Example 1:
2 + 22 + 222= ?
The result of the addition is 2 + 22 + 222 = 246
Shortcut steps:
Step 1: Take 2 Common and Replace all 2 with 1.
2( 1 + 11 + 111 )
Step 2: Count the number of digits in each number.
i.e, 1 = 1 (digit), 11 = 2 (digit), 111 = 3 (digit) and write down all digits together that is 123.
Step 3: Multiply 2 * 123 = 246.
The final result is 246.
Example 2:
6 + 66 + 666 + 6666 + 66666 = ?
The result of the addition is 6 + 66 + 666 + 6666 + 66666 = 74070.
Shortcut steps:
Step 1: Take 6 Common and Replace all 6 with 1.
6( 1 + 11 + 111 + 1111 + 11111 )
Step 2: Count the number of digits in each number.
i.e, 1 = 1 (digit), 11 = 2 (digit), 111 = 3 (digit), 1111 = 4 (digit), 11111 = 5 (digit) and write down all digits together that is 12345.
Step 3: Multiply 6 * 12345 = 74070.
The final result is 74070.
Example 3:
8 + 88 + 888 + 8888 + 88888 + 888888 = ?
The result of the addition 8 + 88 + 888 + 8888 + 88888 + 888888 = 987648.
Shortcut steps:
Step 1: Take 8 Common and Replace all 8 with 1.
8( 1 + 11 + 111 + 1111 + 11111 + 111111 )
Step 2: Count the number of digits in each number.
i.e, 1 = 1 (digit), 11 = 2 (digit), 111 = 3 (digit), 1111 = 4 (digit), 11111 = 5 (digit), 111111 = 6 (digit) and write down all digits together that is 123456.
Step 3: Multiply 8 * 123456 = 987648.
The final result is 987648.
Example 4:
9 + 99 + 999 + 9999 + 99999 + 999999 + 9999999 = ?
The result of the addition 9 + 99 + 999 + 9999 + 99999 + 999999 + 9999999= 11111103.
Shortcut steps:
Step 1: Take 9 Common and Replace all 9 with 1.
9( 1 + 11 + 111 + 1111 + 11111 + 111111 + 1111111 )
Step 2: Count number of digits in each number.
i.e, 1 = 1 (digit), 11 = 2 (digit), 111 = 3 (digit), 1111 = 4 (digit), 11111 = 5 (digit), 111111 = 6 (digit), 1111111 = 7 (digit) and write down all digits together that is 1234567.
Step 3: Multiply 9 * 1234567 = 11111103.
The final result is 11111103.
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