High School

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------------------------------------------------ Use long division to calculate:

\[ 4,350 \div 173 \]

Answer :

To solve the problem of calculating [tex]4,350 + 173[/tex] using long division is a bit of confusion, as long division is a method used for division, not addition. However, I will demonstrate how to carry out this addition.

Let's calculate step-by-step:

  1. Align the Numbers:

    We'll write the numbers vertically with their digits aligned by place value:

    [\begin{array}{r}
    ,\quad 173 \

  • \ 4,350 \
    \hline
    \end{array}]

  1. Add the Numbers Column by Column:

    • Start from the right (units column):

      • 0 + 3 = 3
    • Move to the tens column:

      • 5 + 7 = 12
      • Write down 2 and carry over 1 to the hundreds column.
    • Move to the hundreds column:

      • 3 + 1 (the carried over 1) = 4
      • 4 + 1 (from 173) = 5
    • Thousands column:

      • 4 (from 4,350) + 0 = 4

    After adding each column, your numbers should now appear as follows:

    [\begin{array}{r}
    ,\quad; 173 \

    • \ 4,350 \
      \hline
      ,, 4,523 \
      \end{array}]

The result of adding [tex]4,350 + 173[/tex] is [tex]4,523[/tex].

This problem demonstrates basic addition using a technique that organizes numbers by place value, ensuring accurate results. Even though long division wasn't required, this addition shows how to handle combining large numerals effectively.