Compute 26 times 9.175.

Step-by-step solution

1. 1

   Split the whole-number factor using the distributive law. Breaking $26$ into a round part and a small part makes both products easy:

   $26\times 9.175=9.175\times(20+6)$

2. 2

   Compute the first partial product. Multiplying by $20$ is doubling then appending a zero:

   $9.175\times 20=183.5$

3. 3

   Compute the second partial product.

   $9.175\times 6=55.05$

   (Check: $9\times 6=54$ and $0.175\times 6=1.05$, so $54+1.05=55.05$.)

4. 4

   Add the partial products.

   $183.5+55.05=238.55$

5. 5

   Confirm the answer is exact, not rounded. Writing $9.175=\tfrac{9175}{1000}=\tfrac{367}{40}$:

   $26\times\frac{367}{40}=\frac{9542}{40}=\frac{4771}{20}=238.55$

   so the decimal terminates exactly $\checkmark$. An order-of-magnitude check: $26\times 9=234$, and $238.55$ sits just above it as expected.