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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.

User Original
by
6.4k points

1 Answer

2 votes

Answer:

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

User Swetabh Suman
by
6.9k points