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Chapter 1: Problem 20

Add the whole numbers with carrying. $$\begin{array}{r} 25 \\ +59 \\ \hline \end{array}$$

Short Answer

Expert verified
84

Step by step solution

01

Add the units place

Add the digits in the units place: 5 (from 25) and 9 (from 59). \[ 5 + 9 = 14 \] Write down the 4 in the units place of the result and carry over the 1.
02

Add the tens place

Add the digits in the tens place along with the carry-over: 2 (from 25), 5 (from 59), and the 1 (carry-over). \[ 2 + 5 + 1 = 8 \] Write down the 8 in the tens place of the result.
03

Write the final result

The sum of 25 and 59 is 84.

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Key Concepts

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

carrying in addition
When adding whole numbers, sometimes the sum of digits in one place value is greater than 9. This situation requires 'carrying' over to the next place value. Let's break that process down.

When adding the digits in the units place (the rightmost digits), if their sum exceeds 9, you write down the digit in the units place of this sum and carry over the digit in the tens place. For example:

  • Adding 5 and 9 gives 14. You write the 4 in the units place and carry over the 1.

In the next step, add the digits in the tens place, along with any carry-over. So here you'd add 2 (from 25), 5 (from 59), and the 1 (carry-over), resulting in 8. Writing this down gives the final result.

Understanding carrying is essential for accurate addition of multi-digit whole numbers.
place value
Place value plays a crucial role in adding whole numbers. Each digit in a number represents a different place value based on its position. The rightmost digit is the units place, the next is the tens place, followed by the hundreds place, and so on.

For instance, in the number 25:
  • The digit 5 is in the units place.
  • The digit 2 is in the tens place.

When adding numbers, you start from the rightmost digit (units place) and move left. This method ensures that you add corresponding place values correctly. For example:

  • Adding the units place first (5+9), write down 4 and carry over 1.
  • Adding the tens place next (2+5+1), write down 8.


The final result, 84, correctly sums the place values with carrying included.
whole number operations
Whole number operations like addition are fundamental arithmetic skills. In addition, you combine quantities to find their total. Here's a simple yet effective approach for adding whole numbers:

  • Align the numbers by their place values (units, tens, hundreds).
  • Start from the rightmost place value (units) and move left.
  • Add digits in each place, writing down the result and carrying over when necessary.

This step-by-step approach prevents mistakes and ensures accuracy.

For example, adding 25 and 59 involves:
  • Units place: 5 + 9 = 14. Write down 4; carry over 1.
  • Tens place: 2 + 5 + 1 = 8. Write down 8.

The result is the sum, 84. Mastering these basics of whole number operations builds a strong foundation for more complex math.

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Most popular questions from this chapter

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