Multiply 0.92 x 1.4994.

Step-by-step solution

1. 1

   Choose a strategy suited to the numbers. Long multiplication of $92$ by $14994$ means five partial products. Because $0.92$ is close to $1$, the compensation method is far quicker: $0.92 = 1 - 0.08$.

2. 2

   Apply the distributive law. $1.4994 \times 0.92 = 1.4994 \times (1-0.08) = 1.4994 - 1.4994 \times 0.08.$

3. 3

   Compute the small correction. $1.4994 \times 8 = 11.9952$, so shifting two decimal places gives $1.4994 \times 0.08 = 0.119952.$

4. 4

   Subtract. $1.4994 - 0.119952 = 1.379448.$ Pad the first number to six decimals ($1.499400$) before subtracting so the columns line up.

5. 5

   Check the decimal-place count. $0.92$ has $2$ decimals and $1.4994$ has $4$, so the exact product must have $6$: $\tfrac{92}{100}\times\tfrac{14994}{10000} = \tfrac{1379448}{1000000} = 1.379448$. The digit count confirms nothing was dropped.

6. 6

   Estimate to be safe. $0.92$ is a little over $\tfrac{9}{10}$, and $\tfrac{9}{10}\times 1.5 = 1.35$, so a result slightly above $1.35$ is expected - $1.379448$ fits.