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Rajasthan Patwari Complete Course

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Ordered Rajasthan Patwari lessons and chapter tests

Lessons

Rajasthan General Knowledge

1 lesson
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Mathematics

2 lessons
  1. 2Lesson 1 - Introduction to Mathsmaths basicVideo1 practice testOpenView lessonHide lesson

    1. Digits vs Numbers

    We have only 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
    Every other number is just these digits combined. Like letters make words.

    2. Place Value - The Main Rule

    Where a digit sits decides its value.

    We read from RIGHT to LEFT:

    • Ones:
    1 \\times

    digit

    • Tens:
    10 \\times

    digit

    • Hundreds:
    100 \\times

    digit

    • Thousands:
    1000 \\times

    digit

    Key Trick: Each place is 10 times bigger than the place to its right.

    Take 4,582 from the chart:

    • 2 is in Ones place =
    2 \\times 1 = 2
    • 8 is in Tens place =
    8 \\times 10 = 80
    • 5 is in Hundreds place =
    5 \\times 100 = 500
    • 4 is in Thousands place =
    4 \\times 1000 = 4000

    3. Expanded Form

    This is how we show we really understood it:

    4582 = 4000 + 500 + 80 + 2

    That's it. Every big number is just addition of its places.

    4. The 4 Operations You Will Use

    Everything in maths is one of these:

    • + Addition: Putting together (4 + 2 = 6)
    • - Subtraction: Taking away (6 - 2 = 4)
    • x Multiplication: Repeated addition (
    3 \\times 4 = 4+4+4 = 12

    )

    • ÷ Division: Sharing equally (
    12 \\div  3 = 4

    )

    If you master place value, the 4 operations become 10x easier.

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Practice this lesson

  • MATHS MOCK TEST 11 question | 1 minStart
  • 3bits and bytesOpenView lessonHide lesson

    1. What is a BIT?

    BIT = Binary Digit. The smallest unit in a computer.

    It's just a switch:

    • 0 = OFF - light off, no electricity
    • 1 = ON - light on, electricity flowing

    That's it. A computer can't think "A" or "5" directly, it only understands ON/OFF.

    2. What is a BYTE?

    1 BYTE = 8 BITS

    Why 8? Because with 8 switches you get

    2^8 = 256

    different combinations. That's enough to store every letter, number, and symbol on your keyboard.

    Example from the image:
    01010110 = 1 byte = 1 character (like "V")

    So:

    • 1 bit = can be 0 or 1
    • 8 bits = 1 byte = 1 letter like A or a

    3. From Small to BIG - Storage Scale

    This is where it connects to your real life:

    UnitStands forHow big is it?Real Example
    KBKilobyte\~ 1,000 bytes1 small email
    MBMegabyte\~ 1,000 KB1 photo
    GBGigabyte\~ 1,000 MB1 hour of HD video, your phone RAM
    TBTerabyte\~ 1,000 GBYour laptop hard disk
    PBPetabyte\~ 1,000 TBAll of YouTube's storage
    Tech note: Computers technically use 1024, not 1000 (1 KB = 1024 bytes). Companies simplify it to 1000 for us. For basics, remember 1000.

    4. The Most Confusing Part: b vs B

    This is important:

    • b = small bit - Used for internet speed. Your 100 Mbps internet = 100 Mega bits per second.
    • B = Capital Byte = 8 times bigger. Used for file size. A 100 MB file.

    So 100 Mbps speed will download a 100 MB file in about 8 seconds, not 1 second.

    5. Quick Binary Math

    Just like decimal place value was

    1, 10, 100, 1000

    ... Binary place value is

    1, 2, 4, 8, 16...

    Example: Binary 101 =

    1 \\times 4 + 0 \\times 2 + 1 \\times 1 = 5

    in normal numbers.