To write the number 67.45 in expanded form, we break it down into its components based on place value.
- The number 67.45 can be separated into:
- 6 in the tens place, which represents 60 or \(6 \times 10\)
- 7 in the ones place, which represents 7 or \(7 \times 1\)
- 4 in the tenths place, which represents 0.4 or \(4 \times 0.1\) (or \(4 \times 10^{-1}\))
- 5 in the hundredths place, which represents 0.05 or \(5 \times 0.01\) (or \(5 \times 10^{-2}\))
So, the expanded form can be written as: \[ (6 \times 10) + (7 \times 1) + (4 \times 0.1) + (5 \times 0.01) \]
In terms of whole numbers: \[ (6 \times 10) + (7 \times 1) + (4 \times 10^{-1}) + (5 \times 10^{-2}) \]
From the options provided, the correct expression that represents the expanded form of 67.45 would be: \[ (6 \times 10) + (7 \times 1) + (4 \times 10) + (5 \times 1) \]
Since 0.4 can be expressed as \(4 \times 10^{-1}\) and \(0.05\) can be expressed as \(5 \times 10^{-2}\).
Based on your options, the closest match is: \[ (6 \times 10) + (7 \times 1) + (4 \times 10) + (5 \times 10^{0}) \]
That would yield the correct expanded representation of the number 67.45. However, it appears there may be formatting issues in the provided options, and these might not represent the best interpretation. If the focus is on decimal fractions, then: \[(6 \times 10) + (7 \times 1) + (4 \times 10^{-1}) + (5 \times 10^{-2})\] is the accurate representation of 67.45 in expanded form.