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Souvik

Distance

August 19, 2020 by Souvik Leave a Comment

DISTANCE 

 

 

 

 

1. WHAT IS THE DISTANCE OF THE SUN FROM THE EARTH?

Ans:  The distance of the Sun from Earth varies between 91 and 94 million miles.Astronomers can measure the distance very accurately by bouncing radar waves off the planets.

 

 

2. WHAT IS RED SHIFT?

Ans: When a galaxy is moving rapidly away from us, the waves of light become stretched out – that is, they become redder. The greater this red shift. the faster the galaxy is moving away from us.

 

 

3. WHAT IS A LIGHT-YEAR?

Ans: A light year is 9,460.000.000.000 km. This is the distance light can travel in a year, at its constant rate of 300,000 km per second.

 

 

4. HOW FAR IS IT TO THE NEAREST STAR?

Ans: The nearest star is Proxima Centauri, which is 43 light-years away, or 40 trillion km.

 

 

5. WHAT IS A PARSEC?

Ans: A parsec is 3.26 light-years. Parsecs are parallax distances- distances worked Out geometrically from slight shifts of a
star’s apparent position as the Earth moves around the Sun.

 

 

6. HOW DID ASTRONOMERS FIRST ESTIMATE THE SUN’S DISTANCE?

Ans: In 1672, two astronomers, Cassini in France and Richer in Guiana, noted the exact position of Mars in the skies. They could work out how far away Mars is from the slight difference between their two measurements. Once they knew this, they could work out by simple geometry the distance from Earth to the Sun, Cassini’s estimate was only a few percent out.

 

7. WHAT IS THE FURTHEST OBJECT WE CAN SEE?

Ans: The furthest objects we can see in space are quasars,which may be over 13 billion light-years away.

 

 

8. ARE THE STARS GETTING FURTHER AWAY?

Ans: Analysis of red shifts has shown us that every Single galaxy is moving away from us. The further away the galaxy, the faster it is moving away from us. The most distant galaxies are receding at almost the speed of light.

 

 

 

9. HOW FAR AWAY IS THE MOON?

Ans: At its nearest, the Moon is 356.517 km away from Earth; at its furthest, it is 406,71| km away. This is measured accurately by a laser beam bounced off mirrors left on the Moon’s surface by Apollo astronauts and Soviet lunar probes. The distance is shown by how long it takes the beam to travel to the Moon and back.

 

 

Filed Under: Enrich Your knowledge, Universe Tagged With: Content of Universe, DISTANCE, universe

The Outer Planets

August 17, 2020 by Souvik Leave a Comment

THE OUTER PLANETS 

 

 

 

 

 

 

 

 

 

 

1.WHAT ARE THE OUTER PLANETS?

Ans: The outer planets are Uranus, Neptune and Pluto, and Pluto’s companion Charon. Unlike the other planets,these were completely unknown to ancient astronomers. They are so far away, and so faint, that Uranus was discovered only in 1781, Neptune in 1846,Pluto in 1930 and Charon as recently as 1978. Uranus and Neptune are gas giants like Jupiter and Saturn.

 

 

2. WHAT’S STRANGE ABOUT URANUS?

Ans: Unlike any of the other planets, Uranus does not spin on a slight tilt. Instead it is tilted right over and rolls around the Sun on its side, like a giant bowling ball.

 

 

3. WHAT’S AN ASTEROID?

Ans: Asteroids are the thousands of rocky lumps that circle round the Sun in a big band between Mars and Jupiter. The biggest,Ceres, is 640 km across.Most are much smaller,Over 5000 asteroid shave been identified so far.

 

 

4. WHAT IS A COMET?

Ans: Comets are really just dirty ice balls. Normally, they circle the outer reaches of the solar system. But occasionally, one of them is drawn in towards the Sun. As it hurtles towards the Sun, it melts and a vast tail of gas is blown behind it by the solar wind. We may see this spectacular tail in the night sky shining in the sunlight for a few weeks until it swings round the Sun and out of sight. The Hale-Bopp comet gave a spectacular display in 1997.

