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QuestionMathematics

How do you write 12.375 in expanded form?
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Answer

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Step 1:
I'll solve this step-by-step using the expanded form notation:

Step 2:
: Understand Expanded Form

Expanded form breaks down a number by showing the value of each digit based on its place value. For decimal numbers, this means separating out the whole number and decimal parts.

Step 3:
: Identify the Whole Number Part

- $$2 \times 10^{0} = 2
The whole number part is 12

Step 4:
: Identify the Decimal Part

- $$5 \times 10^{-3} = 0.005
The decimal part is 0.375

Step 5:
: Combine the Parts

12.375 = (1 \times 10^{1}) + (2 \times 10^{0}) + (3 \times 10^{-1}) + (7 \times 10^{-2}) + (5 \times 10^{-3})
The expanded form is:

Final Answer

12.375 = 10 + 2 + 0.3 + 0.07 + 0.005