QQuestionMathematics
QuestionMathematics
Santiago has a rope that measures 205.95 centimeters. Write this in expanded form.
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Expanded Form
Expanded form means writing a number by showing the value of each digit in its place value. For decimal numbers, this means breaking down the number into its whole number and decimal components.
Step 3:: Separate the Whole Number and Decimal Parts
The number 205.95 can be broken down as follows: - Whole number part: 205 - Decimal part: 95
Step 4:: Write the Expanded Form
205.95 = 2 \times 100 + 0 \times 10 + 5 \times 1 + 9 \times \frac{1}{10} + 5 \times \frac{1}{100}
We'll express this as the sum of each digit multiplied by its place value:
Step 5:: Verify the Calculation
- $$5 \times \frac{1}{100} = 0.05
Let's break this down:
Step 6:: Sum the Components
200 + 0 + 5 + 0.9 + 0.05 = 205.95
Final Answer
The expanded form of 205.95 is 2 \times 100 + 0 \times 10 + 5 \times 1 + 9 \times \frac{1}{10} + 5 \times \frac{1}{100}
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