 

 

5. WHO FOUND NEPTUNE?

Ans: Two mathematicians, John Couch Adams in England and Urbain le Verrier in France, predicted where Neptune should be from the way its gravity disturbed Uranus’s orbit. Johann Galle in Berlin spotted it on September 23, 1846.

 

 

6. HOW LONG IS A YEAR ON NEPTUNE?

Ans: Neptune is so far from the Sun- over 4,500 million km that its orbit takes about 165 Earth years. So one year on
Neptune lasts 165 Earth years.

 

 

7. WHY IS NEPTUNE GREEN?

Ans: Neptune appears greeny-blue because of the methane gas (a component of natural gas) in its atmosphere.

 

 

8. HOW BIG IS PLUTO?

Ans: Pluto is very small, which is why it was so hard to spot. It is five times smaller than the Earth just 2,390 km across and 500 times lighter.

 

 

9. WHAT IS A METEORITE?

Ans: Meteorites are lumps of rock from space big enough to penetrate the Earth’s atmosphere and reach the ground without burning up.

                                                                                                                                    –Assam Study Hub

 

Filed Under: Universe, Enrich Your knowledge Tagged With: outer planets, universe

The Giant Planets

August 17, 2020 by Souvik Leave a Comment

THE GIANT PLANETS :

 

 

 

 

 


 

 

 

 

 

 

 

 

 

1. WHAT ARE SATURN’S RINGS?
Ans: Saturn’s rings are the planets shining halo, first seen by Galileo Galilei ( I564-1642), who invented the first simple telescope in 1609. The rings are made of countless billions of tiny chips of ice and dust, few bigger than a refrigerator and most the size of ice cubes. The rings are incredibly thin no more than 50 m deep yet they stretch from 7,000 km to 74,000 km out into space. One of Saturn’s rings is as thin as a piece of tissue paper being stretched over a football pitch.

 


2. HOW WINDY IS SATURN?
Ans: Saturn’s winds are even faster th roar round up to I,800 km/h. But Neptune’s a even faster!Jupiter’s and the planet.

 


3. WHAT IS THE CASSINI DIVISION?

Ans: Saturn’s rings occur in broad bands referred to by the letters A to G. In 167 the astronomer Cassini spotted a dart gap between rings A and B. This is now called the Cassini division, after him.

 


4. HOW MANY MOONS HAS SATURN?

Ans: Saturn has at least 18 moons, including Lapetus, which is dark on one side and light on the other.

 


5. HOW BIG IS JUPITER?
Ans: Very big. Even though Jupiter is largely gas, it weighs 320 times as much as the Earth and is 142,984 km in diameter.

 


6. HOW LONG DOES IT TAKE JUPITER TO ORBIT THE SUN?
Ans: Jupiter takes 11 years and 314 days (by our Earth calendar) to complete its journey around the Sun.

 


7. WHAT ARE THE GIANT PLANETS?
Ans: Jupiter and Saturn, the fifth and sixth planets out from the Sun, are the giants of the solar system. Jupiter is twice as heavy as all the planets put together. Saturn is almost as big. Unlike the inner planets, they are both made largely of gas, and only their very core is rocky. This does not mean they are vast cloud balls. The enormous pressure of gravity means the gas is squeezed until it becomes liquid, and even solid.

 


8. COULD YOU LAND ON JUPITER?
Ans: No. Even if your spaceship could withstand the enormous pressures, there is no surface to land on – the atmosphere merges unnoticeably into deep oceans of liquid hydrogen.

 


9. HOW FAST DOES JUPITER SPIN?
Ans: Jupiter spins faster than any other planet. Despite its huge size, it turns right around in just 9 hours 55 minutes, which means the surface is moving at 45,000 km/h!

