Natural numbers are not closed under the operation of subtraction because the result of subtracting one natural number from another is not always a natural number itself. For instance, subtracting a smaller number from a larger one like 5 minus 2 gives 3, which is a natural number. However, reversinRead more
Natural numbers are not closed under the operation of subtraction because the result of subtracting one natural number from another is not always a natural number itself. For instance, subtracting a smaller number from a larger one like 5 minus 2 gives 3, which is a natural number. However, reversing the order to 2 minus 5 results in negative 3. Since negative numbers are integers and not natural numbers, closure does not hold true.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):
Each of the four fingers has three distinct joints, allowing you to count up to 12 on a single hand by using your thumb as a pointer to touch each joint. This practical method is the foundation of ancient base-12 counting systems, known as duodecimal systems. It explains why historical cultures settRead more
Each of the four fingers has three distinct joints, allowing you to count up to 12 on a single hand by using your thumb as a pointer to touch each joint. This practical method is the foundation of ancient base-12 counting systems, known as duodecimal systems. It explains why historical cultures settled on twelve as a primary mathematical grouping, which influenced modern measurements like twelve inches in a foot and twelve hours on a clock face.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):
The recorded temperature at noon in the high-altitude desert of Ladakh starts at 4 degrees Celsius. To find the new temperature after a drop of 15 degrees Celsius by midnight, we must subtract 15 from the initial value. Setting up the arithmetic expression gives 4 minus 15. Calculating this integerRead more
The recorded temperature at noon in the high-altitude desert of Ladakh starts at 4 degrees Celsius. To find the new temperature after a drop of 15 degrees Celsius by midnight, we must subtract 15 from the initial value. Setting up the arithmetic expression gives 4 minus 15. Calculating this integer operation yields a final value of -11. Therefore, the temperature at midnight is -11 degrees Celsius.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):
We can represent financial transactions using signed integers where debts and losses are negative, and profits are positive. The trader starts with a loan of -850 rupees, adds a profit of +1200 rupees, and adds a loss of -450 rupees. The complete sequence forms the integer equation -850 + 1200 - 450Read more
We can represent financial transactions using signed integers where debts and losses are negative, and profits are positive. The trader starts with a loan of -850 rupees, adds a profit of +1200 rupees, and adds a loss of -450 rupees. The complete sequence forms the integer equation -850 + 1200 – 450. Adding the numbers together gives 350 – 450, which equals -100. His final financial standing is a net debt of 100 rupees.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):
I think easels means stands used by painters because the passage talks about artists placing canvases on them while painting. I think tonal range means different shades of colours because students experiment with hues and shades. I think portrait means a picture of a person because the painter captuRead more
I think easels means stands used by painters because the passage talks about artists placing canvases on them while painting. I think tonal range means different shades of colours because students experiment with hues and shades. I think portrait means a picture of a person because the painter captures his friend’s features. I think underpainting means the first layer of paint before final colours are added. I think mural means a large wall painting because it is painted on the classroom wall.
For more NCERT Solutions for Class 9 English Kaveri Chapter 3 Canvas of Soil Extra Questions & Answer:
We know that Natural Numbers are closed under addition (the sum of any two natural numbers is always a natural number). Are they closed under subtraction? Provide a couple of examples to justify your answer.
Natural numbers are not closed under the operation of subtraction because the result of subtracting one natural number from another is not always a natural number itself. For instance, subtracting a smaller number from a larger one like 5 minus 2 gives 3, which is a natural number. However, reversinRead more
Natural numbers are not closed under the operation of subtraction because the result of subtracting one natural number from another is not always a natural number itself. For instance, subtracting a smaller number from a larger one like 5 minus 2 gives 3, which is a natural number. However, reversing the order to 2 minus 5 results in negative 3. Since negative numbers are integers and not natural numbers, closure does not hold true.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-3/
See lessAncient Indians used the joints of their fingers to count, a practice still seen today. Each finger has 3 joints, and the thumb is used to count them. How many can you count on one hand? How does this relate to the ancient base-12 counting systems?
