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Chapter 4: Problem 7

Add. $$ 20.0124+30.0124 $$

Short Answer

Expert verified
50.0248

Step by step solution

01

Align the numbers by the decimal point

Write the numbers one below the other, making sure to align them by the decimal point: 20.0124+30.0124
02

Add the digits column by column from right to left

Starting from the rightmost column (the thousandth place), add the digits in each column: 4 + 4 = 8,2 + 2 = 4,1 + 1 = 2,0 + 0 = 0,Next, add the whole numbers:0 + 0 = 0,2 + 3 = 5. Therefore, the sum is 50.0248.

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Key Concepts

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

Aligning Decimal Points
When adding decimals, aligning the decimal points is crucial to ensure accurate calculation. This means placing the decimal points directly beneath each other when writing the numbers in a vertical column. For example, to add 20.0124 and 30.0124, you would write:

20.0124
+ 30.0124

This alignment allows you to add digits in the same place value, reducing the risk of mistakes.
Column Addition
After aligning the decimal points, use column addition to solve the problem. Column addition means adding each digit within the same column, starting from the rightmost digit. Here鈥檚 how it works for our example:

1. Add the digits in the thousandth places: 4 + 4 = 8.
2. Move to the hundredth place: 2 + 2 = 4.
3. Next, add the digits in the tenth place: 1 + 1 = 2.
4. Then, the digits in the unit place: 0 + 0 = 0.
5. Finally, add whole numbers: 2 + 3 = 5.

The completed sum, written column by column, is 50.0248.
Decimal Places
Decimal places refer to the digits that appear after the decimal point. In our exercise, both numbers have four decimal places. Keeping track of decimal places ensures you capture the precision of the numbers you鈥檙e working with. For example, in 20.0124 and 30.0124, the numbers have digits up to the fourth decimal place (thousandth place).

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