Question

researchers counted 8,912 monarch butterflies on one branch of a tree at a site in Mexico. They estimated that the total number of butterflies at the site was 1000 times as large. About how many butterflies were at the sitein all. Explain your thinking and include a statement of the solution.

Answer 1

Approximately 8,912,000 monarch butterflies were at the site. By using powers of 10, I can conclude that doing 8,912 x 1000 would mean adding three zeros to 8,912, making 8,912,000. So, 8,912,000 would be the logical estimate.

Answer 2

The total number of the butterflies are $\fbox{\bf8912000}$.

Further explanation:

Given:

The number of monarch butterflies on one branch of a tree at a site in Mexico are 8912 and the total number of butterflies at the site are 1000 times as large.

Calculation:

Consider, the number of the butterflies on one branch of a tree at a site in Mexico as $x$ and total number of butterflies as $y$.

Since, the total numbers of butterflies at the site are 1000 times the number of the butterflies on one branch of a tree at a site in Mexico.

The total number of butterflies $y$ can be written as follows:

$y=1000x$                                                   …… (1)

Substitute 8912 for $x$ in equation (1).

$\begin{aligned}y&=1000\left( {8912}\right)\\&=8912000\\\end{aligned}$

Thus, the total numbers of the butterflies are $\fbox{\bf8912000}$.

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Answer Details :

Grade: Middle School .

Subject: Mathematics .

Chapter: linear equation.

Keywords:

Lines, equation, monarch butterfly, x=2y, function, substitution, Mexico, site, direct substitution, elimination, graph, middle term factorization, fraction.