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Chapter 1: Problem 46

Combine the numbers as indicated. $$904+910-881$$

Short Answer

Expert verified
The result is 933.

Step by step solution

01

Add the Numbers

First, compute the sum of the numbers given. Add 904 and 910 together. \( 904 + 910 = 1814 \).
02

Subtract the Number

Next, subtract the number 881 from the sum obtained in Step 1. \( 1814 - 881 = 933 \).

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Key Concepts

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

Addition
Addition is the basic arithmetic operation where we find the total or sum by combining two or more numbers. It鈥檚 like putting things together to get a bigger amount. For example, when adding the numbers 904 and 910, we're finding out how much we have in total when these two numbers are combined.

One useful tip is to align the numbers vertically by their place values before adding them. This makes it easier to add, starting from the rightmost digits or units' place, carrying over when necessary. In our problem, adding 904 and 910 gives us 1814, calculated as follows:
  • Start by adding the digits in the units place: 4 + 0 = 4.
  • Move to the tens place: 0 + 1 = 1.
  • Finally, add the hundreds place: 9 + 9 = 18. Our result is 1814.
Understanding this process is key to mastering addition, especially when dealing with larger numbers.
Subtraction
Subtraction is another essential arithmetic operation used to find the difference between numbers. It鈥檚 about finding out what鈥檚 left when you take one number away from another. In our exercise, after adding 904 and 910, the next step was to subtract 881 from 1814.

The subtraction process involves:
  • Starting from the right, subtract the smallest digit in each pair, borrowing from the left if necessary.
  • If the top digit is smaller than the bottom one, you will need to "borrow" from the next left column.
In the example, subtract 881 from 1814:
  • Subtract the units: 4 - 1 = 3.
  • Subtract the tens: 1 - 8 can't be done directly, so we borrow 1 from the hundreds, making it 11 - 8 = 3.
  • After borrowing, the hundreds become 17, and 17 - 8 = 9.
The result is 933, showing how subtraction works especially with borrowing steps.
Step-by-Step Problem Solving
Solving problems step-by-step is a vital skill in mathematics, allowing us to tackle more complex problems by breaking them down into manageable pieces. By following a structured approach, we ensure we handle each part of the problem accurately.

The strategy involves:
  • Identifying the operation needed: In our example, this includes both addition and subtraction.
  • Performing each operation in order: Starting with addition then moving to subtraction.
  • Checking your work: After each step, review it to verify the calculations were done correctly.
For example, by first adding 904 and 910 to get 1814, we then confidently subtract 881 to reach the correct solution of 933.

A systematic approach reduces error and increases your confidence in solving math problems efficiently. By understanding and practicing each step, you also build foundational skills necessary for more advanced math topics.

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Most popular questions from this chapter

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