Join IDNLearn.com today and start getting the answers you've been searching for. Join our knowledgeable community and access a wealth of reliable answers to your most pressing questions.
Sagot :
Sure! Let's solve the division step by step.
Given the expression:
[tex]\[ \frac{10 \times 10^{-6}}{5 \times 10^{-5}} \][/tex]
First, let's write out the numerator and the denominator in a more recognizable form. We have:
Numerator: [tex]\( 10 \times 10^{-6} \)[/tex]
Denominator: [tex]\( 5 \times 10^{-5} \)[/tex]
Next, let's simplify both the numerator and the denominator:
Numerator: [tex]\(10 \times 10^{-6} = 10^{-5} \)[/tex]
Denominator: [tex]\(5 \times 10^{-5} = 5 \times 10^{-5} \)[/tex]
Now we perform the division:
[tex]\[ \frac{10 \times 10^{-6}}{5 \times 10^{-5}} = \frac{10^{-5}}{5 \times 10^{-5}} \][/tex]
This is equivalent to:
[tex]\[ \frac{10 \times 10^{-6}}{5 \times 10^{-5}} = \frac{10}{5} \times \frac{10^{-6}}{10^{-5}} \][/tex]
Simplify the fractions separately:
[tex]\[ \frac{10}{5} = 2 \][/tex]
And:
[tex]\[ \frac{10^{-6}}{10^{-5}} = 10^{-1} \][/tex]
Combining these results, we have:
[tex]\[ 2 \times 10^{-1} = 0.2 \][/tex]
Hence, the final result is:
[tex]\[ 0.2 \][/tex]
So,
[tex]\[ \frac{10 \times 10^{-6}}{5 \times 10^{-5}} = 0.2 \][/tex]
Given the expression:
[tex]\[ \frac{10 \times 10^{-6}}{5 \times 10^{-5}} \][/tex]
First, let's write out the numerator and the denominator in a more recognizable form. We have:
Numerator: [tex]\( 10 \times 10^{-6} \)[/tex]
Denominator: [tex]\( 5 \times 10^{-5} \)[/tex]
Next, let's simplify both the numerator and the denominator:
Numerator: [tex]\(10 \times 10^{-6} = 10^{-5} \)[/tex]
Denominator: [tex]\(5 \times 10^{-5} = 5 \times 10^{-5} \)[/tex]
Now we perform the division:
[tex]\[ \frac{10 \times 10^{-6}}{5 \times 10^{-5}} = \frac{10^{-5}}{5 \times 10^{-5}} \][/tex]
This is equivalent to:
[tex]\[ \frac{10 \times 10^{-6}}{5 \times 10^{-5}} = \frac{10}{5} \times \frac{10^{-6}}{10^{-5}} \][/tex]
Simplify the fractions separately:
[tex]\[ \frac{10}{5} = 2 \][/tex]
And:
[tex]\[ \frac{10^{-6}}{10^{-5}} = 10^{-1} \][/tex]
Combining these results, we have:
[tex]\[ 2 \times 10^{-1} = 0.2 \][/tex]
Hence, the final result is:
[tex]\[ 0.2 \][/tex]
So,
[tex]\[ \frac{10 \times 10^{-6}}{5 \times 10^{-5}} = 0.2 \][/tex]
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.