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Chapter 5: Problem 96

In the following exercises, add or subtract. $$18.37+9.36$$

Short Answer

Expert verified
The sum is 27.73.

Step by step solution

01

- Align the numbers

Write the numbers 18.37 and 9.36 in a column, aligning the decimal points.
02

- Add the decimal places

Add the numbers in the hundredths place: 7 + 6 = 13. Write down 3 and carry over 1.
03

- Add the tenths place

Add the numbers in the tenths place plus the carried-over 1: 3 + 3 + 1 = 7.
04

- Add the units place

Add the numbers in the units place: 8 + 9 = 17. Write down 7 and carry over 1.
05

- Add the tens place

Add the numbers in the tens place plus the carried-over 1: 1 + 1 = 2.
06

- Combine the results

Combine the results from each place to get the final answer.

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Key Concepts

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

Step-by-Step Math Solutions
Understanding how to solve an addition problem step by step makes the process simpler and clearer.
Here鈥檚 a quick guide to follow:
- Align the numbers vertically, ensuring the decimal points are lined up.
- Start adding from the rightmost digit (hundredths place) to the leftmost digit (tens place).
- At each step, if the sum exceeds 9, carry over the extra value to the next column.
- Finally, combine all the results to obtain the final answer.
Remember, practicing step-by-step solutions can help you become more confident with math problems.
Decimal Place Value
When adding decimal numbers, it is crucial to understand the place value of each digit.
Decimal numbers are structured as follows:
- The first digit to the left of the decimal point is the units place.
- The first digit to the right of the decimal point is the tenths place.
- The second digit to the right of the decimal point is the hundredths place.
In addition, always keep the decimal points aligned to ensure that you are adding the correct place values together.
For example, aligning 18.37 and 9.36 makes sure that each digit in the hundredths, tenths, and units places add up properly.
Carrying Over in Addition
Carrying over is essential when adding numbers that sum to 10 or more in a given place value.
Here鈥檚 how it鈥檚 done:
- Start from the rightmost digits and add them up.
- If the sum is 10 or more, write down the rightmost digit of the sum and carry over the left digit to the next left column.
- Continue this process for each place value until all digits are added.
For instance, in the exercise: Adding 7 (hundredths place) + 6 gives 13. You write down 3 and carry over 1.
Repeating this for each column ensures the final sum is correct, considering any value to be carried over.

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