Pregunta
- Multiply twonty thousand by thirty thousand, and write the product in
scientific notation.
scientific notation.
Ask by Ingram Marshall. in the United States
Mar 21,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The product of twenty thousand and thirty thousand is
.
Solución
-
Express the numbers in standard form:
- Twenty thousand is written as
. - Thirty thousand is written as
.
- Twenty thousand is written as
-
Multiply the two numbers:
-
Multiply the coefficients and add the exponents of 10:
-
Combine the results:
Thus, the product in scientific notation is:
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Como
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Extra Insights
To multiply twenty thousand (20,000) by thirty thousand (30,000), we begin by expressing them in scientific notation:
20,000 = 2.0 x 10^4 and 30,000 = 3.0 x 10^4.
Now, multiplying the coefficients: 2.0 x 3.0 = 6.0 and adding the exponents: 10^4 x 10^4 = 10^(4+4) = 10^8.
So, the product is 6.0 x 10^8 when expressed in scientific notation.
20,000 = 2.0 x 10^4 and 30,000 = 3.0 x 10^4.
Now, multiplying the coefficients: 2.0 x 3.0 = 6.0 and adding the exponents: 10^4 x 10^4 = 10^(4+4) = 10^8.
So, the product is 6.0 x 10^8 when expressed in scientific notation.
An easy way to remember scientific notation is to think of it as a more readable way of handling really big (or really small) numbers! It’s especially useful in fields like chemistry and physics, where such numbers often come into play. Just keep multiplying the coefficients and adding the exponents — simple as pie!
Don’t forget a little practice can really help solidify these concepts. Consider making flashcards with different numbers converted to scientific notation or practice multiplying various numbers in scientific notation. It can turn into a fun game while reinforcing your skills! Plus, challenging a friend to see who can solve more in a set time can make it even more engaging.

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