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ACT Aspire Math: Multiplying Numbers Written in Scientific Notation 10 Views


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Description:

What is the product of 4.33 × 10⁴ and 2.00 × 10⁻²?


Transcript

00:03

Okay More math drills for you Expressions equations on his

00:07

crap All right What is the product of four point

00:09

three three times ten to the fourth and two times

00:12

ten to the negative too All right Scientific notation Yeah

00:19

it's a great way to take a shortcut for numbers

00:21

that would take a really long time teo Say like

00:24

you know point zero zero zero zero zero zero zero

00:29

thirty one or whatever Plus who can keep track of

00:31

all those zero They're total nobody's but we do have

00:34

to remember that they're there So to find the product

00:37

or multiplication of two numbers in scientific location we have

00:40

to multiply the coefficients together first So let's just do

00:43

that thing That four point three three times too And

00:46

that's eight point six six So the new combined coefficient

00:49

is eight point six six and get partial credit there

00:52

right No partial credit on this test Alright then we

00:54

use the product rule of exponents when two exponential terms

00:57

have the same base and these two terms are being

00:59

applied to gather you Khun simplify the expression by raising

01:03

the common base to the sum of the two exponents

01:06

Right so that's a lot of words Here's how it

01:08

looks with variables eight of'em times ated n is eighty

01:11

the m plus And so let's just apply this rule

01:14

right here So we have eight point six six times

01:16

ten to the fourth times Ten to the negative too

01:19

And that is just four minus two or ten squared

01:22

So eight point six six times one hundred It's eight

01:25

hundred sixty six or right Well if we want to

01:27

do it all fancy weaken due east right there Eight 00:01:29.721 --> [endTime] point six six times ten squared We're done

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