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What is 5x101?

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Anonymous

12y ago
Updated: 12/22/2022

5 x 100 = 500

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Clark Schimmel

Lvl 9
2y ago

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What is 5x101 estimated?

5 x 100 = 500


What does it mean when a number written inscientific notation has positive exponent?

5x10-3 = 0.005 5x10-2 = 0.05 5x10-1 = 0.5 5x100 = 5 5x101 = 50 5x102 = 500 5x103 = 5000 ...


How many base quantities are there?

Base numbers are the base of a number. The Hindu-Arabic numeric system that is used throughout the world today is a decimal system. It has 10 unique symbols to represent the digits (0 to 9) and is therefore a base-10 numeric system. Moreover, because the digit zero is used as a place-holder, it is also a positional numbering system.The number of available digits in any system determines the base. However, in positional systems, the position of a digit determines its actual value. The positions are all powers of the base such that basen is the value of the nth digit to the left of the decimal point (the radix), while base-n is the value of nth digit to the right of the radix.Thus the symbol 15 in decimal is 1x102 + 5x101, or 10 + 5. All other bases work exactly the same way.Base-2 has two symbols, 0 and 1, and the position relative to the radix denotes an increasing or decreasing power of two. Base-3 uses three symbols, 0, 1 and 2. And so on to base 9 which uses nine symbols, 0 through 8.Base-11 requires eleven symbols and introduces the letter A to represent decimal value 10. We continue adding letters for base-12 through base-36, where Z represents the decimal value 35. Thus all decimal values in the range 0 to 35 can be represented with a single digit in the range 0-9 and A-Z. For higher bases, the convention is to use upper case letters to symbolise values in the range 10 through 35 and lower case letters for values 36 through 61. Thus the highest base we can symbolise this way is base-62.Symbolising bases higher than 62 requires more symbols, but the simplest convention is to use a multiple of a lower base, such that base-3 can be used to produce base-63 symbols, while base-16 can be used to produce base-64. The only bases that can't be easily represented are those that are prime-based, such as base-67.To differentiate numbers in different bases, we use a subscript to denote the base. Thus 1510 tells us this is a base-10 (decimal) number while 1516 tells us that it is a base-16 number (which would be 21 in decimal).Although we use base-10 for everyday purposes, some early systems are still used today, often without us realising it. For instance, circles are still divided into 360 degrees while hours are still divided into 60 minutes. This is because both systems originated from the Babylonian sexagesimal system, which is intrinsically base-60. This was chosen because it is evenly divisible by 2, 3, 4, 5 and 6, making it more granular than decimal which is only evenly divisible by 2 and 5.However, it is in the field of computing and mathematics in particular that base numbers come into their own. Even before computers, mathematicians would regularly use other bases to provide the best granularity for their calculations. As a result, the relationship between the different bases had been well established long before the invention of the binary computer. Hence the earliest programmers were mathematicians. Entering long sequences of 0s and 1s by hand was laborious and prone to error, but they knew that any base that was itself a power of two (base-4, base-8, base-16 and so on) could be used to enter binary code more easily, using shorter codes, provided the computer was programmed to convert those symbols to binary. Since these bases were directly related, the programming was trivial. Base-8 (octal) was initially chosen as each octal digit (0-7) represents 3 bits of binary data. However, when the 8-bit byte became the norm, base-16 (hexadecimal) was chosen instead because each hex digit represented 4-bits, or half byte (a nybble). Although modern computer programming languages allow programmers to use decimal values for input, we still use hexadecimal as it's much easier when dealing with binary mathematics, which is the only language that the hardware actually understands. Hence all programmers are familiar with base-2, base-4, base-8 and base-16, as well as base-10.Answerit is just a way of specifying what type of number system is being used. Standard numbers that we use in everyday life is base-10. Binary is base-2 and hexadecimal is base-16For example:10 -Base-101010 -Base-2A -Base-16