Place Value and Patterns

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Presentation transcript:

Place Value and Patterns

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

x10 Thousands Ones/Units Hundred thousands Ten thousands Hundreds Tens Ones 5 500,000 50,000 5,000 500 50 , , Value 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

x10 x10 Thousands Ones/Units Hundred thousands Ten thousands Hundreds Tens Ones 5 500,000 50,000 5,000 500 50 , , Value 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

x10 x10 x10 Thousands Ones/Units Hundred thousands Ten thousands Hundreds Tens Ones 5 500,000 50,000 5,000 500 50 , , Value 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

x10 x10 x10 x10 x10 Thousands Ones/Units Hundred thousands Ten thousands Hundreds Tens Ones 5 500,000 50,000 5,000 500 50 , , Value

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

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

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

x10 x10 x10 x10 x10 Thousands Ones/Units Hundred thousands Ten thousands Hundreds Tens Ones 5 500,000 50,000 5,000 500 50 , , Value 1 10 1 10 1 10 1 10 1 10

Use your white board to answer the following questions.

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

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

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