Place Value Problem Solving Questions

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When you use compensation, you regroup your numbers to make numbers that are easier to work with: 13 - 3 = 10 27 3 = 30 For this problem, you can regroup by taking 3 from the 13 and adding it to the 27 to make 30. Isn't 30 10 a much easier problem to do than 27 13? 27 = 20 7 13 = 10 3 27 becomes 20 7 and 13 becomes 10 3. So: 20 10 7 3 = 30 10 = 40 For subtracting, you can use compensation and expanded notation as well.As you know, it is always easier to subtract if the number you are subtracting, or taking away, is a nice rounded number. You would want to get the number you are subtracting (24) to end with a 0: 24 6 = 30 68 6 = 74 So, by adding 6 to each number, you will now have 74 - 30.Well, that's easy: 74 - 30 = 44 With expanded notation, you expand only the number you are subtracting, and then you subtract those parts from the number you are subtracting from.Compensation for subtraction problems is a bit different than for addition problems.For subtraction problems, you can regroup by adding the same number to all of the numbers in your problem.For example, the number 8345 has number 8 in the thousands place, number 3 in hundreds place, number 4 in tens place and number 5 in one’s place.We can write 8345 as: 8345 = 8 × 1000 3 × 100 4 × 10 5 The following table summarizes the place value and the effective value of each of the digits.As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more.Plus, get practice tests, quizzes, and personalized coaching to help you succeed.may consist of several pages, scroll down to the see everything. If your school has some weird security settings, you can always print the worksheet right-clicking over the Worksheet and selecting "Print". If you don't see it, you may have the toolbar set to "off", just click the F8 key to see it.