Any time you throw a zero in there, the answer will be zero.
To write the number 100102200 in expanded form, you break it down according to the value of each digit. It can be expressed as: (1 \times 10^8 + 0 \times 10^7 + 0 \times 10^6 + 1 \times 10^5 + 0 \times 10^4 + 2 \times 10^3 + 2 \times 10^2 + 0 \times 10^1 + 0 \times 10^0). Simplifying this, it becomes (100000000 + 0 + 0 + 100000 + 0 + 2000 + 200 + 0 + 0), which equals (100000000 + 100000 + 2000 + 200).
The binary number 01110 in base 10 can be calculated by multiplying each digit by 2 raised to the power of its position, starting from the right (position 0). This gives: (0 \times 2^4 + 1 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 0 \times 2^0), which simplifies to (0 + 8 + 4 + 2 + 0 = 14). Therefore, 01110 in base 10 is 14.
Any value raised to the power 'zero'(0) equals '1'. Hence 2^(0) = 1 10 ^(0) = 1 Hence 2^(0) X 10^(0) = 1 x 1 = 1 the answer.
To find the base 10 representation of the binary number 1100110, first convert it to decimal. The binary number 1100110 equals (1 \times 2^6 + 1 \times 2^5 + 0 \times 2^4 + 0 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 0 \times 2^0), which calculates to (64 + 32 + 0 + 0 + 4 + 2 + 0 = 102). Now, raising this to the power of two, (102^2) equals 10,404.
The binary number 1010 is equal to the decimal number 10. This is calculated by taking each digit in the binary number, multiplying it by 2 raised to the power of its position (from right to left, starting at 0). Therefore, (1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 0 \times 2^0 = 8 + 0 + 2 + 0 = 10).
To write the number 100102200 in expanded form, you break it down according to the value of each digit. It can be expressed as: (1 \times 10^8 + 0 \times 10^7 + 0 \times 10^6 + 1 \times 10^5 + 0 \times 10^4 + 2 \times 10^3 + 2 \times 10^2 + 0 \times 10^1 + 0 \times 10^0). Simplifying this, it becomes (100000000 + 0 + 0 + 100000 + 0 + 2000 + 200 + 0 + 0), which equals (100000000 + 100000 + 2000 + 200).
The binary number 01110 in base 10 can be calculated by multiplying each digit by 2 raised to the power of its position, starting from the right (position 0). This gives: (0 \times 2^4 + 1 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 0 \times 2^0), which simplifies to (0 + 8 + 4 + 2 + 0 = 14). Therefore, 01110 in base 10 is 14.
Any value raised to the power 'zero'(0) equals '1'. Hence 2^(0) = 1 10 ^(0) = 1 Hence 2^(0) X 10^(0) = 1 x 1 = 1 the answer.
The binary number 10000001 represents the value of 129 in base 10. This is calculated by taking each digit of the binary number, multiplying it by 2 raised to the power of its position (from right to left, starting at 0). Specifically, (1 \times 2^7 + 0 \times 2^6 + 0 \times 2^5 + 0 \times 2^4 + 0 \times 2^3 + 0 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 = 128 + 1 = 129).
To find the base 10 representation of the binary number 1100110, first convert it to decimal. The binary number 1100110 equals (1 \times 2^6 + 1 \times 2^5 + 0 \times 2^4 + 0 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 0 \times 2^0), which calculates to (64 + 32 + 0 + 0 + 4 + 2 + 0 = 102). Now, raising this to the power of two, (102^2) equals 10,404.
To convert the number 210 from base 5 to base 10, you calculate it as follows: (2 \times 5^2 + 1 \times 5^1 + 0 \times 5^0). This equals (2 \times 25 + 1 \times 5 + 0 \times 1), which simplifies to (50 + 5 + 0 = 55). Therefore, 210 in base 5 is 55 in base 10.
In expanded notation using powers of ten, 250,000 can be expressed as (2 \times 10^5 + 5 \times 10^4 + 0 \times 10^3 + 0 \times 10^2 + 0 \times 10^1 + 0 \times 10^0). Simplifying this, it becomes (2 \times 100,000 + 5 \times 10,000). Thus, the expanded form is (200,000 + 50,000).
Jon can expand 81.402 using powers of ten by breaking it down into its place values. This can be expressed as (8 \times 10^1 + 1 \times 10^0 + 4 \times 10^{-1} + 0 \times 10^{-2} + 2 \times 10^{-3}). In simplified form, this is (80 + 1 + 0.4 + 0 + 0.002). Therefore, the expanded form is (80 + 1 + 0.4 + 0.002).
The number 81.402 can be expressed in expanded form using powers of 10 as follows: (8 \times 10^1 + 1 \times 10^0 + 4 \times 10^{-1} + 0 \times 10^{-2} + 2 \times 10^{-3}). This breaks down each digit according to its place value in the decimal system.
The number 11011 in base 2 (binary) is equal to 27 in base 10 (decimal). This is calculated by taking each digit, multiplying it by 2 raised to the power of its position (from right to left, starting at 0): (1 \times 2^4 + 1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 1 \times 2^0 = 16 + 8 + 0 + 2 + 1 = 27).
527,519 = 500,000 + 20,000 + 500 + 10 + 9 5 4 2 1 ( 5 times 10 ) + ( 2 times 10 ) + ( 5 times 10 ) + (1 times 10 ) + 0 ( 9 times 10 ) 5 times 1,000,000 + 2 times 10,000 + 1 times 10 + 9 times 1
The sequence "110101" is a binary number, which is a base-2 numeral system that uses only two digits: 0 and 1. In decimal (base-10), this binary number converts to 53. Each digit represents a power of 2, starting from the rightmost digit, which represents (2^0), and moving left. Therefore, it can be calculated as (1 \times 2^5 + 1 \times 2^4 + 0 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0).