Place Value and Patterns Place Value Chart PVC

Place Value and Patterns

Place Value Chart (PVC) You can use number patterns to understand the relationship among place value positions. Billions , Millions Hundred million Ten million Thousands Millions Hundred thousands , Ten thousands Ones/Units Thousands Hundreds , Tens Ones

x 10 Thousands Hundred thousands Ones/Units , 5 5 5 Ten thousands Thousands Value 500, 000 5, 000 Hundreds Tens Ones 500 50 5 The value of the digit in the ones place is 5. The value of the digit in the tens place is 50. So, the digit in the tens place is 10 times the value of the digit in the ones place. 5 x 10 = 50

x 10 Thousands Hundred thousands x 10 Ones/Units , 5 5 5 , Ten thousands Thousands Value 500, 000 5, 000 Hundreds Tens Ones 500 50 5 The value of the digit in the tens place is 50. The value of the digit in the hundreds place is 500. So, the digit in the hundreds place is 10 times the value of the digit in the tens place. 50 x 10 = 500

x 10 Thousands Hundred thousands x 10 Ones/Units , 5 5 5 , Ten thousands Thousands Value 500, 000 5, 000 Hundreds Tens Ones 500 50 5 The value of the digit in the hundreds place is 500. The value of the digit in the thousands place is 5, 000. So, the digit in the thousands place is 10 times the value of the digit in the hundreds place. 500 x 10 = 5, 000

x 10 Thousands Hundred thousands x 10 Ones/Units , 5 5 5 , Ten thousands Thousands Value 500, 000 5, 000 Hundreds Tens Ones 500 50 5

Thousands Hundred thousands Ones/Units , 5 5 5 , Ten thousands Thousands Value 500, 000 5, 000 Hundreds Tens Ones 500 50 5 1 10 The value of the digit in the thousands place is 5, 000. The value of the digit in the hundreds place is 500. 1 So, the digit in the hundreds place is 10 the value of the digit in 1 the thousands place. 10 of 5, 000 is 500

Thousands Ones/Units , 5 5 5 Hundred thousands Ten thousands Thousands Value 500, 000 5, 000 1 10 Hundreds Tens Ones 500 50 5 1 10 The value of the digit in the hundreds place is 500. The value of the digit in the tens place is 50. 1 So, the digit in the tens place is 10 the value of the digit in the 1 hundreds place. 10 of 500 is 50

Thousands Ones/Units , 5 5 5 Hundred thousands Ten thousands Thousands Value 500, 000 5, 000 1 10 Hundreds Tens Ones 500 50 5 1 10 The value of the digit in the tens place is 50. The value of the digit in the ones place is 5. 1 So, the digit in the ones place is 10 the value of the digit in the 1 tens place. 10 of 50 is 5

x 10 Thousands Hundred thousands x 10 Ones/Units , 5 5 5 , Ten thousands Thousands Value 500, 000 50, 000 1 10 5, 000 1 10 Hundreds Tens Ones 500 50 5 1 10

Use your white board to answer the following questions.

Thousands Hundred thousands Ones/Units Ten thousands Thousands 2 2 Hundreds , Tens Ones 2 2 2 How does the value of the digit in the hundreds place compare to the value of the digit in the tens place? It is 10 times as much. Reasoning: The value of the digit in the tens place is 20. The value of the digit in the hundreds place is 200. 20 x 10 = 200

Thousands Hundred thousands Ones/Units Ten thousands Thousands 2 2 Hundreds , Tens Ones 2 2 2 How does the value of the digit in the hundreds place compare to the value of the digit in the thousands place? 1 It is 10 the value. Reasoning: The value of the digit in the thousands place is 2, 000. The value of the digit in the 1 hundreds place is 200. 10 of 2, 000 is 200

Mrs. Smith asked her students to use base ten blocks to model the number that is ten times the value of 6 flats. What will their models look like? (draw the model on your desk) The students will show 6 cubes. What is the value of their model? 6, 000

The table shows the number of Box Tops each student turned in. Student # of Box Tops Bethany 1, 687 George 2, 847 Cameron 1, 765 Elizabeth 2, 536 Which student’s total number of Box Tops 1 contains a 6 with a value 10 the value of the 6 in Cameron’s total? Elizabeth’s because the value of the 6 in Cameron’s 1 total is 60 and 10 of 60 is 6. Elizabeth’s total number of Box Tops has a 6 in the ones place.

1 Fill in the blanks with “ 10 times” or “ 10 ”. 10 times The digit 5 in 257, 032 has a value ______ the value of the digit 5 in 695, 187. 1 10 ______ The digit 8 in 135, 278 has a value the value of the digit 8 in 439, 681. 1 10 _______ The digit 2 in 82, 105 has a value the value of the digit 2 in 29, 438.