On the number line, 2 > –3 because 2 is farther right, showing a higher value. Similarly, –2 < 3 because –2 is left of 3, making it smaller. The number line visually represents integer comparisons, with numbers increasing as you move right and decreasing as you move left. This system helps comRead more
On the number line, 2 > –3 because 2 is farther right, showing a higher value. Similarly, –2 < 3 because –2 is left of 3, making it smaller. The number line visually represents integer comparisons, with numbers increasing as you move right and decreasing as you move left. This system helps compare positive and negative numbers clearly.
Here are the evaluated expressions: • (–5) + 0 = –5 (Adding zero keeps the same value). • 7 + (–7) = 0 (Opposites cancel each other). • (–10) + 20 = 10 (20 steps right from –10 reaches +10). • 10 – 20 = –10 (Moving 20 steps left from 10 reaches –10). • 7 – (–7) = 14 (Subtracting –7 is like adding +7Read more
Here are the evaluated expressions:
• (–5) + 0 = –5 (Adding zero keeps the same value).
• 7 + (–7) = 0 (Opposites cancel each other).
• (–10) + 20 = 10 (20 steps right from –10 reaches +10).
• 10 – 20 = –10 (Moving 20 steps left from 10 reaches –10).
• 7 – (–7) = 14 (Subtracting –7 is like adding +7).
• (–8) – (–10) = 2 (Moving 2 right from –10 reaches –8).
Subtraction can always be converted to addition by changing the sign of the number being subtracted. For example, 7 – (–3) becomes 7 + 3, giving 10. This works because subtracting a negative number means moving to the right on the number line, similar to adding a positive number. This rule simplifieRead more
Subtraction can always be converted to addition by changing the sign of the number being subtracted. For example, 7 – (–3) becomes 7 + 3, giving 10. This works because subtracting a negative number means moving to the right on the number line, similar to adding a positive number. This rule simplifies integer calculations, especially when working with negative values in mathematical expressions.
To add +5 and –8 using tokens, place 5 positive tokens and 8 negative tokens. Cancel out 5 positive and 5 negative tokens, as they form zero pairs. This leaves 3 negative tokens. Therefore, (+5) + (–8) = –3. The concept of zero pairs simplifies integer addition by removing equal positive and negativRead more
To add +5 and –8 using tokens, place 5 positive tokens and 8 negative tokens. Cancel out 5 positive and 5 negative tokens, as they form zero pairs. This leaves 3 negative tokens. Therefore, (+5) + (–8) = –3. The concept of zero pairs simplifies integer addition by removing equal positive and negative values, leaving only the remaining unmatched tokens.
To subtract –3 – (+5), think of it as adding 5 positive tokens to –3, since subtracting a positive number is like moving rightward on the number line. Adding 5 zero pairs to –3 cancels out 5 negatives and leaves –8. Therefore, –3 – (+5) = –8. The zero pairs cancel out the opposing values, and the reRead more
To subtract –3 – (+5), think of it as adding 5 positive tokens to –3, since subtracting a positive number is like moving rightward on the number line. Adding 5 zero pairs to –3 cancels out 5 negatives and leaves –8. Therefore, –3 – (+5) = –8. The zero pairs cancel out the opposing values, and the remaining tokens confirm the result. This process helps visualize subtraction of integers in terms of token movement.
Using tokens to evaluate: • (–3) – (+10) = –13 (Adding 10 positive tokens to –3 results in –13). • (+8) – (–7) = +15 (Adding 7 positive tokens to +8 gives +15). • (–5) – (+9) = –14 (Adding 9 positive tokens to –5 results in –14). Each subtraction process corresponds to either adding the inverse (posRead more
Using tokens to evaluate:
• (–3) – (+10) = –13 (Adding 10 positive tokens to –3 results in –13).
• (+8) – (–7) = +15 (Adding 7 positive tokens to +8 gives +15).
• (–5) – (+9) = –14 (Adding 9 positive tokens to –5 results in –14).
Each subtraction process corresponds to either adding the inverse (positive tokens for negative subtraction) or shifting the position on the number line, demonstrating integer subtraction.
A positive bank balance helps avoid overdraft fees, interest charges, and potential penalties from bounced checks. It allows you to make payments, purchases, and save for future needs. Furthermore, many banks offer interest on positive balances, which helps grow savings. A negative balance, however,Read more
A positive bank balance helps avoid overdraft fees, interest charges, and potential penalties from bounced checks. It allows you to make payments, purchases, and save for future needs. Furthermore, many banks offer interest on positive balances, which helps grow savings. A negative balance, however, may result in additional charges, reduce credit scores, and increase financial stress. Maintaining a positive balance provides stability and security, ensuring financial transactions are smoothly processed without complications.
