Question

Express 5 times 10 cubed times 4.4 times 10 squared explain

Answer 1

$a^n\cdot a^m=a^{n+m}\\\\commutative\ property:a\cdot b=b\cdot a\\\\associative\ property:(a\cdot b)\cdot c=a\cdot(b\cdot c)$


$5\cdot10^3\cdot4.4\cdot10^2=(5\cdot4.4)\cdot(10^3\cdot10^2)=22\cdot10^{3+2}\\\\=22\cdot10^5=2,200,000$

$The\ scienitific\ notation:a\cdot10^n\ where\ 1\leq a < 10\ and\ n\in\mathbb{Z}\\\\22\cdot10^5=2.2\cdot10^{5+1}=2.2\cdot10^6$