Is this sum rational or irrational? Explain.

Mathematics

1 answer:

Lemur [1.5K]4 years ago

3 0

Answer:

First answer:

"The sum is rational because both 1.12 and 18 are rational, and the sum of rational numbers is rational."

Step-by-step explanation:

Both 1.12 and 18/7 are rational numbers (meaning that they can be written as a quotient of integer numbers:

1.12 = 112/100

Then, since the addition of rational numbers is also a rational number, their sum is another rational number.

Then the correct answer is:

The sum is rational because both 1.12 and 18 are rational, and the sum of rational numbers is rational.

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let's use engineering notation for the sake of brevity.

1 trillion is 1,000,000,000,000, or just 1E12, twelve zeros.

1 million is then 1E6, six zeros.

we know the discharge for one day is 3E12 gallons, and that'd do just fine for country A for 5 months. How many gallons in 1 month only?

$\bf \begin{array}{ccll} gallons&months\\ \cline{1-2} 3E12&5\\ x&1 \end{array}\implies \cfrac{3E12}{x}=\cfrac{5}{1}\implies 3E12=5x \\\\\\ \cfrac{3E12}{5}=x\implies 6E11=x\implies 600000000000=x$

if there are 200million inhabitants in A, namely 200E6 or 2E8 inhabitants, how many gallons per inhabitant from all those 6E11 gallons?

$\bf \begin{array}{ccll} gallons&households\\ \cline{1-2} 6E11&2E8\\ x&1 \end{array}\implies \cfrac{6E11}{x}=\cfrac{2E8}{1}\implies 6E11=2E8x \\\\\\ \cfrac{6E11}{2E8}=x\implies \cfrac{600000000000}{200000000}=x\implies 3000=x$