Question

Add the whole numbers with carrying. $$\begin{array}{r} 38 \\ +77 \\ \hline \end{array}$$

   Add the whole numbers with carrying.
$$\begin{array}{r}
38 \\
+77 \\
\hline
\end{array}$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 1, Problem 22

Instant Answer

Solved by Expert Michelle Nguyen

07/25/2020

Step 1

8 + 7 = 15. Write down the 5 and carry the 1 to the tens place. $$\begin{array}{c@{}c@{}c@{}c} & & \stackrel{1}{} & \stackrel{}{8} \\ & & 3 & 7 \\ + & & 7 & 7 \\ \hline & & & 5 \\ \end{array}$$ Show more…

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Add the whole numbers with carrying. $$\begin{array}{r} 38 \\ +77 \\ \hline \end{array}$$

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Key Concepts

Whole Numbers

Whole numbers are the non-negative integers that include 0, 1, 2, 3, and so on. They represent complete, countable quantities and form the basis for many arithmetic operations, including addition.

Place Value

The place value system is a method of representing numbers where each digit in a number has a specific value based on its position. In base-10 arithmetic, each position represents a power of 10, which is essential for understanding how to properly align digits for addition.

Columnar Addition

Columnar addition is a technique used to add multi-digit numbers by writing them in columns according to their place values. This method makes it easy to add corresponding digits from each number, starting from the least significant digit (ones) and moving towards the most significant digit.

Carrying (Regrouping)

Carrying, or regrouping, is a process used during addition when the sum of digits in a given column exceeds the base (10 in our decimal system). The excess is carried over to the next higher place value column, ensuring that the final sum correctly reflects the addition of each digit's value.

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