Track / Stage 3 / 15 of 260 #15 of 2000

Problem 15

AMC 10/12, early questions

Number theory Difficulty 3.0 Find the answer

The largest desert in the world, the Sahara Desert in Africa, has a length of approximately $4800000m$ . The number $4800000$ in scientific notation is represented as ( ).

A: $48\times 10^{5}$

B: $4.8\times 10^{6}$

C: $0.48\times 10^{7}$

D: $4.8\times 10^{7}$

Your answer

Official solution

To convert the number $4800000$ into scientific notation, we follow the steps below:

1. Move the decimal point in $4800000$ so that it is after the first non-zero digit. In this case, we move it 6 places to the left, which gives us $4.8$ .
2. Count the number of places the decimal point has been moved. This count is $6$ .
3. Write the number as a product of the number obtained in step 1 and $10$ raised to the power of the count from step 2. This gives us $4.8 \times 10^{6}$ .

Therefore, the number $4800000$ in scientific notation is represented as $4.8 \times 10^{6}$ .

Hence, the correct answer is $\boxed{B}$ .

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.