Question

a student found the product of 8 x 10 to the 6 power + 5 x 10 to the 9th power to be 4 x 10 to 15 power what is the error

Answer 1

8*10^6+5*10^9 should be

5,008,000,000

Answer 2

The error student make is he multiply the terms instead of addition.

Explanation:

Given : A student found the product of 8 × 10 to the 6 power + 5 × 10 to the 9th power to be 4 × 10 to 15 power.

To find : What is the error ?

Solution :

8 × 10 to the 6 power -
`8* 10^6`

5 × 10 to the 9th power -
`5* 10^9`

4 × 10 to 15 power -
`4* 10^(15)`

According to student,
`8* 10^6+5* 10^9=4* 10^(15)`

We solve the expression,

`=8* 10^6+5* 10^9`

`=8* 10^6+5000* 10^6`

`=10^6(8+5000)`

`=5008* 10^6`

The error student make is he multiply the terms instead of addition.