 

 

Filed Under: Universe, Enrich Your knowledge Tagged With: planets, THE GIANTS PLANETS, universe

The Inner Planets

August 17, 2020 by Souvik Leave a Comment

THE INNER PLANETS :

 

 

 

 

 

 

 

 

 

1. WHAT ARE THE INNER PLANETS?
Ans: The inner planets are the four planets in the solar system that are nearest to the Sun. These planets- Mercury, Venus, Earth and Mars are small planets made of rock, unlike the bigger planets further out, which are made mostly of gas. Because they are made of rock, they have a hard surface a spaceship could land on, which is why they are sometimes called terrestrial(earth) planets. They all have a thin atmosphere, but each is very different.

 

2. WHY IS MARS RED?
Ans: Mars is red because it is rusty.The surface contains a high proportion of iron dust, and this has been oxidized in the carbon dioxide atmosphere.

 

3. WHAT’S FRIGHTENING ABOUT MARS’S MOONS?
Ans: One night American astronomer Asaph Hall got fed up with studying Mars and decided to go to bed.But his domineering wife bullied him into staying up and that night he discovered Mars’s two moons.Mocking his fear of his wife,he named the moons Phobos (fear) and Deimos (panic), after the attendants of the Roman war god, Mars.

 

4. LIFE ON MARS?
Ans: The Viking landers of the 1970 s found no trace of life. Then, in 1996, microscopic fossils of what might be mini-viruses were found in a rock from Mars.These turned out not to be signs of life after all.

 

5. WHY IS VENUS CALLED THE EVENING STAR?
Ans: Venus reflects sunlight so well it shines like a star. But because it is quite close to the Sun, we can see it in the evening, just after the Sun sets.We can also see it just before sunrise.

 

6. WHAT ARE THE INNER PLANETS MADE OF?
Ans: Each of the inner planets is formed a little bit like an egg with a hard “shell” or crust of rock, a “white” or mantle of soft, semi-molten rock, and a”yolk” or core of hot, often molten, iron and nickel.

 

7. WHAT CANYON IS BIGGER THAN THE GRAND CANYON?
Ans: A canyon on Mars! The surface of Mars is more stable than Earth’s, and there is no rain or running water to wear down the landscape. It has a volcano called Olympus Mons which is 17 miles (27 km s)high three times higher than Mount Everest. It also has a great chasm, discovered by the Mariner 9 space probe and called the Valles Marineris. This is
over 4,000 km long and four times as deep as America’s Grand Canyon.

 

8. COULD YOU BREATHE ON MERCURY?
Ans: Not without your own oxygen supply. Mercury has almost no atmosphere-just a few wisps of sodium because gases are burned off by the nearby Sun.

 

9. WHAT IS THE AIR ON VENUS?
Ans: Venus’s atmosphere would be deadly for humans. It is very deep, so the pressure on the ground is huge. It is made mainly of poisonous carbon dioxide and is also filled with clouds of sulphuric acid.

 

10. HOW HOT IS MERCURY?
Ans: Temperatures on Mercury veer from one extreme to the other because it has too thin an atmosphere to insulate it. In the day, temperatures soar to 400° C; at night they plunge to -175°C.

 

 

Filed Under: Universe, Enrich Your knowledge Tagged With: inner planets, planets, universe

THE SUN

August 16, 2020 by Souvik Leave a Comment

THE SUN :

 

 

 

 

 

 

 

 

 

 

 

 

 

1. WHAT IS THE SUN?
Ans: The Sun is an average star, just like countless others in the universe. It formed from gas left behind after an earlier, much larger star blew up and now, in middle-age, burns yellow and fairly steadily – giving the Earth daylight and remarkably constant temperatures. Besides heat and light, the Sun sends out deadly gamma rays, X-rays and ultraviolet, as well as infrared and radio waves. Fortunately we are shielded from these by Earth’s magnetic field and atmosphere.

 

 

2. WHAT IS A SOLAR ECLIPSE?

Ans: A solar eclipse is when the Moon moves in between the Sun and the Earth, creating a shadow a few hundred kilometres wide on the Earth.

