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An engaging visual guide illustrating how to represent numbers using base-10 blocks across place values from hundred thousand to one.

A colorful educational illustration titled "Representing Numbers" showing place values from hundred thousand to one using base-10 blocks, with stick figures interacting with the blocks.

A colorful educational illustration titled "Representing Numbers" showing place values from hundred thousand to one using base-10 blocks, with stick figures interacting with the blocks.

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Show Answer Key & Explanations Step-by-step solution for: Representing numbers using Base 10 Blocks (up to 6 digits ...
Let's solve the problem shown in the image step by step.

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🔹 Understanding the Image



This is a visual representation of place value using base-10 blocks (also known as place value blocks). The chart shows different columns for:

- Hundred Thousand
- Ten Thousand
- Thousand
- Hundred
- Ten
- One

Each column contains blocks that represent the value of that place. We need to count how many blocks are in each column and then write the total number represented.

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🔹 Step-by-step Counting



We go from left to right, starting with the highest place value.

#### 1. Hundred Thousand
- There is 1 red square.
- Each red square = 100,000
- So:
→ 1 × 100,000 = 100,000

#### 2. Ten Thousand
- There are 3 orange rods.
- Each rod = 10,000
- So:
→ 3 × 10,000 = 30,000

#### 3. Thousand
- There are 2 purple cubes.
- Each cube = 1,000
- So:
→ 2 × 1,000 = 2,000

#### 4. Hundred
- There are 4 green squares.
- Each green square = 100
- So:
→ 4 × 100 = 400

#### 5. Ten
- There are 2 blue rods.
- Each blue rod = 10
- So:
→ 2 × 10 = 20

#### 6. One
- There are 7 yellow cubes.
- Each yellow cube = 1
- So:
→ 7 × 1 = 7

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🔹 Now Add Them All Together



Let’s add up all the values:

```
100,000 ← Hundred Thousand
+ 30,000 ← Ten Thousand
+ 2,000 ← Thousand
+ 400 ← Hundred
+ 20 ← Ten
+ 7 ← One
───────────────
= 132,427
```

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Final Answer: 132,427



This is the number represented by the blocks in the image.

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📌 Summary



The image uses base-10 blocks to represent the number 132,427, broken down as:

- 1 hundred thousand
- 3 ten thousands
- 2 thousands
- 4 hundreds
- 2 tens
- 7 ones

So, the number is:
👉 132,427

Let me know if you'd like this written in words or expanded form!
Parent Tip: Review the logic above to help your child master the concept of base ten printables.
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