Problem

Express the following number in decimal notation.
\[
9.8 \times 10^{6}
\]
\[
8.8 \times 10^{6}=
\]

Answer

Expert–verified
Hide Steps
Answer

So, $8.8\times 10^{6}=8800000$.

Steps

Step 1 :First, simplify $9.8\times 10^{6}=98\times 10^{5}$.

Step 2 :The factor of $10^{5}$ instructs us to move the decimal point in 98 five places to the right.

Step 3 :The first step moves the decimal past the 8 and the next \(\boxed{4}\) steps each introduce a digit of 0.

Step 4 :So, $9.8\times 10^{6}=9800000$.

Step 5 :Similarly, simplify $8.8\times 10^{6}=88\times 10^{5}$.

Step 6 :The factor of $10^{5}$ instructs us to move the decimal point in 88 five places to the right.

Step 7 :The first step moves the decimal past the 8 and the next \(\boxed{4}\) steps each introduce a digit of 0.

Step 8 :So, $8.8\times 10^{6}=8800000$.

link_gpt