The diagonals of a rectangle cannot be considered lines of symmetry because they fail to divide the shape into congruent halves. When a rectangle is folded along a diagonal, the resulting triangles have different side lengths, preventing them from overlapping perfectly. This contrasts with squares,Read more
The diagonals of a rectangle cannot be considered lines of symmetry because they fail to divide the shape into congruent halves. When a rectangle is folded along a diagonal, the resulting triangles have different side lengths, preventing them from overlapping perfectly. This contrasts with squares, where diagonals are symmetry lines due to equal side lengths. Thus, a rectangle has only vertical and horizontal lines of symmetry, reflecting its less symmetrical nature compared to a square.
When a whole chikki is divided into six equal parts in different ways, the pieces might appear in varying shapes, but their sizes remain the same. This is because dividing a whole into equal parts ensures equal proportions. Each piece, whether triangular, square, or any other shape, represents 1/6 oRead more
When a whole chikki is divided into six equal parts in different ways, the pieces might appear in varying shapes, but their sizes remain the same. This is because dividing a whole into equal parts ensures equal proportions. Each piece, whether triangular, square, or any other shape, represents 1/6 of the whole chikki. The key is that the division is equal, ensuring no disparity in the size of the parts, despite any difference in shape.
Continuing the table of 1/2: • 2 times 1/2 equals 2/2, or 1 whole. • 3 times 1/2 equals 3/2, an improper fraction. Next steps: • 4 times 1/2 equals 4/2, which simplifies to 2 wholes. • 5 times 1/2 equals 5/2, another improper fraction. The progression illustrates how multiplying 1/2 by increasing inRead more
Continuing the table of 1/2:
• 2 times 1/2 equals 2/2, or 1 whole.
• 3 times 1/2 equals 3/2, an improper fraction.
Next steps:
• 4 times 1/2 equals 4/2, which simplifies to 2 wholes.
• 5 times 1/2 equals 5/2, another improper fraction.
The progression illustrates how multiplying 1/2 by increasing integers adds more halves, converting fractions into wholes or mixed numbers as the numerator exceeds the denominator.
The fraction of each piece of chikki depends on how the whole is divided. For example, if the whole chikki is divided into three equal parts, each piece represents 1/3 of the whole. Similarly, for divisions into four equal parts, each represents 1/4, and so on. The size of each fraction is determineRead more
The fraction of each piece of chikki depends on how the whole is divided. For example, if the whole chikki is divided into three equal parts, each piece represents 1/3 of the whole. Similarly, for divisions into four equal parts, each represents 1/4, and so on. The size of each fraction is determined by the denominator, representing the total number of parts. As long as the division is equal, the corresponding fractions accurately depict the portions of the whole chikki.
A similar table for 1/4 is as follows: • 1/4 (one part out of four). • 2 times 1/4 equals 2/4, simplifying to 1/2. • 3 times 1/4 equals 3/4, representing three parts. • 4 times 1/4 equals 4/4, or 1 whole. • 5 times 1/4 equals 5/4, an improper fraction. The table shows a clear progression as the numeRead more
A similar table for 1/4 is as follows:
• 1/4 (one part out of four).
• 2 times 1/4 equals 2/4, simplifying to 1/2.
• 3 times 1/4 equals 3/4, representing three parts.
• 4 times 1/4 equals 4/4, or 1 whole.
• 5 times 1/4 equals 5/4, an improper fraction.
The table shows a clear progression as the numerator increases, turning fractions into mixed numbers when the numerator exceeds the denominator.
To make 1/3, fold a paper strip into three equal parts. Each section represents 1/3 of the whole. To create 1/6, take one of the 1/3 sections and fold it into two equal parts. This results in 1/6, as the original 1/3 is divided into two smaller sections. This method demonstrates how folding transforRead more
To make 1/3, fold a paper strip into three equal parts. Each section represents 1/3 of the whole. To create 1/6, take one of the 1/3 sections and fold it into two equal parts. This results in 1/6, as the original 1/3 is divided into two smaller sections. This method demonstrates how folding transforms fractions, dividing them into smaller units while maintaining equal proportions of the whole strip.
The blue line’s length depends on the division of the unit. Suppose the unit is divided into 5 equal parts, and the blue line spans 3 of those parts. In that case, its length is represented by the fraction 3/5. This fraction signifies that the blue line occupies three out of the total five equal secRead more
The blue line’s length depends on the division of the unit. Suppose the unit is divided into 5 equal parts, and the blue line spans 3 of those parts. In that case, its length is represented by the fraction 3/5. This fraction signifies that the blue line occupies three out of the total five equal sections of the unit, visually representing a portion of the whole. This method ensures precise measurement and representation of fractional lengths.
