Question

The expanded form of 1.61 is
1 + (_ x 0.1) + (1 x 0.01)
1 + 0.6 + _

Answer 1

The expanded form of \(1.61\) can be expressed by breaking it down into its whole number and decimal parts.

The number \(1.61\) consists of:
- The whole number part \(1\)
- The tenths place, which is \(0.6\) (since \(6\) is in the tenths position)
- The hundredths place, which is \(0.01\) (since \(1\) is in the hundredths position)

So we can expand it like this:

\[
1.61 = 1 + (6 \times 0.1) + (1 \times 0.01)
\]

This means that the blank in the expanded form \(1 + (_ \times 0.1) + (1 \times 0.01)\) should be filled with \(6\).

Therefore, the completed statement is:

\[
1.61 = 1 + (6 \times 0.1) + (1 \times 0.01)
\]

So the final answer is:

The expanded form of \(1.61\) is \(1 + (6 \times 0.1) + (1 \times 0.01)\).