if i have a hundred chart to find all the 2 digit numbers in which the sum of the digits equals 10 how many numbers did i write what pattern do i have
19, 91, 28,82, 37,73, ....
Here's a number chart.
http://www.apples4theteacher.com/math/games/100-number-chart-one.html
How many numbers can you find whose digits add up to 10.
I'll start you out -- 19, 28, 37, etc.
How to use digit 3,5,7 to make two three -digit numbers with the greatest possible sum ?
To find all the 2-digit numbers in which the sum of the digits equals 10 using a hundred chart, follow these steps:
1. Start by examining the numbers from 10 to 99 on the hundred chart.
2. Identify the numbers that have their digits adding up to 10. For example, 19 has the digits 1 and 9, which sum up to 10.
3. Write down all the numbers you find that satisfy this condition.
To determine how many numbers you wrote, you need to find the total count. Here's the breakdown:
1. Start with the numbers in the "tens" place:
- Numbers with the tens place of 1: 19, 28, 37, 46, 55, 64, 73, 82, 91. (9 numbers)
- Numbers with the tens place of 2: 29, 38, 47, 56, 65, 74, 83, 92. (8 numbers)
- Numbers with the tens place of 3: 39, 48, 57, 66, 75, 84, 93. (7 numbers)
- Numbers with the tens place of 4: 49, 58, 67, 76, 85, 94. (6 numbers)
- Numbers with the tens place of 5: 59, 68, 77, 86, 95. (5 numbers)
- Numbers with the tens place of 6: 69, 78, 87, 96. (4 numbers)
- Numbers with the tens place of 7: 79, 88, 97. (3 numbers)
- Numbers with the tens place of 8: 89, 98. (2 numbers)
- Numbers with the tens place of 9: 99. (1 number)
2. Take the sum of the counts from each tens place: 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45.
Therefore, you would have written down a total of 45 numbers.
As for the pattern, you can observe the following:
- The number of digits adds up to 10.
- Starting from the number 10, the chart proceeds in order, but when it reaches a number with a digit sum of 10, it jumps to the next tens place.
- Each tens place follows a decreasing pattern because the remaining ones place digit must decrease by 1.
For example:
- Starting from 10, the next number with a digit sum of 10 is 19.
- From 19, the next number is 28, as the ones place decreased by 1.
- Continuing this pattern, the next number is 37, and so on.
This pattern continues until the end of the chart.