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Chapter 5: Problem 95

In the following exercises, add or subtract. $$16.92+7.56$$

Short Answer

Expert verified
24.48

Step by step solution

01

Write down the numbers

Write the numbers 16.92 and 7.56. Align them by their decimal points.
02

Add the numbers

Add the numbers column by column starting from the rightmost digit. If the sum of a column exceeds 9, remember to carry over the extra value to the next column to the left.
03

Final Calculation

Adding the numbers gives you 24.48.

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Key Concepts

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

Decimal Addition
To add decimals, start by writing the numbers one below the other. Make sure to align them by the decimal points. This helps keep the place value of each digit in place. For example, in the exercise, you write 16.92 and 7.56 so the decimals are vertically aligned. Next, add starting from the rightmost column, which is the hundredths place here. If the sum of a column exceeds 9, carry over the extra value to the next column on the left. For instance, adding 2 (hundredths place in 16.92) and 6 (hundredths place in 7.56) gives you 8, and so on. The final result of 16.92 + 7.56 is 24.48, aligning the decimal points ensures everything adds up correctly.
Basic Arithmetic
Basic arithmetic involves simple math operations like addition, subtraction, multiplication, and division. In the case of decimal addition, it follows the same principle as adding whole numbers. Let's break it down:
  • Line up the decimal points
  • Start adding from the rightmost digit
  • If a column sums to more than 9, carry over to the next column
Arithmetic operations require careful attention, especially with carry-overs, to ensure accuracy. Practicing addition with decimals can boost your confidence in handling more complex math problems.
Place Value
Place value is crucial in understanding decimal addition. Each digit in a number has a value based on its position. For example, in the number 16.92:
  • 1 is in the tens place
  • 6 is in the ones place
  • 9 is in the tenths place
  • 2 is in the hundredths place
When you align decimal numbers, matching their decimal points ensures digits in the same place value position are added together correctly. This way, you are ensuring each column's positional value is respected. Practicing place value helps you add and subtract decimals effectively and with accuracy.

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Most popular questions from this chapter

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