 

 

3. WHAT MAKES THE SUN BURN?

Ans: The Sun gets its heat from nuclear fusion.Huge pressures deep inside the Sun force the nuclei (cores) of hydrogen atoms to fuse together to make helium atoms, releasing huge amounts of nuclear energy.

 

 

4. WHAT IS THE SUN’S CROWN?

Ans: The Sun’s crown is its corona, its glowing white hot atmosphere seen only as a halo when the rest of the Sun’s disc is blotted out by the Moon in a solar eclipse.

 


5. HOW HOT IS THE SUN?
Ans: The surface of the Sun is a phenomenal 5500″C, and would melt absolutely anything. But its core is thousands of times hotter at over 15 million C.

 


6. WHAT IS THE SOLAR WIND?
Ans: The solar wind is the stream of radioactive particles constantly blowing out from the Sun at hundreds of kilometres per second. The Earth is protected from the solar wind by its magnetic field, but at the Poles the solar wind interacts with Earth’s atmosphere to create the aurora borealis or northern lights.

 


7. HOW OLD IS THE SUN?
Ans: The Sun is a middle-aged star. It probably formed about 4.6 billion years ago. It will probably burn for another five billion years and then die in a blaze so bright that the Earth will be scorched right out of existence.

 


8. WHAT ARE SUNSPOTS?
Ans: Sunspots are dark blotches seen on the Sun’s surface. They are thousands of kilometres across, and usually occur in pairs. They are dark because they are slightly less hot than the rest of the surface. As the Sun rotates, they slowly cross its face – in about 37 days at the equator and 26 days at the Poles. The average number of spots seems to reach a maximum every I| years, and many scientists believe these sunspot maximums are linked to periods of stormier weather on Earth.

 


9. WHAT ARE SOLAR FLARES?
Ans: Flares are eruptions from the Sun’s surface that fountain into space with the energy of one million atom bombs for about five minutes. They are similar to solar prominences, the giant flame-like tongues of hot hydrogen that loop 32,000 km into space.

 


10. HOW BIG IS THE SUN?
Ans: The Sun is a small-to-medium-sized star 1,392,000 km in diameter. It weighs just under 2,000 trillion trillion tonnes.

 

 

Filed Under: Universe, Enrich Your knowledge Tagged With: the sun, universe

Universe

August 16, 2020 by Souvik 1 Comment

CONTENTS


1.The Earth

2.The Moon

3.The Sun

4.The Inner Planets

5.The Giant planets

6. The Outer Planets

7.Birth of a Star

8.Death of a Star

9.Distances

10.Gravity and black hole

11.Matter

12.Galaxies

13.History of the Universe

14.Life

Filed Under: Enrich Your knowledge, Universe Tagged With: Content of Universe

The Earth

August 16, 2020 by Souvik Leave a Comment

THE EARTH 

 

 

 

 

 

 

 

 

 

 

1.HOW DID THE EARTH BEGIN ?
Ans: Around 4.6 billion years ago, neither the Earth nor any of the other planets existed. There was just this vast, dark, very hot cloud of gas and dust swirling around the newly formed Sun. Gradually,the cloud cooled and the gas began to condense into billions of droplets. Slowly these droplets were pulled together into clumps by their own gravity and they carried on clumping until all the planets, including the Earth, were formed.But it took another half a billion years before the Earth had cooled enough to form a solid crust with an atmosphere around it.

 

 

 2.HOW BIG IS THE EARTH ?
Ans: Satellite measurements show it is 40,075 km around the equator and 12,757 km across. The diameter between the poles is slightly less by 43 km.

 

 

 3.HOW OLD IS THE EARTH?
Ans: The Earth is about 4.6 billion years old. The oldest rock is about 3.8 billion years old. Scientists have also dated meteorites that have fallen from space, and must have formed at the same time as the Earth.

 

 

4.WHAT SHAPE IS THE EARTH?
Ans: The Earth is not quite a perfect sphere. Because it spins faster at the equator than at the Poles,Earth bulges at the equator. Scientists describe Earth’s shape as “geoid”,which simply means Earth-shaped!

