Question

The length of a sticky note measures 77 millimeters.express this measurement in meters. Explain your thinking. Include an equation with an exponent In your explanation

Answer 1

Metric system is standard or measurement developed in 1670's by Gabriel Mouton. This is a decimal system of measurement for length, mass and volume. The SI unit of length is meters. In the metric system, the spectrum for the units of length is

km   hm   dkm   m   dm   cm   mm

The greatest starts from the left side" kilometer(km), hectometer(hm), decameter (dkm), meter (m), decimeter (dm), centimeter (cm) and millimeter (mm). The same prefixes are applied to units of mass in grams and volume in liters, like milligrams and milliliters. To use the metric system, place 77 mm above the mm scale. To convert it to m, you have to move the decimal place 3 places to the left. Use the scale to guide you. Hence, 77 millimeters is equal to 0.077 meters.

Answer 2

The length of the sticky notes is $\boxed{0.077\text{ meters}}$.

Further explanation:

Given:

The length of sticky notes is measured as $77\text{ millimeters}$.

Calculation:

Since $1$ meter is equivalent $1000\text{ mm}$, it can be written as follows:

$\begin{aligned}1000\text{ mm}&\rightarrow1\text{ meter}\\1\text{ milimeter}&\rightarrow\dfrac{1}{1000}\text{ meter}\\1\text{ mm}&\rightarrow10^{-3}\text{ meter}\\x\text{ mm}&\rightarrow x\times 10^{-3}\text{ meter}\end{aligned}$

Now, substitute 77 for x in above expression to obtain the length of sticky notes in meter as follows:

$77\text{ mm}\rightarrow 77\times 10^{-3}\text{ meter}$

This implies that the length of the sticky note is $77\times 10^{-3}\text{ meter}$  or $0.077\text{ meter}$.

Thus, the length of the sticky note is $\boxed{0.077\text{ meters}}$.

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Answer Details:

Grade: Middle School

Subject: Mathematics

Chapter: linear equation

Keywords: Millimeters, meter, equation, sticky notes, measurements, length, function, substitution, Mexico, site, direct substitution, elimination, graph, middle term factorization, scientific notation.