Compare the value of individual digits within a number, or between numbers. Compare the value of a digit with the value of the same digit 1 place to the right -- additively. How much greater is one than the other? Tansition to multiplicative comparison. How many times is the value of one than the other? Find the scale factor.
Enrich by modeling 4-digit and 5-digit numbers. The pattern for ones – 1, 10, 100 – continues with thousands. The place values from right-to-left are: 1 one, 10 ones, 100 ones, 1 thousand, 10 thousands, 100 thousands. A comma separates the ones and thousands. What is 23,456? It’s (2 x 10,000) + (3 x 1,000) + (4 x 100) + (5 x 10) + (6 x 1) = 20,000 + 3,000 + 400 + 50 + 6. *Worksheets Updated 9/16/24 Prerequisites: 3-22 ○ 2-76
Compare the value of a digit with the value of the same digit 1 place to the right. How much greater is the value of a 2 in the thousands place than a 2 in the hundreds place? Subtract to find the difference. 2,000-200 = 1,800. How much greater is the value of a 7 in the hundreds place than a 7 in the tens place? 700-70 = 630. Prerequisites: 4-24 ○ 4-5, 2-32, 2-12
Transition to comparing multiplicatively a digit and the value of the same digit 1 place to the right. The value of a 3 in the thousands place is how many times the value of a 3 in the hundreds place? Find the scale factor by multiplying or dividing. 10 x 300 = 3,000 and 3,000÷300 = 10. 3,000 is 10 times the value of 300. Prerequisites: 4-29 ○ 3-109, 3-106