 

 

5.WHAT’S SO SPECIAL ABOUT THE EARTH?
Ans: The Earth is the only planet with temperatures at which liquid can exist on the surface and is the only planet with an atmosphere containing oxygen. Water and oxygen are both needed for life.

 

 

6.WHY DOES THE EARTH SPIN?
Ans: Earth spins because there is nothing to stop it spinning. The Sun’s gravity keeps it in orbit.

 

 

7.EXACTLY HOW LONG IS A YEAR?
Ans: Every year the Earth travels once around the Sun. This epic journey covers a distance of 938,886,400 km and takes exactly 365.24 days,which gives us our calendar year of 365 days. To make up the extra 0.24 days, we add an extra day to our calendar at the end of February in every fourth year which is called the leap year and then we have to knock off a leap year every four centuries.

 

 

8. HOW LONG IS A DAY?
Ans: A day is the time Earth takes to turn once. The stars move to the same place in the sky every 23 hours, 56 minutes and 4.09 seconds (the sidereal day). Our day (the solar day)is 24 hours, because Earth is moving around the Sun, and must turn an extra for the Sun to be in the same place in the sky.

 

 

9. WHO WAS COPERNICUS?
Ans: In the 1500 s, most people thought the Earth was fixed in the centre of the universe, with the Sun and the stars revolving around it. Nicolaus Copernicus(1473-1543) was the Polish astronomer who first suggested the Earth was moving around the Sun.

 

 

 

 

 

♦ Content of the Universe click here

Filed Under: Enrich Your knowledge, Universe Tagged With: Content of Universe, the earth

THE MOON

August 16, 2020 by Souvik Leave a Comment

THE MOON 











 

 

 

1. WHAT ARE THE MOON SEAS?

Ans: The large, dark patches visible on the Moon’s surface are called seas, but in fact they are not seas at all. They are huge plains formed by lava flowing from inside the Moon.

2.WHO WERE THE FIRST MEN ON THE MOON?

Ans: The first men on the Moon were Neil Armstrong and Buzz Aldrin of the US Apollo II mission. They landed on the Moon on July 20,1969.As Armstrong set foot on the Moon, he said: “That’s one small step for (a) man, one
giant leap for mankind.”

3. WHAT IS MOONLIGHT?

Ans: The Moon is by far the brightest thing in the night sky.But it has no light of its own.Moonlight is simply the Sun’s
light reflected off the white dust on the Moon’s surface.

4. WHAT IS A LUNAR ECLIPSE?

Ans: As the Moon goes around the Earth,sometimes it passes right into Earth’s shadow, where sunlight is blocked off. This is a lunar eclipse. If you look at the Moon during this time, you can see the dark disc of the Earth’s shadow creeping across the Moon.

5. WHAT IS THE MOON?

Ans: The Moon is the Earth’s natural satellite. It has circled around the Earth for at least four billion years. It is a rocky ball about a quarter of Earth’s size and is held in its orbit by mutual gravitational attraction. Most scientists believe that the Moon formed when, early in Earth’s history, a planet smashed into it. The impact was so tremendous that nothing was left of the planet but a few hot splashes thrown back up into space.Within a day of the smash, these splashes had been drawn together by gravity to form the Moon.

6. WHAT IS A HARVEST MOON?

Ans: The harvest moon is the full moon nearest the autumnal equinox (when night and day are of equal length). This moon hangs bright above the eastern horizon for several evenings,providing a good light for harvesters.

7. WHY DOES THE MOON LOOK LIKE CHEESE?

Ans: The moon looks like Swiss cheese because it is full of holes and can appear yellowish. The holes are craters in the surface created when it was bombarded by huge rocks early on in its history.

8. WHAT IS A NEW MOON?

Ans: The Moon appears to change shape during the month because, as it circles the Earth, we see its bright, sunny side from a different angle. At the new moon, the Moon lies between the Earth and the Sun, and we catch only a crescent – shaped glimpse of its bright side. Over the first two weeks of the month, we see more and more of the bright side (waxing) until full moon,When we see all its sunny side. Cover the next two weeks, we see less and less(waning), until we get back to just a sliver-the old moon.

