Questions: Complete the table to show different forms of each number. Write one value from the given answer choices in each box. Standard Form Multiplication Exponential Form 1,000,000 10 × 10 × 10 × 10 × 10 × 10 10^6 1,000 10 × 10 × 10 10^3 100,000 10 × 10 × 10 × 10 × 10 10^5

Complete the table to show different forms of each number. Write one value from the given answer choices in each box.

Standard Form  Multiplication  Exponential Form
1,000,000  10 × 10 × 10 × 10 × 10 × 10  10^6
1,000  10 × 10 × 10  10^3
100,000  10 × 10 × 10 × 10 × 10  10^5
Transcript text: 1. Complete the table to show different forms of each number. Write one value from the given answer choices in each box. \begin{tabular}{ccc} Standard Form & Multiplication & Exponential Form \\ \hline $1,000,000$ & $10 \times 10 \times 10 \times 10 \times 10 \times 10$ & $10^{6}$ \\ \hline 1,000 & $10 \times 10 \times 10$ & $10^{3}$ \\ \hline 100,000 & $10 \times 10 \times 10 \times 10 \times 10$ & $10^{5}$ \\ \hline \end{tabular}
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Solution

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Solution Steps

To complete the table, we need to identify the standard form, multiplication form, and exponential form of each number. The standard form is the number itself, the multiplication form is the number expressed as a product of 10s, and the exponential form is the number expressed as a power of 10.

Step 1: Identify Standard Forms

The standard forms of the numbers are:

  • \(1,000,000\)
  • \(1,000\)
  • \(100,000\)
Step 2: Determine Multiplication Forms

The multiplication forms for each number are expressed as products of \(10\):

  • \(1,000,000 = 10 \times 10 \times 10 \times 10 \times 10 \times 10\)
  • \(1,000 = 10 \times 10 \times 10\)
  • \(100,000 = 10 \times 10 \times 10 \times 10 \times 10\)
Step 3: Write Exponential Forms

The exponential forms of the numbers are:

  • \(1,000,000 = 10^{6}\)
  • \(1,000 = 10^{3}\)
  • \(100,000 = 10^{5}\)

Final Answer

The completed table is as follows:

\[ \begin{array}{|c|c|c|} \hline \text{Standard Form} & \text{Multiplication} & \text{Exponential Form} \\ \hline 1,000,000 & 10 \times 10 \times 10 \times 10 \times 10 \times 10 & 10^{6} \\ 1,000 & 10 \times 10 \times 10 & 10^{3} \\ 100,000 & 10 \times 10 \times 10 \times 10 \times 10 & 10^{5} \\ \hline \end{array} \]

Thus, the answers are:

  • For \(1,000,000\): \(10^{6}\)
  • For \(1,000\): \(10^{3}\)
  • For \(100,000\): \(10^{5}\)

\(\boxed{\text{Standard Form: } 1,000,000, 1,000, 100,000}\)
\(\boxed{\text{Multiplication: } 10 \times 10 \times 10 \times 10 \times 10 \times 10, 10 \times 10 \times 10, 10 \times 10 \times 10 \times 10 \times 10}\)
\(\boxed{\text{Exponential Form: } 10^{6}, 10^{3}, 10^{5}}\)

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