Question

Mateny group and Rename Numbers Use Structure Miguel uses base-ten blocks to show that 3,200 people are at a museum. How can you and rename the number 3,200?

Answer 1

To rename 3,200 using base-ten blocks, you recognize that there are '3' thousands and '2' hundreds in the number, equivalent to 3 × 1,000 and 2 × 100, or 3,000 + 200, using powers of ten notation.

Step-by-step explanation:

The question asks how to rename the number 3,200 using base-ten blocks, also known as place value or powers-of-ten notation. In this system, each place in a number is ten times greater than the place to the right of it. To rename the number 3,200, you would look at the digits and their place values. The digit '3' is in the thousands place, which means it represents 3,000. The digit '2' is in the hundreds place, meaning it represents 200. Together, these add up to the original number, 3,200.

Rewriting 3,200 in expanded form using powers of ten, we get:

• 3 × 1,000 (which is 3 × 103)
• + 2 × 100 (which is 2 × 102)

This shows 3,200 as the sum of thousands and hundreds, making it clear how the base-ten system works and how each digit contributes to the total number.