9. WHY DOES THE SEA HAVE TIDES?

Ans: The Moon’s gravity draws the oceans into an oval around the Earth, creating a bulge of water on each side of the world. These bulges stay beneath the Moon as the Earth spins round and so seem to run around the world making the tide rise and fall as they pass.

10. HOW LONG IS A MONTH?

Ans: It takes the Moon 27.3 days to circle the Earth, but 29.53 days from one full moon to the next, because the Earth moves as well. A lunar month is the 29.53 days cycle. Calendar months are entirely artificial.

 

 

 

 

 

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Filed Under: Enrich Your knowledge, Universe Tagged With: the moon, universe

H.S.L.C Science Question Paper-(Year-2020)

August 16, 2020 by Souvik 1 Comment

Filed Under: Previous year Question Papers Tagged With: class-10, H.S.L.C, Question paper 2020, science

পূৰণ

August 13, 2020 by Souvik Leave a Comment

 

A. দুটা অংক ৰে গঠিত সংখ্যাৰ লগত দুটা অংক ৰে গঠিত সংখ্যাৰ পূৰণ:-

 

দুটা অংক ৰে গঠিত সংখ্যাৰ লগত দুটা অংক ৰে গঠিত সংখ্যাৰ পূৰণ:-

এই পূৰণৰ বাবে আমি তিনিশাৰীৰ এটা দীঘলীয়া পদ্ধতিৰে সমাধান কৰিব লাগিব।কিন্তু নিম্নলিখিত পদ্ধতিৰে একে শাৰীতে পূৰণফল নিৰ্ণয় কৰিব পৰা যাব।

ওপৰৰ পদ্ধতিৰ নাম RCL পদ্ধতি
R – Right (সো)
C – Cross (বজ্ৰ)
L – Left (বাওঁ)

a. সোঁফালে থকা অংক দুটাৰ পূৰণ

b. ( ওপৰৰ সোঁ ফালৰ অংক × তলৰ বাওঁ ফালৰ অংক ) + ( ওপৰৰ বাওঁ ফালৰ অংক × তলৰ সোঁ ফালৰ অংক )

c. বাওঁ ফালে থকা অংক দুটাৰ পূৰণ।
Examples :

45 × 62 = ?

i. 5 × 2 = 10 ৰ 0 হাতত থাকিল 1

ii. ( 4 × 2 ) + ( 6 × 5 ) = 38 হাতৰ 1 যোগ কৰি 38 + 1 = 39 এই 39 ৰ 9 লিখা হল হাতত থাকিল 3

iii. 4 × 6 = 24 হাতৰ 3 যোগ হলে 24 + 3 = 27 এই 27 ক 90 বাওঁ ফালে বহুৱাব লাগে।

45 × 62 = 2790.

B. 3 অংক আৰু 2 অংকৰ সংখ্যাৰ পূৰণ

 

. 3 অংক আৰু 2 অংকৰ সংখ্যাৰ পূৰণ

435×23 = ?

i. 5 × 3 = 15, 15 ৰ 5 লিখি হাতত থাকিল 1

ii. (3×3) + (2×5) = 19, 19 ৰ লগত হাতৰ 1 যোগ দিলে হব 20, 20 ৰ 0 লিখি হাতত থাকিব 2

iii. (4×3) + (2×3) = 18,18 + 2(হাতৰ) = 20,20 ৰ 0 হাতত থাকিব 2

iv. 4×2 = 8, 8+2(হাতৰ) = 10

435 × 23 = 10005.