Each of the four fingers has three distinct joints, allowing you to count up to 12 on a single hand by using your thumb as a pointer to touch each joint. This practical method is the foundation of ancient base-12 counting systems, known as duodecimal systems. It explains why historical cultures settRead more
Each of the four fingers has three distinct joints, allowing you to count up to 12 on a single hand by using your thumb as a pointer to touch each joint. This practical method is the foundation of ancient base-12 counting systems, known as duodecimal systems. It explains why historical cultures settled on twelve as a primary mathematical grouping, which influenced modern measurements like twelve inches in a foot and twelve hours on a clock face.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-3/
See lessThe temperature in the high-altitude desert of Ladakh is recorded as 4 °C at noon. By midnight, it drops by 15 °C. What is the midnight temperature?
The recorded temperature at noon in the high-altitude desert of Ladakh starts at 4 degrees Celsius. To find the new temperature after a drop of 15 degrees Celsius by midnight, we must subtract 15 from the initial value. Setting up the arithmetic expression gives 4 minus 15. Calculating this integerRead more
The recorded temperature at noon in the high-altitude desert of Ladakh starts at 4 degrees Celsius. To find the new temperature after a drop of 15 degrees Celsius by midnight, we must subtract 15 from the initial value. Setting up the arithmetic expression gives 4 minus 15. Calculating this integer operation yields a final value of -11. Therefore, the temperature at midnight is -11 degrees Celsius.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-3/
See lessA spice trader takes a loan (debt) of rupees 850. The next day, he makes a profit (fortune) of rupees 1,200. The following week, he incurs a loss of rupees 450. Write this sequence as an equation using integers and calculate his final financial standing.
We can represent financial transactions using signed integers where debts and losses are negative, and profits are positive. The trader starts with a loan of -850 rupees, adds a profit of +1200 rupees, and adds a loss of -450 rupees. The complete sequence forms the integer equation -850 + 1200 - 450Read more
We can represent financial transactions using signed integers where debts and losses are negative, and profits are positive. The trader starts with a loan of -850 rupees, adds a profit of +1200 rupees, and adds a loss of -450 rupees. The complete sequence forms the integer equation -850 + 1200 – 450. Adding the numbers together gives 350 – 450, which equals -100. His final financial standing is a net debt of 100 rupees.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 3 The world of numbers (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-3/
See lessYou have studied painting-related words like palette, brushstrokes, shades, hue, colours and canvas. Now, read the following paragraph and discuss in pairs what the underlined painting-related words might mean. Discuss this way: I think ____________ means ____________ because the passage talks about ____________. Example: I think portrait means a picture of someone’s face because the passage talks about capturing a friend’s features. In the art studio, young painters eagerly approached their easels, each framing a canvas that they had to work on. The teacher encouraged them to experiment with a diverse tonal range, playing with shades and hues to bring their paintings to life. One student focused on a detailed portrait, capturing his friend’s features, first with careful underpainting and then filling the final colours. Another student worked on a mural, depicting a Spring Day on the right wall of the classroom. The room continued to buzz with artistic energy.
I think easels means stands used by painters because the passage talks about artists placing canvases on them while painting. I think tonal range means different shades of colours because students experiment with hues and shades. I think portrait means a picture of a person because the painter captuRead more
I think easels means stands used by painters because the passage talks about artists placing canvases on them while painting. I think tonal range means different shades of colours because students experiment with hues and shades. I think portrait means a picture of a person because the painter captures his friend’s features. I think underpainting means the first layer of paint before final colours are added. I think mural means a large wall painting because it is painted on the classroom wall.
For more NCERT Solutions for Class 9 English Kaveri Chapter 3 Canvas of Soil Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-9/english/kaveri-chapter-3/
See less