Math Problem Statement

4506748 write in expanded (exponential) form

Solution

To write the number 4,506,748 in expanded (exponential) form, you break it down by the value of each digit and express each as a power of 10.

Here’s how 4,506,748 can be written in expanded form:

4×106+5×105+0×104+6×103+7×102+4×101+8×1004 \times 10^6 + 5 \times 10^5 + 0 \times 10^4 + 6 \times 10^3 + 7 \times 10^2 + 4 \times 10^1 + 8 \times 10^0

So, the expanded (exponential) form of 4,506,748 is:

4×106+5×105+6×103+7×102+4×101+8×1004 \times 10^6 + 5 \times 10^5 + 6 \times 10^3 + 7 \times 10^2 + 4 \times 10^1 + 8 \times 10^0

Would you like further explanation or have any questions?

Here are 5 related questions:

  1. How would you write the number 320,015 in expanded (exponential) form?
  2. What is the expanded form of 12,034?
  3. How does expanded (exponential) form differ from standard form?
  4. Can you convert an expanded form back to its original number?
  5. How do you express decimal numbers in expanded (exponential) form?

Tip: In expanded form, remember that any digit multiplied by 10 raised to the power of its place value is part of the sum representing the original number.

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Math Problem Analysis

Mathematical Concepts

Exponential notation
Place value
Powers of 10

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8