Problem 88 In the following exercises, add.... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 1: Problem 88

In the following exercises, add. $$38 + 17$$

Short Answer

Expert verified

Step by step solution

Write the Numbers Vertically

Write the numbers one below the other, aligning them by their rightmost digits: \[ \begin{array}{c} 38 \ + 17 \ \hline \ \end{array} \]

Add the Units Column

Add the digits in the units column (8 + 7). \[ 8 + 7 = 15 \] Write down the 5 and carry over the 1 to the tens column.

Add the Tens Column

Add the digits in the tens column (3 + 1) and include the carried over 1. \[ 3 + 1 + 1 = 5 \]

Write the Final Answer

Combine the results from the units and tens columns. The final sum is: \[ 38 + 17 = 55 \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Adding Numbers

Adding numbers involves finding their total or sum. This is a basic arithmetic operation, crucial for everyday calculations. Let's break down the process using the example 38 + 17.

To add these numbers, follow a systematic approach:

Start by adding the digits in the units column (ones place).
Next, add the digits in the tens column.
Combine the results to get the final sum.

In our example, we began by adding 8 (from 38) and 7 (from 17) to get 15. Then, we added the tens digits along with the carried over number. Following these simple steps ensures you don't miss any part of the calculation process.

Carrying Over

Carrying over is a technique used in addition when the sum of digits in a column exceeds 9. This method ensures correct handling of sums by transferring the excess value to the next column. Let's illustrate this with our example 38 + 17.

First, add the units column: 8 + 7 = 15.
Since 15 is a two-digit number, write down the 5 and carry over the 1 to the tens column.
Next, add the tens column: 3 + 1 + 1 (carried over) = 5.

The final sum is 55. The carrying over step is crucial, as it ensures the correct value is transferred to the following higher place value.

Vertical Addition

Vertical addition is a method where numbers are written one below the other. This format makes it easier to align and add the corresponding place values. In our example, we illustrate vertical addition using 38 + 17.

Write 38 above 17, making sure to align the digits by their place values: units over units, tens over tens.
Start adding from the rightmost column (the units column) and move leftward.
Deal with carrying over if the column sum exceeds 9, as explained earlier.

Writing numbers vertically simplifies the addition process and helps to keep track of carries. It is especially helpful for adding multiple-digit numbers.

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91影视

In the following exercises, add. $$38 + 17$$

Short Answer

Step by step solution

Write the Numbers Vertically

Add the Units Column

Add the Tens Column

Write the Final Answer

Key Concepts

Adding Numbers

Carrying Over

Vertical Addition

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