High School

a) 2772 - 116
b) 2829 - 123

Multiplication tables:

1 x 116, 10 x 116
2 x 116, 20 x 116
3 x 116, 30 x 116
4 x 116, 40 x 116
5 x 116, 50 x 116
6 x 116, 60 x 116
7 x 116, 70 x 116
8 x 116, 80 x 116
9 x 116, 90 x 116

1 x 123, 10 x 123
2 x 123, 20 x 123
3 x 123, 30 x 123
4 x 123, 40 x 123
5 x 123, 50 x 123
6 x 123, 60 x 123
7 x 123, 70 x 123
8 x 123, 80 x 123
9 x 123, 90 x 123

Answer :

Let's break down and solve the problems given in the question step by step.

(a) 2772 - 116

To subtract 116 from 2772, follow these steps:

  1. Align the numbers vertically, ensuring that each number's ones, tens, and hundreds places are lined up.

    [
    \begin{array}{c}
    \quad 2772 \

-\quad 116 \
\hline
\end{array}
]

  1. Subtract the digits in each column starting from the right:

    • Ones: 2 (from 2772) - 6 (from 116) cannot be done. Borrow 1 from the tens column:

      New ones: [tex](12) - 6 = 6[/tex]

    • Tens: 6 (from 2772 after borrowing) - 1 (from 116) = 5

    • Hundreds: 7 (from 2772) - 1 (from 116) = 6

    • Thousands: 2 (from 2772) with nothing to subtract remains 2.

  2. Complete the subtraction:

    [tex]\begin{array}{c}
    2656
    \end{array}[/tex]

So, 2772 - 116 = 2656.

(b) 2829 - 123

For this subtraction, follow a similar process:

  1. Align the numbers vertically:

    [
    \begin{array}{c}
    \quad 2829 \

-\quad 123 \
\hline
\end{array}
]

  1. Subtract the digits starting from the right:

    • Ones: 9 (from 2829) - 3 (from 123) = 6

    • Tens: 2 (from 2829) - 2 (from 123) = 0

    • Hundreds: 8 (from 2829) - 1 (from 123) = 7

    • Thousands: 2 (from 2829) with nothing to subtract remains 2.

  2. Complete the subtraction:

    [tex]\begin{array}{c}
    2706
    \end{array}[/tex]

Thus, 2829 - 123 = 2706.

These problems demonstrate basic subtraction skills and are helpful in reinforcing an understanding of number operations. Practicing such problems further develops speed and accuracy with arithmetic.

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