Question

Compare: 2.7 x 10^3 O 27 x 10^3 A.>B.

Answer 1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given expressions.

$\text{2}.7\times10^3\Rightarrow27\times10^3$

STEP 2: Divide them into two different expressions

$\begin{gathered} \text{2}.7\times10^3=\text{?} \\ 27\times10^3=\text{?} \end{gathered}$

STEP 3: Solve the first expression.

$\begin{gathered} \text{2}.7\times10^3 \\ 10^3=1000 \\ =1000\times\: 2.7 \\ \mathrm{Multiply\: the\: numbers\colon}\: 2.7\times\: 1000=2700 \\ =2700 \end{gathered}$

STEP 4: Solve the second expression

$\begin{gathered} 27\times10^3 \\ 10^3=1000 \\ =27\times\: 1000 \\ \mathrm{Multiply\: the\: numbers\colon}\: 27\times\: 1000=27000 \\ =27000 \end{gathered}$

STEP 5: Compare the two simplified answers

$\begin{gathered} 2700\Rightarrow27000 \\ It\text{ can be se}en\text{ that the output on the left is less than the output on the right} \\ i.e,\text{ }2700<27000 \\ \text{2}.7\times10^3<27\times10^3 \end{gathered}$

Hence, the comparison of the expressions gives:

$\text{2}.7\times10^3<27\times10^3$

Less than(<)