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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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To multiply mentally by 111, follow these steps:

• Write the last digit of the number.
• Add the last digit to the digit on its left; write the last digit of the sum and carry if necessary.
• Add the last digit to the digit on its left and to the next digit on its left; add the carry from the previous steps. Write the last digit of the sum and carry if necessary.
• Move one digit to the left and add the two digits on its left. Add any carry. Write and carry.
• Continue moving one digit to the left until the end of the number.

Example:

24 × 111 =

 Write the 4 4 Add 4 and 2. 4 + 2 = 6. 64 Add 4 and 2 and 0. 4 + 2 + 0 = 6 64 Move to the 2. Add 2 and 0 and 0. 2 + 0 + 0 = 2 2664

24 × 111 = 2664

Example:

453 × 111 =

 Write the 3. 3 Add 3 and 5. 3 + 5 = 8 83 Add 3 and 5 and 4. 3 + 5 + 4 = 12 283 (carry 1) Move to the 5. Add 5 and 4 and 0 and the carry. 5 + 4 + 0 + 1 = 10 0283 (carry 1) Move to the 4. Add 4 and 0 and 0 and the carry. 4 + 0 + 0 + 1 = 5 50283

453 × 111 = 50283 