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

Answer:

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

Step-by-step 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 - $8\times 10^6$

5 × 10 to the 9th power - $5\times 10^9$

4 × 10 to 15 power -  $4\times 10^{15}$

According to student, $8\times 10^6+5\times 10^9=4\times 10^{15}$

We solve the expression,

$=8\times 10^6+5\times 10^9$

$=8\times 10^6+5000\times 10^6$

$=10^6(8+5000)$

$=5008\times 10^6$

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