The smallest number with a digit sum of 14 is 59. The two digits, 5 and 9, add up to 14, meeting the requirement. Smaller numbers cannot meet this condition, as single-digit sums are below 14. Larger two-digit combinations like 68 or 77 work but are numerically greater. This highlights how minimal dRead more
The smallest number with a digit sum of 14 is 59. The two digits, 5 and 9, add up to 14, meeting the requirement. Smaller numbers cannot meet this condition, as single-digit sums are below 14. Larger two-digit combinations like 68 or 77 work but are numerically greater. This highlights how minimal digit values fulfilling the sum criteria define the smallest solution.
The largest 5-digit number whose digit sum equals 14 is 99,950. Its digits (9, 9, 9, 5, and 0) add up to 14, making it the greatest possible value that meets the condition. By placing the largest digits in higher place values, the number is maximized. Smaller combinations or rearrangements like 90,0Read more
The largest 5-digit number whose digit sum equals 14 is 99,950. Its digits (9, 9, 9, 5, and 0) add up to 14, making it the greatest possible value that meets the condition. By placing the largest digits in higher place values, the number is maximized. Smaller combinations or rearrangements like 90,005, while valid, fall short in magnitude, demonstrating efficient use of digit placement.
The largest number with a digit sum of 14 is 99,950. Rearranging these digits won't yield a greater number because the highest digits (9) occupy the most significant positions. Adding more digits to the number, like turning it into a 6-digit value, would necessitate smaller individual digits to mainRead more
The largest number with a digit sum of 14 is 99,950. Rearranging these digits won’t yield a greater number because the highest digits (9) occupy the most significant positions. Adding more digits to the number, like turning it into a 6-digit value, would necessitate smaller individual digits to maintain the sum, reducing the overall magnitude. Thus, 99,950 remains the maximum achievable value under the condition.
Between 40 and 70, digit sums incrementally grow, beginning at 4 for 40 and peaking at 13 for 67. Odd numbers tend to have higher sums because the last digit increases sequentially (e.g., 41 = 5, 43 = 7). Numbers ending in 9 (like 49, 59, 69) exhibit the largest sums in their respective decades. TheRead more
Between 40 and 70, digit sums incrementally grow, beginning at 4 for 40 and peaking at 13 for 67. Odd numbers tend to have higher sums because the last digit increases sequentially (e.g., 41 = 5, 43 = 7). Numbers ending in 9 (like 49, 59, 69) exhibit the largest sums in their respective decades. The pattern reveals consistent growth and symmetry based on simple addition rules.
For three-digit numbers with consecutive digits, sums include 6 for 123, 9 for 234, and 12 for 345. Each step adds 3 because the digits uniformly increase. For instance, the difference between 123 (1+2+3) and 234 (2+3+4) is consistent. This pattern holds indefinitely since consecutive digits followRead more
For three-digit numbers with consecutive digits, sums include 6 for 123, 9 for 234, and 12 for 345. Each step adds 3 because the digits uniformly increase. For instance, the difference between 123 (1+2+3) and 234 (2+3+4) is consistent. This pattern holds indefinitely since consecutive digits follow a fixed sequence, illustrating arithmetic progression in digit sums across three-digit numbers.
In Table 2, the largest number is 96,301. This value qualifies as the biggest since it is greater than all its neighbors in the same row and column. Following the table's conditions, this ensures that only the colored cells have the largest numbers in their respective neighborhoods, highlighting theRead more
In Table 2, the largest number is 96,301. This value qualifies as the biggest since it is greater than all its neighbors in the same row and column. Following the table’s conditions, this ensures that only the colored cells have the largest numbers in their respective neighborhoods, highlighting the use of strategic placement of digits like ‘9,’ ‘6,’ ‘3,’ ‘0,’ and ‘1.’
Numbers play a vital role in our daily lives. We use them for counting items, measuring distances, or weights, telling time on clocks, calculating costs, and identifying addresses or phone numbers. Numbers are crucial in sports scores, data analysis, and scientific research. For instance, we use numRead more
Numbers play a vital role in our daily lives. We use them for counting items, measuring distances, or weights, telling time on clocks, calculating costs, and identifying addresses or phone numbers. Numbers are crucial in sports scores, data analysis, and scientific research. For instance, we use numbers to gauge temperature, calculate grocery bills, or determine age. These examples highlight how numbers simplify, organize, and make communication and decision-making more accurate and efficient.