To represent the fractions 1/10, 3/10, and 4/5 on a number line: • Divide the line between 0 and 1 into 10 equal parts. • Mark 1/10 after the first segment, 3/10 after the third segment, and 4/5 after the eighth segment, as 4/5 equals 8/10. This method accurately places fractions on a number line, eRead more
To represent the fractions 1/10, 3/10, and 4/5 on a number line:
• Divide the line between 0 and 1 into 10 equal parts.
• Mark 1/10 after the first segment, 3/10 after the third segment, and 4/5 after the eighth segment, as 4/5 equals 8/10.
This method accurately places fractions on a number line, ensuring proportional representation of lengths. Each fraction reflects its position relative to the total number of equal parts.
To represent five fractions on a number line, select 1/4, 2/4, 3/4, 1/8, and 7/8. For 1/4, 2/4, and 3/4, divide the number line into four equal sections, marking them at 1/4, 2/4 (1/2), and 3/4. For 1/8 and 7/8, divide another section into eight equal parts, marking these fractions accordingly. EachRead more
To represent five fractions on a number line, select 1/4, 2/4, 3/4, 1/8, and 7/8. For 1/4, 2/4, and 3/4, divide the number line into four equal sections, marking them at 1/4, 2/4 (1/2), and 3/4. For 1/8 and 7/8, divide another section into eight equal parts, marking these fractions accordingly. Each fraction is positioned based on its numerator and denominator, showcasing accurate proportions relative to the unit.
The number of fractions between 0 and 1 is infinite. For example, dividing a unit into two equal parts gives 1/2, three parts give 1/3, and four parts give 1/4. As the denominator increases, new fractions emerge, creating finer divisions. Additionally, equivalent fractions like 2/4 or 3/6 fit betweeRead more
The number of fractions between 0 and 1 is infinite. For example, dividing a unit into two equal parts gives 1/2, three parts give 1/3, and four parts give 1/4. As the denominator increases, new fractions emerge, creating finer divisions. Additionally, equivalent fractions like 2/4 or 3/6 fit between 0 and 1, enriching the range. The concept demonstrates the limitless potential of fractional representation within any interval, showing the infinite nature of fractions.
Can a rectangle’s diagonals be considered lines of symmetry? Why or why not?
The diagonals of a rectangle cannot be considered lines of symmetry because they fail to divide the shape into congruent halves. When a rectangle is folded along a diagonal, the resulting triangles have different side lengths, preventing them from overlapping perfectly. This contrasts with squares,Read more
The diagonals of a rectangle cannot be considered lines of symmetry because they fail to divide the shape into congruent halves. When a rectangle is folded along a diagonal, the resulting triangles have different side lengths, preventing them from overlapping perfectly. This contrasts with squares, where diagonals are symmetry lines due to equal side lengths. Thus, a rectangle has only vertical and horizontal lines of symmetry, reflecting its less symmetrical nature compared to a square.
For more NCERT Solutions for Class 6 Math Chapter 9 Symmetry Extra Questions and Answer:
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By dividing the whole chikki into 6 equal parts in different ways, we get 1/6 chikki pieces of different shapes. Are they of the same size?
When a whole chikki is divided into six equal parts in different ways, the pieces might appear in varying shapes, but their sizes remain the same. This is because dividing a whole into equal parts ensures equal proportions. Each piece, whether triangular, square, or any other shape, represents 1/6 oRead more
When a whole chikki is divided into six equal parts in different ways, the pieces might appear in varying shapes, but their sizes remain the same. This is because dividing a whole into equal parts ensures equal proportions. Each piece, whether triangular, square, or any other shape, represents 1/6 of the whole chikki. The key is that the division is equal, ensuring no disparity in the size of the parts, despite any difference in shape.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
Continue this table of 1/2 for 2 more steps.
Continuing the table of 1/2: • 2 times 1/2 equals 2/2, or 1 whole. • 3 times 1/2 equals 3/2, an improper fraction. Next steps: • 4 times 1/2 equals 4/2, which simplifies to 2 wholes. • 5 times 1/2 equals 5/2, another improper fraction. The progression illustrates how multiplying 1/2 by increasing inRead more
Continuing the table of 1/2:
• 2 times 1/2 equals 2/2, or 1 whole.
• 3 times 1/2 equals 3/2, an improper fraction.
Next steps:
• 4 times 1/2 equals 4/2, which simplifies to 2 wholes.
• 5 times 1/2 equals 5/2, another improper fraction.
The progression illustrates how multiplying 1/2 by increasing integers adds more halves, converting fractions into wholes or mixed numbers as the numerator exceeds the denominator.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
The figures below show different fractional units of a whole chikki. How much of a whole chikki is each piece?
The fraction of each piece of chikki depends on how the whole is divided. For example, if the whole chikki is divided into three equal parts, each piece represents 1/3 of the whole. Similarly, for divisions into four equal parts, each represents 1/4, and so on. The size of each fraction is determineRead more
The fraction of each piece of chikki depends on how the whole is divided. For example, if the whole chikki is divided into three equal parts, each piece represents 1/3 of the whole. Similarly, for divisions into four equal parts, each represents 1/4, and so on. The size of each fraction is determined by the denominator, representing the total number of parts. As long as the division is equal, the corresponding fractions accurately depict the portions of the whole chikki.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
Can you create a similar table for 1/4?