C. তিনি অংক ৰে গঠিত দুই সংখ্যাৰ পূৰণ :

 

তিনি অংক ৰে গঠিত দুই সংখ্যাৰ পূৰণ :

432 × 241 = ?

i. 2×1 = 2 ইয়াক 2 লিখক

ii. (3×4) + (4×2) = 11, 11 ৰ 1 লিখক 1 হাতত থাকিব

iii. (4×1) + (2×2) + (4×3) = 20, হাতৰ 1 যোগ কৰি 20+1 = 21, 21 ৰ 1 লিখক হাতত থাকিব 2

iv. (4×4) + (2×3) = 22 ৰ লগত 2 যোগ কৰি 22+2 = 24,এই 24 ৰ 4 লিখি 2 হাতত থাকিব

v. 4×2 = 8 হাতৰ 2 যোগ কৰি 8 + 2 = 10,এই 10 ক ___4112 ৰ বাওঁ ফালে লিখক

432 × 241 = 104112

D. চাৰি অংকৰ সংখ্যা ৰে 2 অংকৰ সংখ্যাৰ পূৰণ :

 

চাৰি অংকৰ সংখ্যা ৰে 2 অংকৰ সংখ্যাৰ পূৰণ :

6395 × 42 = ?

i. 5×2 = 10 ৰ 0 লিখক 1 হাতত থাকিব

ii. (9×2) + (5×4) = 38 ৰ লগত হাতৰ 1 যোগ কৰি 39 ৰ 9 লিখক 3 হাতত থাকিব

iii. (3×2) + (9×4) = 42 + 3 ( হাতৰ) = 45, 45 ৰ 5 লিখক হাতত থাকিব 4

iv. (6×2) + (3×4) = 24 + 4 (হাতৰ) = 28 ,28 ৰ 8 লিখক হাতত থাকিব 2

v. 6×4 =24 + 2 (হাতৰ) =26 আৰু 26 ক বাওঁ ফালে লিখক

6395 × 42 = 268590.

E. 4 আৰু 3 অংকৰ সংখ্যাৰ পূৰণ :

 

. 4 আৰু 3 অংকৰ সংখ্যাৰ পূৰণ :

3572 × 849 = ?

i. 9×2 = 18 ৰ 8 লিখক হাতত থাকিব 1

ii. (7×9) + (2×4) = 71 ৰ লগত হাতৰ 1 যোগ কৰি 72, 72 ৰ 2 লিখিব হাতত থাকিব 7

iii. (2×8) + (7×4) + (5×9) = 89 + 7(হাতৰ) = 96, 96 ৰ 6 লিখিব হাতত থাকিব 9

iv. (7×8) + (5×4) + (3×9) = 103 + 9(হাতৰ) = 112, 112 ৰ 2 লিখিব হাতত থাকিব 11

v. (8×5) + (4×3) =52+11(হাতৰ) =63 , 63 ৰ 3 লিখিব হাতত থাকিব 6

vi. 3×8 = 24 + 6(হাতৰ) = 30. এই 30 ক একেবাৰে বাওঁ ফালে লিখিব ।

3572 × 849 = 3032628.

F. দুটা 4 অংকৰ সংখ্যাৰ পূৰণ :

 

দুটা 4 অংকৰ সংখ্যাৰ পূৰণ :

9246 × 2543 = ?

i. 6×3 = 18 ৰ 8 হাতত থাকিব 1

ii. (4×3) + (6×4) =36+1(হাতৰ) = 37 ৰ 7 লিখিব হাতত থাকিব 3

iii. (6×5) + (4×4) + (2×3) = 52 + 3(হাতৰ)= 55, 55 ৰ 5 লিখিব হাতত থাকিব 5

iv. (6×2) + (9×3) + (4×5) + (2×4) = 67 + 5(হাতৰ) =72, 72 ৰ 2 লিখিব হাতত থাকিব 7

v. (9×4) + (4×2) +(2×5) =54 + 7(হাতৰ)= 61, 61 ৰ 1 লিখিব হাতত থাকিব 6

vi. (9×5) + (2×2) = 49 + 6(হাতৰ) = 55, 55 ৰ 5 লিখিব হাতত থাকিব 5

vii. 9×2 =18 + 5(হাতৰ) = 23, এই 23 ক বাওঁ ফালে লিখক।

9246 × 2543 = 23512578.

 

 

 

♦বৈদিক গণিত

 

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