Question
What is the expanded form of 23.75?
(2×10)+(3×1)+(7×1/10)+(5×1/100)
(2×10)+(3×1)+(7×1/10^1)+(5×1/10^2)
(2×10)+(3×1)+(7×1/10)+(5×1/100)
(2×10)+(3×1)+(7×1/10^1)+(5×1/10^2)
Answers
GPT-4o mini
The expanded form of 23.75 can be represented in terms of its place values.
Let's break down the number:
- The "2" is in the tens place, which is \(2 \times 10\).
- The "3" is in the units place, which is \(3 \times 1\).
- The "7" is in the tenths place, which is \(7 \times \frac{1}{10}\) or \(7 \times 10^{-1}\).
- The "5" is in the hundredths place, which is \(5 \times \frac{1}{100}\) or \(5 \times 10^{-2}\).
So, the expanded form of 23.75 can be written as:
\[
(2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100})
\]
OR
\[
(2 \times 10) + (3 \times 1) + (7 \times 10^{-1}) + (5 \times 10^{-2})
\]
Both forms are correct representations of the expanded form of 23.75.
Let's break down the number:
- The "2" is in the tens place, which is \(2 \times 10\).
- The "3" is in the units place, which is \(3 \times 1\).
- The "7" is in the tenths place, which is \(7 \times \frac{1}{10}\) or \(7 \times 10^{-1}\).
- The "5" is in the hundredths place, which is \(5 \times \frac{1}{100}\) or \(5 \times 10^{-2}\).
So, the expanded form of 23.75 can be written as:
\[
(2 \times 10) + (3 \times 1) + (7 \times \frac{1}{10}) + (5 \times \frac{1}{100})
\]
OR
\[
(2 \times 10) + (3 \times 1) + (7 \times 10^{-1}) + (5 \times 10^{-2})
\]
Both forms are correct representations of the expanded form of 23.75.