Question

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

Answer 1

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*10^3\Rightarrow27*10^3`

STEP 2: Divide them into two different expressions

`\begin{gathered} \text{2}.7*10^3=\text{?} \\ 27*10^3=\text{?} \end{gathered}`

STEP 3: Solve the first expression.

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

STEP 4: Solve the second expression

`\begin{gathered} 27*10^3 \\ 10^3=1000 \\ =27*\: 1000 \\ \mathrm{Multiply\: the\: numbers\colon}\: 27*\: 1000=27000 \\ =27000 \end{gathered}`

STEP 5: Compare the two simplified answers

Hence, the comparison of the expressions gives:

`\text{2}.7*10^3<27*10^3`

Less than(<)