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A light year is the distance that light can travel in one year. 1 light year = 9,460,000,000,000 km. Express one light year in scientific notation

Solution:

Given, a light year is the distance that light can travel in one year.

1 light year = 9,460,000,000,000 km.

We have to express one light year in scientific notation.

Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a power of 10.

Such form of a number is called its standard form or scientific notation.

1 light year = 9,460,000,000,000 km

= 946 × 10¹⁰

= 9.46 × 10² × 10¹⁰

For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

a^m × aⁿ = a^m+n

= 9.46 × 10^{2 + 10}

= 9.46 × 10¹² km

Therefore, the required value is 9.46 × 10¹² km

✦ Try This: About 230 billion litres of water flows through a river each day, how many litres of water flows through that river in a week? How many litres of water flows through the river in an year? Write your answer in standard notation

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

NCERT Exemplar Class 7 Maths Chapter 11 Problem 91 (a)

A light year is the distance that light can travel in one year. 1 light year = 9,460,000,000,000 km. Express one light year in scientific notation

Summary:

A light year is the distance that light can travel in one year. 1 light year = 9,460,000,000,000 km. One light year in scientific notation is expressed as 9.46 × 10¹² km.

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