The video explains how to convert 5.5 (five and five-tenths) into a fraction:
Start with 5.5 over 1.
Move the decimal one place to the right by multiplying both numerator and denominator by 10, resulting in 55/10.
Simplify the fraction:
Divide both 55 and 10 by 5 → 11/2.
Convert to a mixed number:
2 goes into 11 five times with a remainder of 1 → 5 and 1/2.
Final Answer:
As a fraction: 11/2
As a mixed number: 5 and 1/2
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The video explains how to convert 1.25 (one and 25 hundredths) into a fraction:
Start with 1.25 over 1.
Move the decimal two places to the right by multiplying both the numerator and denominator by 100 becomes 125/100.
Simplify the fraction by dividing both numbers by 25 → results in 5/4.
Since 5/4 is an improper fraction, convert it to a mixed number:
4 goes into 5 once, remainder 1 → 1 and 1/4.
Final Answer:
As a fraction: 5/4
As a mixed number: 1 and 1/4
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The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of all the given numbers.
For example:
The LCM of 4 and 6 is 12 because 12 is the smallest number that both 4 and 6 divide into evenly.
The LCM is especially useful when working with fractions that have different denominators. Here's how:
This MooMooMath and Science video explains igneous rocks, which are formed from molten rock (magma or lava) that cools and solidifies. The term "igneous" comes from a Greek word meaning "fire." There are two main types of igneous rocks:
Intrusive (formed from magma inside the Earth)
Extrusive (formed from lava on the Earth's surface)
Key differences between intrusive and extrusive rocks include:
Location of formation (inside vs. on the surface)
Cooling rate (slow vs. fast)
Crystal size (large vs. small or none)
Texture (coarse vs. fine or glassy)
Igneous rocks can also be classified as:
Mafic (low silica, dark, rich in magnesium and iron)
Felsic (high silica, light, rich in feldspar and silica)
The video also highlights examples of igneous rocks:
Obsidian – extrusive, glass-like, made of quartz and feldspar
Granite – intrusive, coarse-grained, made of feldspar, quartz, and mica
Basalt – extrusive, dark, fine-grained, made of feldspar and pyroxene
Scoria – volcanic, porous, with mineral-filled cavities
Rhyolite – extrusive, light, fine-grained, can float in water
The video from Moomoo Math and Science explains the different units used to measure distances in space: kilometers, astronomical units (AU), and light years.
Kilometers are used to measure smaller distances, like the diameter of planets. A kilometer equals 1,000 meters, and a meter is based on the distance light travels in a fraction of a second.
Astronomical Units (AU) are used to measure distances within the solar system. One AU is the average distance from the Earth to the Sun—about 150 million kilometers.
Light years are used for extremely large distances, like the distance to stars and galaxies. One light year equals about 9.46 trillion kilometers. For example, Polaris is 430 light years away, and the center of the Milky Way is 26,000 light years away.
The video explains that phase changes are physical changes where a substance transitions between states of matter, such as solid, liquid, or gas. These changes can be:
Endothermic, meaning they absorb heat from the surroundings, causing the surroundings to cool down.
Examples:
Melting (solid → liquid)
Vaporization (liquid → gas)
Sublimation (solid → gas)
Exothermic, meaning they release heat to the surroundings, causing the surroundings to warm up.
Examples:
Freezing (liquid → solid)
Condensation (gas → liquid)
Deposition (gas → solid)
To remember the difference:
Endothermic sounds like “into” – heat flows into the substance.
Exothermic sounds like “exit” – heat exits the substance.
Exothermic and Endothermic Phase Changes
Summary
• Converting a Decimal to a Fraction: The process involves placing the decimal value over one and then multiplying both the numerator and the denominator by a power of 10 to eliminate the decimal. This is determined by the number of places the decimal point needs to be moved to the right. • Simplifying the Fraction: The resulting fraction is then simplified by dividing both the numerator and the denominator by their common factors until the fraction is in its simplest form. • Final Result: The conversion of 0.325 to a fraction results in 13/40 after simplification.
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