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Place value chart illustrating number forms from billions to thousandths.

Place value chart showing billions to thousandths, with standard, expanded, and word forms of the number 222,222,222,222.

Place value chart showing billions to thousandths, with standard, expanded, and word forms of the number 222,222,222,222.

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Show Answer Key & Explanations Step-by-step solution for: Place Value Chart | Place value chart, Grade 6 math, Math place value
The image provided is a Place Value Chart that illustrates the concept of place value for a given number. Let's break down the problem and explain the solution step by step.

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Given Information:


The number in question is 222,222,222.222.

#### Components of the Place Value Chart:
1. Standard Form: The number written as it appears: 222,222,222.222.
2. Expanded Form: The number broken down into its place values.
3. Word Form: The number written out in words.

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Step-by-Step Solution:



#### 1. Standard Form:
The standard form of the number is already given as:
\[
222,222,222.222
\]

#### 2. Expanded Form:
To write the number in expanded form, we break it down into the sum of its place values. Each digit is multiplied by its corresponding place value.

- Billions (Hundreds): \(2 \times 100,000,000,000 = 200,000,000,000\)
- Billions (Tens): \(2 \times 10,000,000,000 = 20,000,000,000\)
- Billions (Ones): \(2 \times 1,000,000,000 = 2,000,000,000\)
- Millions (Hundreds): \(2 \times 100,000,000 = 20,000,000\)
- Millions (Tens): \(2 \times 10,000,000 = 2,000,000\)
- Millions (Ones): \(2 \times 1,000,000 = 200,000\)
- Thousands (Hundreds): \(2 \times 100,000 = 20,000\)
- Thousands (Tens): \(2 \times 10,000 = 2,000\)
- Thousands (Ones): \(2 \times 1,000 = 200\)
- Ones (Hundreds): \(2 \times 100 = 200\)
- Ones (Tens): \(2 \times 10 = 20\)
- Ones (Ones): \(2 \times 1 = 2\)
- Decimals (Tenths): \(2 \times 0.1 = 0.2\)
- Decimals (Hundredths): \(2 \times 0.01 = 0.02\)
- Decimals (Thousandths): \(2 \times 0.001 = 0.002\)

Adding these together gives the expanded form:
\[
200,000,000,000 + 20,000,000,000 + 2,000,000,000 + 20,000,000 + 2,000,000 + 200,000 + 20,000 + 2,000 + 200 + 20 + 2 + 0.2 + 0.02 + 0.002
\]

#### 3. Word Form:
To write the number in word form, we describe each group of digits according to their place values:
- Billions: Two hundred twenty-two billion
- Millions: Two hundred twenty-two million
- Thousands: Two hundred twenty-two thousand
- Ones: Two hundred twenty-two
- Decimals: Two hundred twenty-two thousandths

Putting it all together:
\[
\text{Two hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred twenty-two AND two hundred twenty-two thousandths}
\]

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Final Answer:


\[
\boxed{222,222,222.222}
\]

This is the standard form of the number, which matches the given information. The expanded form and word form are also correctly derived from the place value chart.
Parent Tip: Review the logic above to help your child master the concept of place value 5th grade math.
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