Question

find $5 \times 0.9$. first, represent the decimal using place value and multiplication. $5 \times 0.9 = $?

Explanation:

Step1: Understand place value of 0.9

0.9 can be represented as $9\times0.1$ (since 9 tenths is 0.9).

Step2: Rewrite the multiplication

So, $5\times0.9 = 5\times(9\times0.1)$.

Step3: Use associative property of multiplication

Using the associative property $(a\times b)\times c = a\times(b\times c)$, we can rewrite it as $(5\times9)\times0.1$.

Step4: Calculate 5×9

$5\times9 = 45$.

Step5: Multiply by 0.1

Then, $45\times0.1 = 4.5$.

Answer:

4.5