No, the children cannot rearrange themselves so that the children at the ends say '2'. In this activity, a child at the end only has one neighbor. For the child to say '2', they must have two taller neighbors. This arrangement isn't possible because the end position inherently limits the number of nRead more
No, the children cannot rearrange themselves so that the children at the ends say ‘2’. In this activity, a child at the end only has one neighbor. For the child to say ‘2’, they must have two taller neighbors. This arrangement isn’t possible because the end position inherently limits the number of neighbors to one. This is a key aspect of the problem’s constraints and emphasizes the importance of position in determining these numbers.
It’s not possible to arrange the children in a line so that all say '0'. For a child to say '0', neither neighbor can be taller. However, since the children have varying heights, at least one child will always be taller than their neighbors. This height difference means some children will always havRead more
It’s not possible to arrange the children in a line so that all say ‘0’. For a child to say ‘0’, neither neighbor can be taller. However, since the children have varying heights, at least one child will always be taller than their neighbors. This height difference means some children will always have taller neighbors, preventing an arrangement where every child says ‘0’.
Yes, two children can stand next to each other and say the same number. For example, two children of similar height surrounded by taller or shorter neighbors can say '0', '1', or '2'. The specific number depends on their relative positions and the heights of their neighbors. This demonstrates that tRead more
Yes, two children can stand next to each other and say the same number. For example, two children of similar height surrounded by taller or shorter neighbors can say ‘0’, ‘1’, or ‘2’. The specific number depends on their relative positions and the heights of their neighbors. This demonstrates that the arrangement affects individual numbers but doesn’t necessarily make them unique for all children.
What is the smallest number whose digit sum is 14?
The smallest number with a digit sum of 14 is 59. The two digits, 5 and 9, add up to 14, meeting the requirement. Smaller numbers cannot meet this condition, as single-digit sums are below 14. Larger two-digit combinations like 68 or 77 work but are numerically greater. This highlights how minimal dRead more
The smallest number with a digit sum of 14 is 59. The two digits, 5 and 9, add up to 14, meeting the requirement. Smaller numbers cannot meet this condition, as single-digit sums are below 14. Larger two-digit combinations like 68 or 77 work but are numerically greater. This highlights how minimal digit values fulfilling the sum criteria define the smallest solution.
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
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What is the largest 5-digit whose digit sum is 14?
The largest 5-digit number whose digit sum equals 14 is 99,950. Its digits (9, 9, 9, 5, and 0) add up to 14, making it the greatest possible value that meets the condition. By placing the largest digits in higher place values, the number is maximized. Smaller combinations or rearrangements like 90,0Read more
The largest 5-digit number whose digit sum equals 14 is 99,950. Its digits (9, 9, 9, 5, and 0) add up to 14, making it the greatest possible value that meets the condition. By placing the largest digits in higher place values, the number is maximized. Smaller combinations or rearrangements like 90,005, while valid, fall short in magnitude, demonstrating efficient use of digit placement.
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
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How big a number can you form having the digit sum 14? Can you make an even bigger number?
The largest number with a digit sum of 14 is 99,950. Rearranging these digits won't yield a greater number because the highest digits (9) occupy the most significant positions. Adding more digits to the number, like turning it into a 6-digit value, would necessitate smaller individual digits to mainRead more
The largest number with a digit sum of 14 is 99,950. Rearranging these digits won’t yield a greater number because the highest digits (9) occupy the most significant positions. Adding more digits to the number, like turning it into a 6-digit value, would necessitate smaller individual digits to maintain the sum, reducing the overall magnitude. Thus, 99,950 remains the maximum achievable value under the condition.
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
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Find out the digit sums of all the numbers from 40 to 70. Share your observations with the class.
Between 40 and 70, digit sums incrementally grow, beginning at 4 for 40 and peaking at 13 for 67. Odd numbers tend to have higher sums because the last digit increases sequentially (e.g., 41 = 5, 43 = 7). Numbers ending in 9 (like 49, 59, 69) exhibit the largest sums in their respective decades. TheRead more
Between 40 and 70, digit sums incrementally grow, beginning at 4 for 40 and peaking at 13 for 67. Odd numbers tend to have higher sums because the last digit increases sequentially (e.g., 41 = 5, 43 = 7). Numbers ending in 9 (like 49, 59, 69) exhibit the largest sums in their respective decades. The pattern reveals consistent growth and symmetry based on simple addition rules.
