Question

In 2014, the estimated population of the world was 7,261,087,766 people.When this number is written in expanded form using exponents,one power of 10 would not be represented.which power of 10? Why?

Answer 1

we are given

In 2014, the estimated population of the world was 7,261,087,766 people

we know that

7,261,087,766 lies between 7,300,000,000 and 7,200,000,000

but it is more closer to 7,300,000,000

so, we will consider this for scientific form

`7,300,000,000=73*10^(8)`

we can also write as

`7,300,000,000=7.3*10*10^(8)`

`7,300,000,000=7.3*10^(9)`

scientific form is

`=7.3*10^(9)`..............Answer

Answer 2

The power of 10 which is not represented would be
`10^5` because it is multiplied by 0.

Explanation:

Given : In 2014, the estimated population of the world was 7,261,087,766 people.

To find : When this number is written in expanded form using exponents,one power of 10 would not be represented.which power of 10? Why?

Solution :

First we write the number expanded form using exponents,

Number 7,261,087,766

`7,261,087,766=7* 1000000000+2* 100000000+6* 10000000+1* 1000000+0* 100000+8* 10000+7* 1000+7* 100+6* 10+6* 1`

`7,261,087,766=7* 10^9+2* 10^8+6* 10^7+1* 10^6+0* 10^5+8* 10^4+7* 10^3+7* 10^2+6* 10^1+6* 10^0`

If we multiply zero the number get vanished,

`7,261,087,766=7* 10^9+2* 10^8+6* 10^7+1* 10^6+8* 10^4+7* 10^3+7* 10^2+6* 10^1+6* 10^0`

So, The power of 10 which is not represented would be
`10^5` because it is multiplied by 0.