Bugs02
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Find the product of 21 and (6.3 · 10-4).
A) 0.1323 · 10-1
B) 1.323 · 10-3
C) 1.323 · 10-2
D) 1.323 · 102

Respuesta :

limemercury
I don't think it'd be any of those, because 21×6.3= 132.3, not any of those others. To solve, you would use distributive property and multiply but I don't understand. I'd guess and say it's B, because that's closest to what I got.

Answer:

The correct option is C.

Step-by-step explanation:

The given numbers are 21 and (6.3 · 10⁻⁴).

We need find the product of given numbers.

[tex]Product=21\cdot (6.3\cdot 10^{-4})[/tex]

[tex]Product=(21\cdot 6.3)\cdot 10^{-4}[/tex]

On simplification we get

[tex]Product=(132.3)\cdot 10^{-4}[/tex]

Write the number 132.3 in scientific notation.

[tex]Product=(1.323\cdot 10^2)\cdot 10^{-4}[/tex]

Using power property of exponents we get

[tex]Product=1.323\cdot 10^{2-4}[/tex]          [tex][\because x^mx^n=x^{mn}][/tex]

[tex]Product=1.323\cdot 10^{-2}[/tex]

The product of given values is [tex]1.323\cdot 10^{-2}[/tex]. Therefore the correct option is C.