Question

Identify the missing numbers below to show the result of multiplying the numbers.

(3.5 × 1016)(2.2 × 1010) = A × 10B

A= 7.7
B = 26

Answer 1

(3.5x1016) = 3556
and
(2.2x1010) = 2222

As per question;
(3556)x(2222) = 10 a*b
By dividing both sides by "10"
we get
(3556)x(222.2) = a*b
or
(355.6)x(2222) = a*b
by comparing both sides of the equation,
we get that a = 3556 and b = 222.2
or
a = 355.6 and b = 2222

Answer 2

A = 7.7 and B = 26

Explanation:

Given expression,

`(3.5* 10^(16))(2.2* 10^(10))`

`=3.5* 2.2* 10^(16)* 10^(10)`

`=7.7* 10^(16+10)`
`(\because a^ma^n=a^(m+n))`

`=7.7* 10^(26)`

According to the question,

`7.7* 10^(26)=A* 10^B`

By comparing,

A = 7.7

B = 26