Place Value Standard: 3.N.1.1 Reading, modeling, writing, and interpreting whole numbers up to 10,000. Comparing and ordering numbers up to 1,000. Concept Skill: Place Value __________________________________ A place value is the value assigned to the place that a digit occupies in a number. (Example: In 346, the digit 3 is in the hundreds place and has a value of 300). You can use a place-value chart to help you find the value of a number. Using the example in the number 346, each digit has a value. Hundreds Tens Ones 3 4 6 There are 3 hundreds: 300. There are 4 tens: 40 There are 6 ones: 6 “Teacher Sample Materials” Place Values Example 1: What is the value of “8” in the number 784? Hundreds Tens Ones 7 8 4 Step 1: Draw out a place-value chart. Numbers, such as 784, have three digits. Each digit is a different place value. Step 2: Find the value of the number it is asking you for. The first digit is called the hundreds' place. It tells you how many sets of one hundred are in the number. The number 784 had seven hundreds. The middle digit is the tens' place. It tells you that there are 8 tens in addition to the seven hundreds. The last or right digit is the ones' place which is 4 in this example. Therefore, there are 7 sets of 100, plus 8 sets of 10, plus 4 ones in the number 784. The value of number “8” is 80. Example 2: Which digit is in the thousands place in the number 6,392? Step 1: Draw out your place-value chart. Thousand 6 Hundreds 3 Tens Ones 9 2 Step 2: What is the question asking? (You need to find out which number is in the thousands place). Step 3: Find the digit in the thousands place. (The number 6 is in the thousands place). Its value is 6 thousand. “Student Practice Materials” Thousand Hundreds Tens Ones Sara made a 4 digit number using counters. Write her four digit number on the place value chart above. Make your own 4 digit number by writing it on the place value chart. Then show your number using counters. Thousand Hundreds Tens Ones Two thousand, three hundred five people live in the town of Roswell. Which of these is another way to write two thousand, three hundred and five? A. B. C. D. 2,035 2,305 2, 000,305 20,003,005 Johnny has six thousand, eight hundred seventy-two baseball cards. Which of these is another way to write six thousand, eight hundred seventy-two? A. B. C. D. 6,072 6000,872 8000,672 6,872 Thousand 4 Hundreds 9 Tens Ones 0 3 Write the 4 digit number above using words. Write each number in expanded form. a. 9,245 = _______ + _______ + _______ + _______ b. 1,203 = _______ + _______ + _______ + _______ c. 7,889 = _______ + _______ + _______ + _______ d. 8,035 = _______ + _______ + _______ + _______ e. 3,476 = _______ + _______ + _______ + _______ f. 2,400 = _______ + _______ + _______ + _______ Write these numbers in standard form. g. 6,000 + 400 + 30 + 6 = ______________ h. 7,000 + 50 + 8 = ______________ i. 4,000 + 700 + 7 = ______________ j. 9,000 + 900 + 90 + 9 = ______________ Write the number that is in the thousands place and give its value. 26, 945 ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ Thousand 5 Hundreds 1 Tens Ones 3 6 Sara made a 4 digit number using counters. Write her four digit number on the place value chart above. Make your own 4 digit number by writing it on the place value chart. Then show your number using counters. Thousand Hundreds Tens Ones Answers will vary but counters should match the number given on the chart Two thousand, three hundred five people live in the town of Roswell. Which of these is another way to write two thousand, three hundred and five? E. *F. G. H. 2,035 2,305 2, 000,305 20,003,005 Johnny has six thousand, eight hundred seventy-two baseball cards. Which of these is another way to write six thousand, eight hundred seventy-two? E. F. G. *H. 6,072 6000,872 8000,672 6,872 Thousand 4 Hundreds 9 Tens Ones 0 3 Write the 4 digit number above using words. ___________________________________________ Four thousand nine hundred three________________ ___________________________________________ ___________________________________________ ___________________________________________ Write each number in expanded form. a. 9,245 = _9000__ + __200__ + __40___ + __5___ b. 1,203 = _1000__ + __200__ + __0___ + ___3___ c. 7,889 = _7000__ + __800__ + __80__ + ___9___ d. 8,035 = _8000__ + __0___ + __30___ + ___5___ e. 3,476 = _3000__ + _400___ + __70___ + __6___ f. 2,400 = _2000__ + _400__ + ____0__ + ___0___ Write these numbers in standard form. g. 6,000 + 400 + 30 + 6 = ___6,436____ h. 7,000 + 50 + 8 = ____7,058____ i. 4,000 + 700 + 7 = __4,707______ j. 9,000 + 900 + 90 + 9 = __9,999______ Write the number that is in the thousands place and give its value. 26, 945 __6, the value of the thousands place is 6000._____ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________