Problem 87 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 87

In the following exercises, add. $$26 + 59$$

Short Answer

Expert verified

Step by step solution

Write Down the Numbers

Place the numbers 26 and 59 vertically, aligning the digits according to their place value.

Add the Ones Place

Add the digits in the ones place: 6 (from 26) + 9 (from 59). The sum is 15. Write down the 5 and carry over the 1 to the tens place.

Add the Tens Place

Add the digits in the tens place along with the carried-over 1: 2 (from 26) + 5 (from 59) + 1 (carried over). The sum is 8.

Write the Final Answer

Combine the results from the ones and tens place. The final sum is 85.

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Key Concepts

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

headline of the respective core concept

Understanding the process of addition is vital in prealgebra. It begins with knowing the place value of each digit in a number. The place value tells us the position of a digit in the number and its corresponding value. Let's examine the number 26. Here, the '2' is in the tens place, meaning 20, and the '6' is in the ones place, meaning 6. For 59, '5' is in the tens place (50), and '9' is in the ones place (9). Knowing place values helps us organize the numbers properly when adding them vertically.

headline of the respective core concept

When adding numbers, especially larger ones, sometimes the sum of the digits in one column exceeds 9. In such cases, we perform a process called carrying over. For example, when adding the ones place of 26 and 59, we get 6 + 9 = 15. Here, we write down the '5' in the ones place of our result and carry over the '1' to the tens place. This extra '1' is then added to the digits in the tens place in the next step.

headline of the respective core concept

Addition is one of the basic arithmetic operations, which also include subtraction, multiplication, and division. These operations are foundational for more complex math concepts and real-world calculations. In the given example, the addition of 26 and 59 involves the following steps: First, align the numbers by their place values. Second, add the ones place digits (6 + 9) resulting in 15, write '5' and carry over '1'. Third, add the tens place digits (2 + 5) plus the carried-over '1', giving 8. Combining these results, we get the final answer of 85. Understanding these steps is critical for mastering basic arithmetic.

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91影视

In the following exercises, add. $$26 + 59$$

Short Answer

Step by step solution

Write Down the Numbers

Add the Ones Place

Add the Tens Place

Write the Final Answer

Key Concepts

headline of the respective core concept

headline of the respective core concept

headline of the respective core concept

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