# ACT Aspire Math: Multiplying Numbers Written in Scientific Notation

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

ACT Aspire | Math |

ACT Aspire Math | Expressions & Equations |

Math | Expressions & Equations |

Product Type | ACT Aspire |

Test Prep | ACT Aspire ACT Aspire Math |

### Transcript

that would take a really long time teo Say like

you know point zero zero zero zero zero zero zero

thirty one or whatever Plus who can keep track of

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

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

or multiplication of two numbers in scientific location we have

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

that thing That four point three three times too And

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

is eight point six six and get partial credit there

right No partial credit on this test Alright then we

use the product rule of exponents when two exponential terms

have the same base and these two terms are being

applied to gather you Khun simplify the expression by raising

the common base to the sum of the two exponents

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

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

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

right here So we have eight point six six times

ten to the fourth times Ten to the negative too

And that is just four minus two or ten squared

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

hundred sixty six or right Well if we want to

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