Question

HURRY PLZ

Multiply (2.3710-4)(4.1107) 1) Group the numerical factors together.



Simplify powers of 10 (exponent properties)






Multiply


(3.510-6)(2.411012)


1) Group the numerical factors together.

Answer 1

1)
`(2.37*10^(-4))(4.1* 10^7)=9717`

2)
`(3.5*10^(-6))(2.41* 10^(12))=8435`

Explanation:

1) Given : Expression
`(2.37*10^(-4))(4.1* 10^7)`

To find : Multiply the expression ?

Solution :

Step 1 - Write the expression,

`(2.37*10^(-4))(4.1* 10^7)`

Step 2 - Group the numerical factors together,

`=(2.37* 4.1)(10^(-4)* 10^7)`

Step 3 - Using exponent rule,
`10^a+10^b=10^(a+b)`

`=9.717* 10^(-4+7)`

`=9.717* 10^(3)`

Step 4 - Remove decimal,

`=(9717)/(1000)* 1000`

`=9717`

Therefore,
`(2.37*10^(-4))(4.1* 10^7)=9717`

2) Given : Expression
`(3.5*10^(-6))(2.41* 10^(12))`

To find : Multiply the expression ?

Solution :

Step 1 - Write the expression,

`(3.5*10^(-6))(2.41* 10^(12))`

Step 2 - Group the numerical factors together,

`(3.5* 2.41)(10^(-6)* 10^(12))`

Step 3 - Using exponent rule,
`10^a+10^b=10^(a+b)`

`=8.435* 10^(-6+12)`

`=8.435* 10^(6)`

Step 4 - Remove decimal,

`=(8435)/(1000)* 1000`

`=8435`

Therefore,
`(3.5*10^(-6))(2.41* 10^(12))=8435`