Question

a number sentence is shown. 1/2 divided __ = 8

Answer 1

To solve the number sentence \( \frac{1}{2} \div \_\_ = 8 \), we can rewrite it using multiplication. Dividing by a number is equivalent to multiplying by its reciprocal.

So, we can express the division as follows:

\[
\frac{1}{2} \div x = 8 \implies \frac{1}{2} = 8 \cdot x
\]

Next, we can isolate \( x \) by dividing both sides by 8:

\[
x = \frac{1}{2} \div 8
\]

Now, we can perform the division:

\[
x = \frac{1}{2} \cdot \frac{1}{8} = \frac{1}{16}
\]

Thus, the number that should fill in the blank is:

\[
\frac{1}{16}
\]

So, the complete sentence is:

\[
\frac{1}{2} \div \frac{1}{16} = 8
\]