In a geographical cross-section, the highest point is usually a mountain, plateau, or ridge above sea level, like the peaks of the Himalayas. The lowest point is typically a depression or valley, such as the Dead Sea or below sea level areas like the Mariana Trench. These elevations are significantRead more
In a geographical cross-section, the highest point is usually a mountain, plateau, or ridge above sea level, like the peaks of the Himalayas. The lowest point is typically a depression or valley, such as the Dead Sea or below sea level areas like the Mariana Trench. These elevations are significant in geography, as they represent extremes in the Earth’s surface. The height or depth is measured relative to sea level, the standard reference.
Is 2 > –3? Why? Is –2 < 3? Why?
On the number line, 2 > –3 because 2 is farther right, showing a higher value. Similarly, –2 < 3 because –2 is left of 3, making it smaller. The number line visually represents integer comparisons, with numbers increasing as you move right and decreasing as you move left. This system helps comRead more
On the number line, 2 > –3 because 2 is farther right, showing a higher value. Similarly, –2 < 3 because –2 is left of 3, making it smaller. The number line visually represents integer comparisons, with numbers increasing as you move right and decreasing as you move left. This system helps compare positive and negative numbers clearly.
For more NCERT Solutions for Class 6 Math Chapter 10 The Other Side of Zero Extra Questions and Answer:
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What are the results of expressions like –5 + 0, 7 + (–7), and others?
Here are the evaluated expressions: • (–5) + 0 = –5 (Adding zero keeps the same value). • 7 + (–7) = 0 (Opposites cancel each other). • (–10) + 20 = 10 (20 steps right from –10 reaches +10). • 10 – 20 = –10 (Moving 20 steps left from 10 reaches –10). • 7 – (–7) = 14 (Subtracting –7 is like adding +7Read more
Here are the evaluated expressions:
• (–5) + 0 = –5 (Adding zero keeps the same value).
• 7 + (–7) = 0 (Opposites cancel each other).
• (–10) + 20 = 10 (20 steps right from –10 reaches +10).
• 10 – 20 = –10 (Moving 20 steps left from 10 reaches –10).
• 7 – (–7) = 14 (Subtracting –7 is like adding +7).
• (–8) – (–10) = 2 (Moving 2 right from –10 reaches –8).
For more NCERT Solutions for Class 6 Math Chapter 10 The Other Side of Zero Extra Questions and Answer:
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Use the unmarked number line to evaluate expressions like –125 + (–30), +105 – (–55), and others.
Evaluating these expressions using an unmarked number line: • (–125) + (–30) = –155 (Moving 30 steps left from –125). • (+105) – (–55) = +160 (Subtracting –55 becomes adding +55). • (+80) – (–150) = +230 (Adding +150 to +80). • (–99) – (–200) = +101 (Subtracting –200 becomes adding +200). The unmarkRead more
Evaluating these expressions using an unmarked number line:
• (–125) + (–30) = –155 (Moving 30 steps left from –125).
• (+105) – (–55) = +160 (Subtracting –55 becomes adding +55).
• (+80) – (–150) = +230 (Adding +150 to +80).
• (–99) – (–200) = +101 (Subtracting –200 becomes adding +200).
The unmarked number line helps visualize these movements, simplifying integer operations using directional movement.
For more NCERT Solutions for Class 6 Math Chapter 10 The Other Side of Zero Extra Questions and Answer:
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Can you always convert subtraction to addition? How?
Subtraction can always be converted to addition by changing the sign of the number being subtracted. For example, 7 – (–3) becomes 7 + 3, giving 10. This works because subtracting a negative number means moving to the right on the number line, similar to adding a positive number. This rule simplifieRead more
Subtraction can always be converted to addition by changing the sign of the number being subtracted. For example, 7 – (–3) becomes 7 + 3, giving 10. This works because subtracting a negative number means moving to the right on the number line, similar to adding a positive number. This rule simplifies integer calculations, especially when working with negative values in mathematical expressions.
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/
Add +5 and –8 using tokens.
