Place Value Word Problems

A step-by-step guide to solving place value word problems

Here’s a step-by-step guide to solving place value word problems:

1. Read the problem carefully and identify the given information: In a place value word problem, you are usually given a number or a set of numbers, along with some specific information about the digits or their positions. Read the problem carefully identify the given information, and make sure you understand what the problem is asking you to find.
2. Identify the place value of the digits: The place value of a digit determines the value of the digit based on its position in the number. Identify the place value of the digits that are given or asked for in the problem. For example, if the problem involves finding the value of the hundreds place or the thousands place, make sure you know what these places are and how to calculate their values.
3. Write the number in expanded form: Expanded form is a way of writing a number as the sum of its digits multiplied by its place values. Write the number in expanded form to help you visualize the value of each digit in the number.
4. Perform the necessary operations: Once you have identified the given information and the place values of the digits, perform the necessary operations to solve the problem. This may involve adding, subtracting, multiplying, or dividing the digits to find the answer.
5. Check your answer: After you have completed the problem, double-check your work to make sure your answer makes sense and is consistent with the problem. You can also verify your answer by using estimation or by working the problem backward.

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By following these steps, you should be able to solve place value word problems with greater ease and accuracy.

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Example 1:

The problem asks for a number that has 6 thousand, several hundreds that is 2 less than the number of thousands, several tens that is 1 more than the number of hundreds, and several ones that is 3 more than the number of thousands. What is this number?

Solution: You want to find the number 6 … … …

 2 fewer than a thousand is 4. 1 more tens than hundreds is 5. 3 more ones than thousands is 9.

So, it’s 6459.

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