The image shows a math problem involving
standard form and
expanded form of a number. Let's break it down and solve it step by step.
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🔹 Given:
-
Standard Form: 3806
-
Expanded Form: 3000 + 800 + 6
We are asked to verify or understand the relationship between the standard and expanded forms.
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🔍 Step-by-Step Explanation:
#### 1.
Understanding Standard Form
- The
standard form of a number is how we normally write numbers using digits.
- For example:
3806 is in standard form.
#### 2.
Understanding Expanded Form
- The
expanded form breaks down the number by place value (thousands, hundreds, tens, ones).
- Each digit is multiplied by its place value and then added together.
Let’s look at
3806:
-
3 is in the
thousands place → 3 × 1000 =
3000
-
8 is in the
hundreds place → 8 × 100 =
800
-
0 is in the
tens place → 0 × 10 =
0
-
6 is in the
ones place → 6 × 1 =
6
Now add them:
> 3000 + 800 + 0 + 6 =
3806
But in the image, the expanded form is written as:
>
3000 + 800 + 6
This skips the zero in the tens place, which is acceptable because adding zero doesn't change the value.
✔ So,
3000 + 800 + 6 = 3806 is correct.
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✔ Final Answer:
The
expanded form of
3806 is correctly written as:
>
3000 + 800 + 6
This matches the standard form.
---
📌 Summary:
-
Standard Form: 3806
-
Expanded Form: 3000 + 800 + 6
-
✔ They are equivalent.
The lizard with the leaf is just a fun illustration — no need to worry about it!
Let me know if you'd like to practice more examples! 😊
Parent Tip: Review the logic above to help your child master the concept of expanded and standard form worksheet.