To add +5 and –8 using tokens, place 5 positive tokens and 8 negative tokens. Cancel out 5 positive and 5 negative tokens, as they form zero pairs. This leaves 3 negative tokens. Therefore, (+5) + (–8) = –3. The concept of zero pairs simplifies integer addition by removing equal positive and negativRead more
To add +5 and –8 using tokens, place 5 positive tokens and 8 negative tokens. Cancel out 5 positive and 5 negative tokens, as they form zero pairs. This leaves 3 negative tokens. Therefore, (+5) + (–8) = –3. The concept of zero pairs simplifies integer addition by removing equal positive and negative values, leaving only the remaining unmatched tokens.
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/
Evaluate differences using tokens. Check that you get the same result as with other methods.
Evaluating differences using tokens: • (+10) – (+7) = +3 (Remove 7 positive tokens from 10, leaving 3). • (–8) – (–4) = –4 (Subtracting a negative is like adding the positive equivalent). • (–9) – (–4) = –5 (Same as adding +4 to –9). • (+9) – (+12) = –3 (Removing 12 positive tokens from 9 leaves –3)Read more
Evaluating differences using tokens:
• (+10) – (+7) = +3 (Remove 7 positive tokens from 10, leaving 3).
• (–8) – (–4) = –4 (Subtracting a negative is like adding the positive equivalent).
• (–9) – (–4) = –5 (Same as adding +4 to –9).
• (+9) – (+12) = –3 (Removing 12 positive tokens from 9 leaves –3).
Using tokens visually confirms subtraction rules and ensures consistency with integer operations.
For more NCERT Solutions for Class 6 Math Chapter 10 The Other Side of Zero Extra Questions and Answer:
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Try to subtract: –3 – (+5). How many zero pairs will you have to put in? What is the result?
To subtract –3 – (+5), think of it as adding 5 positive tokens to –3, since subtracting a positive number is like moving rightward on the number line. Adding 5 zero pairs to –3 cancels out 5 negatives and leaves –8. Therefore, –3 – (+5) = –8. The zero pairs cancel out the opposing values, and the reRead more
To subtract –3 – (+5), think of it as adding 5 positive tokens to –3, since subtracting a positive number is like moving rightward on the number line. Adding 5 zero pairs to –3 cancels out 5 negatives and leaves –8. Therefore, –3 – (+5) = –8. The zero pairs cancel out the opposing values, and the remaining tokens confirm the result. This process helps visualize subtraction of integers in terms of token 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/
Evaluate the following using tokens. (–3) – (+10), (+8) – (–7).
Using tokens to evaluate: • (–3) – (+10) = –13 (Adding 10 positive tokens to –3 results in –13). • (+8) – (–7) = +15 (Adding 7 positive tokens to +8 gives +15). • (–5) – (+9) = –14 (Adding 9 positive tokens to –5 results in –14). Each subtraction process corresponds to either adding the inverse (posRead more
Using tokens to evaluate:
• (–3) – (+10) = –13 (Adding 10 positive tokens to –3 results in –13).
• (+8) – (–7) = +15 (Adding 7 positive tokens to +8 gives +15).
• (–5) – (+9) = –14 (Adding 9 positive tokens to –5 results in –14).
Each subtraction process corresponds to either adding the inverse (positive tokens for negative subtraction) or shifting the position on the number line, demonstrating integer subtraction.
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/
Why is it generally better to maintain a positive bank balance?
A positive bank balance helps avoid overdraft fees, interest charges, and potential penalties from bounced checks. It allows you to make payments, purchases, and save for future needs. Furthermore, many banks offer interest on positive balances, which helps grow savings. A negative balance, however,Read more
A positive bank balance helps avoid overdraft fees, interest charges, and potential penalties from bounced checks. It allows you to make payments, purchases, and save for future needs. Furthermore, many banks offer interest on positive balances, which helps grow savings. A negative balance, however, may result in additional charges, reduce credit scores, and increase financial stress. Maintaining a positive balance provides stability and security, ensuring financial transactions are smoothly processed without complications.
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/
Which points are highest and lowest in a geographical cross-section?
In a geographical cross-section, the highest point is usually a mountain, plateau, or ridge above sea level, like the peaks of the Himalayas. The lowest point is typically a depression or valley, such as the Dead Sea or below sea level areas like the Mariana Trench. These elevations are significantRead more
In a geographical cross-section, the highest point is usually a mountain, plateau, or ridge above sea level, like the peaks of the Himalayas. The lowest point is typically a depression or valley, such as the Dead Sea or below sea level areas like the Mariana Trench. These elevations are significant in geography, as they represent extremes in the Earth’s surface. The height or depth is measured relative to sea level, the standard reference.
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/