Question

if the moon is 238,000 miles from earth, convert this distance to meters and leave your answer in scientific notation.

Answer 1

The result of the value conversion is 382,942,000 meters and it can be written by scientific notation as $\sf{\bold{3.83 \times 10^8 \: meters}}$

Introduction

Hi ! I'm Deva from Brainly Indonesia. Here I will help you convert between units and convert it to scientific notation.

International Standard Unit

In the world of physics, we know a system called International Standard units, so that the non-standard form of units (which are agreed upon by several countries or people only), must be converted to this international standard.

Scientific Notation

Scientific notation is the notation used to simplify the mention of too long zeros as integers or decimal number. Scientific notation is denoted by:

$\boxed{\sf{\bold{x \cdot 10^n}}}$

With the following condition :

• x = any number starting from 1 and less than 10 and can be decimal.
• n = any number both positive and negative integers.

Problem Solving

We know that :

• 1 mile ≈ 1.609 kilometers ≈ 1,609 meters
• The distance >> 238,000 miles.

What was asked :

• Distance = ... meters
• Scientific notation = ... ?

Step by step :

• Distance = d

$\sf{d = 238,000 \times 1,609}$

$\boxed{\sf{d = 382,942,000 \: meters}}$

• Scientific Notation

The result states the number in the hundreds of millions. The number hundreds of millions always has a power of 8 ($\sf{10^8}$). So, we convert 382.942,000 >> 3.82942000 and because the last three zeros can be omitted.

The scientific notation become :

$\boxed{\sf{Distance \: = 3.83 \times 10^8 \: meters}}$