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Math 25 – Chapter 1 Whole Numbers and the Place Value System Fall 2011 This class is all about numbers, but like with all things you can't begin without really thinking about the basics. With that the first question is the most essential and valuable question to start thinking about. To help answer this question below are some other thought provoking questions to consider. What is a number??? 1. Think of some examples of when we use numbers and how we use numbers. Talk to some one sitting near you about this for a few minutes: 2. What symbols do we normally use to represent numbers? Write them down. (Hint: There are ten of them). 3. What do we call those symbols? 4. How is it that from these ten symbols we can create an infinite number of numbers? Page 1 of 6 Math 25 – Chapter 1 Whole Numbers and the Place Value System Fall 2011 Hundred millions Ten millions Millions Hundred thousands Ten thousands Thousands Hundreds Tens Units or “ones” The Place Value Chart 2 1 3, 4 5 6, 7 8 9 Example 1: What does the 2 represent in the following numbers? 45,123 789,987,254 12,456 216,456 Expanded Form Example 2: Write the following numbers in expanded form. 5,120 458,105 Page 2 of 6 Math 25 – Chapter 1 Whole Numbers and the Place Value System Fall 2011 Reading and Writing Numerals Example 3: Read the following numbers out loud and write the numbers out in words (like on a check). 78 678 5,512 81,124 Example 4: Write the following written numbers using digits and place value (just write the numbers using numbers). Seven thousand, eight hundred forty-two Thirty thousand, four hundred twenty-nine Two million, one hundred forty-one thousand, six hundred thirty-one Page 3 of 6 Math 25 – Chapter 1 Whole Numbers and the Place Value System Fall 2011 Rounding Whole Numbers Do you know the exact price of a Toyota Camry or a new Lenovo Tablet? When you don't know the exact price of something what do you do? To round a number to the nearest ten: 1. 2. 3. 4. Look at the tens digit. This number will either stay the same or increase. If the ones digit is 0, 1, 2, 3, or 4, then you leave the tens digit the same. If the ones digit is 5, 6 ,7, 8, or 9, then you increase the tens digit. In both cases you make the digits to the right of the tens digit all zeros. Example 5: Round the number to the nearest ten. 348 2,352 45,985 278 298 3,497 NOTE: There is one special case, and that is if the digit you are rounding to is a 9. You then have to increase the digit, but when you do that then you must also increase the digit to the left. Page 4 of 6 Math 25 – Chapter 1 Whole Numbers and the Place Value System Fall 2011 Fill in the blanks to the following set of instructions for rounding to the nearest hundred. To round a number to the nearest hundred: 1. Look at the __________ digit. This number will either stay the same or increase. 2. If the _________ digit is 0, 1, 2, 3, or 4, then you leave the ___________ digit the same. 3. If the _________ digit is 5, 6 ,7, 8, or 9, then you increase the ___________ digit. 4. In both cases you make the digits to the right of the hundreds digit all zeros. Example 6: Round the number to the nearest hundred. 45,763 123,233 156,655 88,991 Example 7: Round the number to the nearest thousand. 45,763 123,233 156,655 88,991 Page 5 of 6 Math 25 – Chapter 1 – Turn in Page NAME: 1. What are the digits we use to write all of our numbers with? 2. What does the 3 represent in the following numbers? 43,258 987,365 3. Write the following numbers in words. 239 5,382 23,341 4. Write the following numbers in expanded form. 6,783 = 34,289 = 5. Round the number to the nearest hundred. 8,749 23,555 6. Round the number to the nearest thousand. 34,569 239,845 6 of 6