Question

in this section, youll break down multi-digit numbers by place value to understand addition more clearly.
youre buying a car at a local car dealership, and a sales associate named mya is helping you. you decide to purchase a car that costs $23,829.
whats the purchase price of the car written in expanded form based on place value?
$20,000 + 3,000 + 800 + 20 + 9$
$2,000 + 3,000 + 800 + 20 + 9$
$2,000 + 300 + 80 + 20 + 9$
$20,000 + 300 + 800 + 20 + 9$

Explanation:

Step1: Identify place values

The number $23,829$ has digits with these place values:

• 2: ten-thousands place ($2 \times 10,000 = 20,000$)
• 3: thousands place ($3 \times 1,000 = 3,000$)
• 8: hundreds place ($8 \times 100 = 800$)
• 2: tens place ($2 \times 10 = 20$)
• 9: ones place ($9 \times 1 = 9$)

Step2: Sum place value components

Add the calculated place value terms together:
$20,000 + 3,000 + 800 + 20 + 9$

Answer:

20,000 + 3,000 + 800 + 20 + 9