 42 of Creative Horizon Textbook - Exercise 3: Rounding numbers and estimating results
- Grade 7 Math Workbook Page 42 of Kite Textbook - Exercise 2. Set R of real numbers
Grade 7 Math Workbook Page 28 of Knowledge Connection Textbook
Getting Familiar with Infinite Repeating Decimal Fractions
1. Solve Exercise 2.1 Page 28 Math Workbook Grade 7
Problem Statement: Among the following decimal numbers, which are terminating decimals? Which are infinite repeating decimals?
0.1; −1,(23); 11.2(3); −6,725
Solution Guide:
Decimal numbers containing a cycle are infinite repeating decimals.
Answer:
The decimal numbers that are terminating are: 0.1; -6,725.
The infinite repeating decimal numbers are: -1,(23); 11,2(3).
2. Solve Exercise 2.2 Page 28 Mathematics Workbook Grade 7
Problem Statement: Using cycles, simplify the infinite repeating decimal number 0.010101....
Guidance for solving:
Decimal numbers containing an infinitely repeated digit are cycles of infinite repeating decimal numbers.
Answer:
We have: 0,010101.... = 0,(01)
3. Solve Exercise 2.3 Page 28 Mathematics Workbook Grade 7
Problem Statement: Find the fifth decimal digit of the number 3.2(31) and round the number 3.2(31) to the fifth decimal digit
Guidance for solving:
Decimal numbers containing an infinitely repeated digit are cycles of infinite repeating decimal numbers.
Round according to the decimal rounding rules.
- For the rounding digit:
+ Keep unchanged if the digit immediately to the right is less than 5;
+ Increase by 1 if the digit immediately to the right is greater than or equal to 5.
- For the digit after the rounding digit:
+ Remove if in the decimal part;
+ Substitute with zeros if in the integer part.
Answer:
We have: 3.2(31) = 3.2313131....
The fifth decimal digit of the number 3.2(31) is 1.
Since the digit immediately following the fifth decimal digit of the given number is 3, which is less than 5, rounding the number 3.2(31) to the fifth decimal digit yields 3.23131.
4. Solve Exercise 2.4 Page 28 Mathematics Workbook Grade 7
Problem Statement: Is the number 0.1010010001000010...(repeated concatenation of numbers 10, 100, 1,000, 10,000, after the decimal point) an infinite repeating decimal or not?
Guidance for solving:
Infinite repeating decimal numbers are decimal numbers with the decimal part containing a digit repeated infinitely.
Answer:
The number 0.1010010001000010... is not an infinite repeating decimal because there is no digit repeated infinitely.
5. Solving Exercise 2.5 Page 28 Mathematics Workbook Grade 7
Problem Statement: Round the number 3.14159...
a) to the third decimal digit;
b) with an accuracy of 0.005.
Instructions:
Round according to the decimal rounding rules.
- For rounding digit:
+ Keep unchanged if the digit immediately to the right is less than 5;
+ Increase by 1 if the digit immediately to the right is greater than or equal to 5.
- For the digit after the rounding digit:
+ Discard if in the decimal part;
+ Replace with zeros if in the integer part.
Hope the Grade 7 Mathematics Workbook Page 28 from the Knowledge Connection textbook proves helpful to you, aiding in swiftly and accurately solving homework exercises.
Next Exercises:
- Grade 7 Mathematics Workbook Page 32 from the Knowledge Connection textbook - Exercise 6: Irrational numbers. Square root arithmetic
- Grade 7 Mathematics Workbook Page 36 from the Knowledge Connection textbook - Exercise 7: Set of real numbers
