Problem 86 Find each sum or difference. $... [FREE SOLUTION]

Chapter 2: Problem 86

Find each sum or difference. $$18+29+46$$

Short Answer

Expert verified

The sum of 18, 29, and 46 is 93.

Step by step solution

Add the first two numbers

First, we add the numbers 18 and 29. We align the numbers by their place values and add each column starting from the rightmost digit. $ \begin{array}{c} \, \, \, 1\ \,18 \ +29 \ \hline \,47 \end{array}$So, 18 + 29 = 47.

Add the result to the third number

Now, take the result from step 1, which is 47, and add it to the next number, 46.$ \begin{array}{c} \, \, \, 1\ \,47 \ +46 \ \hline \,93 \end{array}$So, 47 + 46 = 93.

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Key Concepts

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

Understanding Addition

Addition is one of the basic arithmetic operations that we perform every day. It helps us combine numbers to find their total or sum.
When we talk about addition, we usually start with single digits, but gradually, we work with larger numbers, like those in our problem: 18, 29, and 46. When adding these, each number is known as an 'addend', and the answer we get is referred to as the 'sum'. Understanding how to add correctly is crucial, not just in math classes but in everyday situations like shopping or cooking.

Start by lining up the numbers you want to add.
Add numbers starting from the rightmost digit (the ones place) to the left.
If the sum of the digits in a column exceeds 9, carry the extra value over to the next higher place value.

The Importance of Place Value

Place value represents the position of each digit in a number. Knowing place values is essential for adding multi-digit numbers accurately.
In our exercise, each number like 18, 29, and 46 has two digits: tens and ones. Each digit has a different value based on its position. For instance, in the number 18, '1' is in the tens place, which equals 10, while '8' is in the ones place, signifying just 8.
Understanding place value makes it easier for us to align numbers when adding, ensuring we don't mix up tens and ones. It also helps us correctly carry over any extra value from one column to the next when needed, just like we did in our solution.

Step-by-Step Solution Explained

Breaking down problems into manageable steps helps avoid mistakes and makes solving math problems easier.
In our exercise:

**Step 1:** We added the numbers 18 and 29. We began by aligning them by their place values. First, add the digits in the ones column (8 + 9 = 17). Since 17 is two digits, we carry over '1' to the tens column. Now, add the tens digits (1 + 2 + 1 = 4), making the sum 47.
**Step 2:** We took the sum from step 1, which is 47, and added it to 46. Again, starting with the ones column (7 + 6 = 13), we carry over one. Adding the tens digits (4 + 4 + 1 = 9) gives us 93.

Each step builds on the previous, ensuring that we accurately carry and align values correctly 鈥� leading us to the final correct sum of 93.

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91影视

Find each sum or difference. $$18+29+46$$

Short Answer

Step by step solution

Add the first two numbers

Add the result to the third number

Key Concepts

Understanding Addition

The Importance of Place Value

Step-by-Step Solution Explained

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