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Evaluate expressions like (+1) – (+4), (0) – (+2), (+4) – (+1), and others.
Let’s evaluate integer expressions: • (+1) – (+4) = –3 (1 is 3 less than 4) • (0) – (+2) = –2 (0 is 2 less than +2) • (+4) – (+1) = +3 (4 is 3 more than 1) • (0) – (–2) = +2 (Subtracting –2 is like adding +2) • (+4) – (–3) = +7 (Moving right 7 spaces from –3) These calculations follow integer rulesRead more
Let’s evaluate integer expressions:
• (+1) – (+4) = –3 (1 is 3 less than 4)
• (0) – (+2) = –2 (0 is 2 less than +2)
• (+4) – (+1) = +3 (4 is 3 more than 1)
• (0) – (–2) = +2 (Subtracting –2 is like adding +2)
• (+4) – (–3) = +7 (Moving right 7 spaces from –3)
These calculations follow integer rules on the number line.
For more NCERT Solutions for Class 6 Math Chapter 10 The Other Side of Zero Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
How many negative numbers are there in the mineshaft from –200 to +180?
In the mineshaft, negative numbers extend from –1 to –200. Since zero is neither positive nor negative, the total count of negative integers is 200. Negative integers decrease as they move farther from zero. Positive integers count from +1 to +180, while the ground floor is labeled 0. This numberingRead more
In the mineshaft, negative numbers extend from –1 to –200. Since zero is neither positive nor negative, the total count of negative integers is 200. Negative integers decrease as they move farther from zero. Positive integers count from +1 to +180, while the ground floor is labeled 0. This numbering system clearly shows levels above and below ground.
For more NCERT Solutions for Class 6 Math Chapter 10 The Other Side of Zero Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
What is the same as subtracting a negative number?
Subtracting a negative number is the same as adding its corresponding positive number. For instance, 7 – (–3) becomes 7 + 3, which equals 10. This follows the rule that two negatives make a positive in integer arithmetic. On the number line, subtracting –3 means moving rightward by 3, just like addiRead more
Subtracting a negative number is the same as adding its corresponding positive number. For instance, 7 – (–3) becomes 7 + 3, which equals 10. This follows the rule that two negatives make a positive in integer arithmetic. On the number line, subtracting –3 means moving rightward by 3, just like adding +3. This concept simplifies calculations involving negative integers.
For more NCERT Solutions for Class 6 Math Chapter 10 The Other Side of Zero Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
If, from 5, you wish to go over to 9, how far must you travel along the number line?
To travel from 5 to 9 on the number line, move 4 steps to the right, as 9 – 5 = 4. This positive movement represents moving forward in integer arithmetic. The number line shows this as moving from 5, passing 6, 7, and 8, and reaching 9. The difference of 4 indicates how far apart these integers are.Read more
To travel from 5 to 9 on the number line, move 4 steps to the right, as 9 – 5 = 4. This positive movement represents moving forward in integer arithmetic. The number line shows this as moving from 5, passing 6, 7, and 8, and reaching 9. The difference of 4 indicates how far apart these integers are. Moving rightward increases values, showing positive movement.
For more NCERT Solutions for Class 6 Math Chapter 10 The Other Side of Zero Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
State Newton’s shell theorem for the gravitational force.
This theorem explains the gravitational force exerted by a spherical shell or a solid sphere on a point mass. It can be summarized as follows: 1. Point Mass Outside a Uniform Spherical Shell If a point mass lies outside a spherical shell with a uniform mass distribution, the shell attracts the massRead more
This theorem explains the gravitational force exerted by a spherical shell or a solid sphere on a point mass. It can be summarized as follows:
1. Point Mass Outside a Uniform Spherical Shell
If a point mass lies outside a spherical shell with a uniform mass distribution, the shell attracts the mass as though its entire mass is concentrated at its center.
– Explanation: The gravitational forces from different parts of the shell have components both along and perpendicular to the line joining the mass to the center. The perpendicular components cancel out, leaving a net force directed towards the center of the shell.
2. Point Mass Inside a Uniform Spherical Shell
If a point mass lies inside a spherical shell, the net gravitational force on it is zero.
– Explanation: The forces exerted by different regions of the shell cancel each other out completely, resulting in no net gravitational force inside the shell.
3. Point Mass Inside a Homogeneous Solid Sphere
If a point mass lies inside a solid sphere, it experiences a gravitational force directed towards the center of the sphere. This force is proportional to the distance from the center.
– Explanation: Only the mass of the sphere that is inside the radius of the point mass contributes to the gravitational force. The mass outside the radius does not exert any net force on the point mass.
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