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-3/
Calculate the digit sums of 3-digit numbers whose digits are consecutive (for example, 345). Do you see a pattern? Will this pattern continue?
For three-digit numbers with consecutive digits, sums include 6 for 123, 9 for 234, and 12 for 345. Each step adds 3 because the digits uniformly increase. For instance, the difference between 123 (1+2+3) and 234 (2+3+4) is consistent. This pattern holds indefinitely since consecutive digits followRead more
For three-digit numbers with consecutive digits, sums include 6 for 123, 9 for 234, and 12 for 345. Each step adds 3 because the digits uniformly increase. For instance, the difference between 123 (1+2+3) and 234 (2+3+4) is consistent. This pattern holds indefinitely since consecutive digits follow a fixed sequence, illustrating arithmetic progression in digit sums across three-digit numbers.
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
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The biggest number in the table is ____________ .
In Table 2, the largest number is 96,301. This value qualifies as the biggest since it is greater than all its neighbors in the same row and column. Following the table's conditions, this ensures that only the colored cells have the largest numbers in their respective neighborhoods, highlighting theRead more
In Table 2, the largest number is 96,301. This value qualifies as the biggest since it is greater than all its neighbors in the same row and column. Following the table’s conditions, this ensures that only the colored cells have the largest numbers in their respective neighborhoods, highlighting the use of strategic placement of digits like ‘9,’ ‘6,’ ‘3,’ ‘0,’ and ‘1.’
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
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Think about various situations where we use numbers. List five different situations in which numbers are used. See what your classmates have listed, share, and discuss.
Numbers play a vital role in our daily lives. We use them for counting items, measuring distances, or weights, telling time on clocks, calculating costs, and identifying addresses or phone numbers. Numbers are crucial in sports scores, data analysis, and scientific research. For instance, we use numRead more
Numbers play a vital role in our daily lives. We use them for counting items, measuring distances, or weights, telling time on clocks, calculating costs, and identifying addresses or phone numbers. Numbers are crucial in sports scores, data analysis, and scientific research. For instance, we use numbers to gauge temperature, calculate grocery bills, or determine age. These examples highlight how numbers simplify, organize, and make communication and decision-making more accurate and efficient.
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-3/
Try answering the questions below and share your reasoning: Can the children rearrange themselves so that the children standing at the ends say ‘2’?
No, the children cannot rearrange themselves so that the children at the ends say '2'. In this activity, a child at the end only has one neighbor. For the child to say '2', they must have two taller neighbors. This arrangement isn't possible because the end position inherently limits the number of nRead more
No, the children cannot rearrange themselves so that the children at the ends say ‘2’. In this activity, a child at the end only has one neighbor. For the child to say ‘2’, they must have two taller neighbors. This arrangement isn’t possible because the end position inherently limits the number of neighbors to one. This is a key aspect of the problem’s constraints and emphasizes the importance of position in determining these numbers.
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-3/
Can we arrange the children in a line so that all would say only 0s?
It’s not possible to arrange the children in a line so that all say '0'. For a child to say '0', neither neighbor can be taller. However, since the children have varying heights, at least one child will always be taller than their neighbors. This height difference means some children will always havRead more
It’s not possible to arrange the children in a line so that all say ‘0’. For a child to say ‘0’, neither neighbor can be taller. However, since the children have varying heights, at least one child will always be taller than their neighbors. This height difference means some children will always have taller neighbors, preventing an arrangement where every child says ‘0’.
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-3/
Can two children standing next to each other say the same number?
Yes, two children can stand next to each other and say the same number. For example, two children of similar height surrounded by taller or shorter neighbors can say '0', '1', or '2'. The specific number depends on their relative positions and the heights of their neighbors. This demonstrates that tRead more
Yes, two children can stand next to each other and say the same number. For example, two children of similar height surrounded by taller or shorter neighbors can say ‘0’, ‘1’, or ‘2’. The specific number depends on their relative positions and the heights of their neighbors. This demonstrates that the arrangement affects individual numbers but doesn’t necessarily make them unique for all children.
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-3/