Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
Understand the places of numbers and the value of each place.
Understand that each place increases by ten times the prior place moving to the left.
Demonstrate with models (e.g., place value blocks, mats, discs, etc.) that in a multi-digit whole number, a digit in one place represents ten times the amount of the digit to its right. (a digit in the thousands place is ten times the digit in the hundreds place).
Explain that a digit in one place is worth ten times the amount of the digit to its right (e.g., 10 x 540 = 5,400 ; the 5 in 5,400 represents 5 thousands which is ten times as much as the 5 hundreds in 540).
Understand that moving to the right by one place is also 1/10 of the prior place. Understand why the procedures work based on place value and properties of operations.
Multiply and divide numbers by multiples of tens, hundreds, thousands, etc. to one million (e.g., 70 x 100 = 7,000; 5,000 x 10 = 50,000 and 700 ÷ 70 = 10; 50,000 ÷ 50 = 1,000).
Explain why multiplication and division work based on place value and properties of operations.