Let’s go step by step to understand how 8,743 is written in expanded form.
The number 8,743 has four digits. Each digit has a place value:
- The
8 is in the
thousands place → that means it stands for
8 × 1,000 = 8,000
- The
7 is in the
hundreds place → that means it stands for
7 × 100 = 700
- The
4 is in the
tens place → that means it stands for
4 × 10 = 40
- The
3 is in the
ones place → that means it stands for
3 × 1 = 3
Now, we add all those values together to get the original number:
8,000 + 700 + 40 + 3
That’s exactly what “expanded form” means — breaking down the number into the sum of each digit’s place value.
So, the expanded form of 8,743 is:
8,000 + 700 + 40 + 3
This matches what’s shown in the image.
Final Answer:
8,000 + 700 + 40 + 3
Parent Tip: Review the logic above to help your child master the concept of expanded form with decimals.
