Maths Olympiad Prep

Track / Stage 3 / 19 of 260 #19 of 1964

Problem 19

AMC 10/12, early questions
Number theory Difficulty 3.0 Multiple choice

The largest desert in the world, the Sahara Desert in Africa, has a length of approximately 4800000m4800000m. The number 48000004800000 in scientific notation is represented as:

Pick one

Next problem →

Official solution

To convert the number 48000004800000 into scientific notation, we follow the steps below:

1. Move the decimal point in 48000004800000 so that it is after the first non-zero digit. In this case, we move it 6 places to the left, which gives us 4.84.8.
2. Count the number of places the decimal point has been moved. This count is 66.
3. Write the number as a product of the number obtained in step 1 and 1010 raised to the power of the count from step 2. This gives us 4.8×1064.8 \times 10^{6}.

Therefore, the number 48000004800000 in scientific notation is represented as 4.8×1064.8 \times 10^{6}.

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

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.