A similar table for 1/4 is as follows: • 1/4 (one part out of four). • 2 times 1/4 equals 2/4, simplifying to 1/2. • 3 times 1/4 equals 3/4, representing three parts. • 4 times 1/4 equals 4/4, or 1 whole. • 5 times 1/4 equals 5/4, an improper fraction. The table shows a clear progression as the numeRead more
A similar table for 1/4 is as follows:
• 1/4 (one part out of four).
• 2 times 1/4 equals 2/4, simplifying to 1/2.
• 3 times 1/4 equals 3/4, representing three parts.
• 4 times 1/4 equals 4/4, or 1 whole.
• 5 times 1/4 equals 5/4, an improper fraction.
The table shows a clear progression as the numerator increases, turning fractions into mixed numbers when the numerator exceeds the denominator.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
Make 1/3 using a paper strip. Can you use this to also make 1/6.
To make 1/3, fold a paper strip into three equal parts. Each section represents 1/3 of the whole. To create 1/6, take one of the 1/3 sections and fold it into two equal parts. This results in 1/6, as the original 1/3 is divided into two smaller sections. This method demonstrates how folding transforRead more
To make 1/3, fold a paper strip into three equal parts. Each section represents 1/3 of the whole. To create 1/6, take one of the 1/3 sections and fold it into two equal parts. This results in 1/6, as the original 1/3 is divided into two smaller sections. This method demonstrates how folding transforms fractions, dividing them into smaller units while maintaining equal proportions of the whole strip.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
What is the length of the blue line? Write the fraction that gives the length of the blue line in the box?
The blue line’s length depends on the division of the unit. Suppose the unit is divided into 5 equal parts, and the blue line spans 3 of those parts. In that case, its length is represented by the fraction 3/5. This fraction signifies that the blue line occupies three out of the total five equal secRead more
The blue line’s length depends on the division of the unit. Suppose the unit is divided into 5 equal parts, and the blue line spans 3 of those parts. In that case, its length is represented by the fraction 3/5. This fraction signifies that the blue line occupies three out of the total five equal sections of the unit, visually representing a portion of the whole. This method ensures precise measurement and representation of fractional lengths.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
On a number line, draw lines of lengths 1/10, 3/10, and 4/5.
To represent the fractions 1/10, 3/10, and 4/5 on a number line: • Divide the line between 0 and 1 into 10 equal parts. • Mark 1/10 after the first segment, 3/10 after the third segment, and 4/5 after the eighth segment, as 4/5 equals 8/10. This method accurately places fractions on a number line, eRead more
To represent the fractions 1/10, 3/10, and 4/5 on a number line:
• Divide the line between 0 and 1 into 10 equal parts.
• Mark 1/10 after the first segment, 3/10 after the third segment, and 4/5 after the eighth segment, as 4/5 equals 8/10.
This method accurately places fractions on a number line, ensuring proportional representation of lengths. Each fraction reflects its position relative to the total number of equal parts.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
Write five more fractions of your choice and mark them on the number line.
To represent five fractions on a number line, select 1/4, 2/4, 3/4, 1/8, and 7/8. For 1/4, 2/4, and 3/4, divide the number line into four equal sections, marking them at 1/4, 2/4 (1/2), and 3/4. For 1/8 and 7/8, divide another section into eight equal parts, marking these fractions accordingly. EachRead more
To represent five fractions on a number line, select 1/4, 2/4, 3/4, 1/8, and 7/8. For 1/4, 2/4, and 3/4, divide the number line into four equal sections, marking them at 1/4, 2/4 (1/2), and 3/4. For 1/8 and 7/8, divide another section into eight equal parts, marking these fractions accordingly. Each fraction is positioned based on its numerator and denominator, showcasing accurate proportions relative to the unit.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
How many fractions lie between 0 and 1? Think, discuss with your classmates, and write your answer.
The number of fractions between 0 and 1 is infinite. For example, dividing a unit into two equal parts gives 1/2, three parts give 1/3, and four parts give 1/4. As the denominator increases, new fractions emerge, creating finer divisions. Additionally, equivalent fractions like 2/4 or 3/6 fit betweeRead more
The number of fractions between 0 and 1 is infinite. For example, dividing a unit into two equal parts gives 1/2, three parts give 1/3, and four parts give 1/4. As the denominator increases, new fractions emerge, creating finer divisions. Additionally, equivalent fractions like 2/4 or 3/6 fit between 0 and 1, enriching the range. The concept demonstrates the limitless potential of fractional representation within any interval, showing the infinite nature of fractions.
For more NCERT Solutions for Class 6 Math Chapter 7 Fractions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/