Question

practice multiplying negative rational numbers
find the product.
use the number pad to enter your answer in the box.
-0.1(25.9) =
number pad

Explanation:

Step1: Recall multiplication rule for negatives

A negative number times a positive number gives a negative result. So, we calculate \( 0.1\times25.9 \) first and then apply the negative sign.

Step2: Multiply the absolute values

Calculate \( 0.1\times25.9 \). Since \( 0.1=\frac{1}{10} \), multiplying by \( 0.1 \) is the same as moving the decimal point one place to the left in \( 25.9 \). So, \( 0.1\times25.9 = 2.59 \).

Step3: Apply the negative sign

Since one factor is negative (\( -0.1 \)) and the other is positive (\( 25.9 \)), the product is negative. So, \( -0.1\times25.9=-2.59 \).

Answer:

\( -2.59 \)