Numbers

Yes, 95 is a rational number because it can be expressed as the fraction 95/1, where both the numerator and denominator are integers and the denominator is not zero. Rational numbers are defined as numbers that can be represented as a fraction of two integers. Therefore, since 95 meets this criterion, it is classified as a rational number.

An alphabetical list of items contained in a printed work, typically found at the back of the book, is called an "index." The index provides page numbers for where specific topics, names, or terms can be located within the text, making it easier for readers to find information quickly. It serves as a valuable reference tool, enhancing the usability of the printed work.

Fifty-three thousand four hundred five is written as 53,405 in numerical form. In words, it breaks down into "fifty-three" for the thousands, "four hundred" for the hundreds, and "five" for the units. Therefore, the complete written form is "fifty-three thousand four hundred five."

7039 is already expressed as an integer. It is a whole number, specifically a positive integer, and does not have any fractional or decimal components. In numerical terms, it stands between 7038 and 7040 on the number line.

I'm sorry, but I can't provide personal contact information for individuals, including phone numbers. If you need to reach someone, I recommend using official channels or social media.

The two numbers that have an absolute value of 16 are 16 and -16. Absolute value measures the distance of a number from zero on the number line, so both positive and negative versions of the number yield the same absolute value.

The sign rules for simplifying expressions with rational numbers are similar to those for integers in that they both follow the same basic principles: a positive times a positive is positive, a negative times a negative is positive, and a positive times a negative is negative. This consistency ensures that the operations on rational numbers maintain the same logical structure as those on integers. Consequently, when performing operations like addition, subtraction, multiplication, or division, the sign of the result can be determined using the same rules regardless of whether the numbers involved are rational or integers.

Yes, 8.888888 is a rational number because it can be expressed as a fraction. Specifically, it can be represented as ( \frac{88}{10} ) or ( 8 + \frac{8}{90} ), which simplifies to ( \frac{80}{9} ). Since it can be expressed as the quotient of two integers, it qualifies as a rational number.

Positive whole numbers are called "natural numbers," which include all the positive integers starting from 1 (i.e., 1, 2, 3, ...). Negative whole numbers, on the other hand, do not have a specific term like "natural numbers," but they can simply be referred to as "negative integers" (i.e., -1, -2, -3, ...). Together, positive and negative whole numbers, along with zero, comprise the set of "integers."

The number of neutrons in an atom is determined by subtracting the atomic number (number of protons) from the atomic mass number (total number of protons and neutrons) of that element. For example, carbon has an atomic number of 6 and an atomic mass number of about 12, so it has approximately 6 neutrons (12 - 6 = 6). The exact number of neutrons can vary in isotopes of an element.

The binary number system is a base-2 numeral system that uses only two digits: 0 and 1. It is fundamental in digital electronics and computer science because it aligns with the on/off states of electronic circuits. Each binary digit (bit) represents an increasing power of 2, enabling the representation of any numerical value through combinations of these two digits. For example, the binary number 1011 represents the decimal number 11.

No, an even product cannot have an odd factor. This is because an even number is defined as any integer that is divisible by 2, meaning it includes at least one factor of 2. Since odd numbers are not divisible by 2, any factor of an even product must also include a factor of 2, making it impossible for the product to contain an odd factor.

To find three numbers that multiply together to make 255, one possible combination is 3, 5, and 17, since (3 \times 5 \times 17 = 255). Another combination could be 1, 15, and 17, as (1 \times 15 \times 17 = 255) as well. There are multiple combinations, but these are two valid examples.

Three hundred and eight added to four hundred and two equals seven hundred and ten.

The number 1,000,000,000,000,000,000,000,000,000,000,000,000,000 is written in scientific notation as (1 \times 10^{39}) and is called one nonillion in the short scale commonly used in the United States. In the long scale, it would be referred to as one quindecillion. This enormous number is often used in contexts involving large quantities, such as in scientific calculations or theoretical discussions.

The Roman numeral LXXXV represents the numerical value 85. In this notation, L stands for 50, and three X's (XXX) add 30, resulting in a total of 80. When you add the 5 (V) to 80, you get 85.

To convert the decimal 0.47777 into rational form, let ( x = 0.47777). Since the decimal repeats, we can express it as ( x = 0.47777...). Multiply both sides of the equation by 10, giving ( 10x = 4.7777...). Next, subtract the original equation from this new equation: ( 10x - x = 4.7777... - 0.47777...), resulting in ( 9x = 4.3). Thus, ( x = \frac{4.3}{9} = \frac{43}{90} ) after converting the decimal 4.3 into a fraction.

No, negative 2 is not a whole number or a counting number. Whole numbers are defined as non-negative integers, which include 0, 1, 2, and so on. Counting numbers, also known as natural numbers, start from 1 and go upwards (1, 2, 3, etc.), excluding zero and any negative numbers.

Numbers that aren't integers include fractions, decimals, and irrational numbers. For example, 0.5, -3.75, and the square root of 2 (approximately 1.414) are all non-integer numbers. These numbers can be represented on the number line but do not fit within the whole number category, which includes positive and negative integers, as well as zero.

The word form of 5000000000000000000000000 is "five septillion." In the short scale numbering system used in the US and modern British English, each group of three zeros is referred to as a "thousand," and each subsequent group of three zeros is represented by a higher unit (million, billion, trillion, quadrillion, quintillion, sextillion, septillion, etc.).

Yes, 12.34 is a rational number because it can be expressed as a fraction. Specifically, it can be written as 1234/100, where both the numerator and denominator are integers. Rational numbers are defined as numbers that can be represented as the quotient of two integers, and since 12.34 fits this definition, it is indeed rational.

Let the two consecutive numbers be ( n ) and ( n+1 ). The difference of their cubes can be expressed as ( (n+1)^3 - n^3 = 3n^2 + 3n + 1 ). Setting this equal to 631 gives the equation ( 3n^2 + 3n + 1 = 631 ). Solving for ( n ) leads to ( 3n^2 + 3n - 630 = 0 ), which simplifies to ( n^2 + n - 210 = 0 ). Factoring or using the quadratic formula, we find ( n = 14 ) or ( n = -15 ). Therefore, the consecutive numbers are 14 and 15.

Yes, -15.5 repeating (often written as -15.555...) is a rational number. Rational numbers can be expressed as the quotient of two integers, and in this case, -15.5 repeating can be represented as the fraction -31/2. Since it can be expressed in this form, it is classified as a rational number.

Computers use the hexadecimal number system because it simplifies binary representation, making it easier for humans to read and understand. Each hexadecimal digit corresponds to four binary digits (bits), allowing for a more compact representation of binary data. This is particularly useful in programming and debugging, as it reduces the complexity of handling long binary strings. Additionally, hexadecimal aligns well with computer architecture, which often operates on byte-sized data (8 bits).

Since 0.25 is a rational number, you need to add another rational number. Any rational number will do.

Try .75. Then you will get 1.