Answer:
The values of ''a'' and ''k'' are :
[tex]a=4.4[/tex]
[tex]k=3[/tex]
Step-by-step explanation:
If we want to write a number in scientific notation we can write it as :
[tex]a.(10)^{k}[/tex] (I)
Where ''a'' is a real number and :
[tex]1\leq a<10[/tex]
Where ''k'' is an integer number.
The first step is to find the value of the expression.
The expression is :
[tex]4.(10)^{3}+4.(10)^{2}[/tex] ⇒
[tex]4.(10)^{3}+4.(10)^{2}=4000+400=4400[/tex]
We need to write the number ''4400'' in scientific notation.
We can write it as :
[tex]4400=(4.4).(10)^{3}[/tex]
If we compare this final expression with (I) ⇒
[tex]a=4.4[/tex]
[tex]k=3[/tex]
