1.
Decimal numeral system or base ten positional numeral is also called?
Correct Answer
C. Denary
Explanation
The correct answer is "Denary". The decimal numeral system, also known as the base ten positional numeral system, is commonly referred to as "denary". This system uses ten digits (0-9) to represent numbers and is widely used in everyday life for counting and arithmetic operations.
2.
Decimal is the standard system for denoting integer and non-integer?
Correct Answer
C. Number
Explanation
The correct answer is "Number" because the decimal system is used to represent both integer and non-integer numbers. In this system, numbers are represented using the digits 0-9 and the decimal point. The digits to the left of the decimal point represent the integer part of the number, while the digits to the right represent the fractional part. Therefore, the decimal system is the standard system for denoting numbers, both whole and decimal.
3.
The way of denoting numbers in the decimal system is referred to as?
Correct Answer
A. Decimal notation
Explanation
The way of denoting numbers in the decimal system is referred to as decimal notation. This system uses the digits 0-9 and a decimal point to represent numbers, with each digit's position indicating its value relative to the decimal point. It is the most commonly used number system in everyday life and is used for calculations involving fractions and decimals.
4.
Decimal and place value is the extension of non-integer numbers of?
Correct Answer
B. Hindu-Arabic numeral system
Explanation
Decimal and place value is the extension of non-integer numbers of the Hindu-Arabic numeral system. The Hindu-Arabic numeral system, also known as the decimal numeral system, is a positional numeral system that uses a base of ten. It is the most widely used numeral system in the world today and is used by most cultures for everyday arithmetic. The system allows for the representation of non-integer numbers by using decimal points and place values. Therefore, the Hindu-Arabic numeral system is the correct answer for this question.
5.
- Decimal numeral refers to the notation of a number in the decimal system which contains?
Correct Answer
D. Dot
Explanation
The correct answer is "Dot" because in the decimal system, a dot is used to separate the whole number part from the fractional part. For example, in the number 3.14, the dot separates the 3 (whole number part) from the 14 (fractional part).
6.
The number that may be represented in the decimal system is?
Correct Answer
D. Decimal Fraction
Explanation
A decimal fraction is a number that can be represented in the decimal system, which is the most commonly used number system. In the decimal system, numbers are represented using a combination of digits (0-9) and a decimal point to indicate the position of the fractional part. This allows for the representation of both whole numbers and fractions in a clear and concise manner. Therefore, a decimal fraction is the correct answer as it is the only option that can be represented in the decimal system.
7.
The decimal system has been extended to infinite decimals, for representing any?
Correct Answer
D. Real number
Explanation
The decimal system has been extended to infinite decimals in order to represent any real number. Real numbers include both rational numbers (which can be expressed as a fraction) and irrational numbers (which cannot be expressed as a fraction and have non-repeating decimal representations). Therefore, the decimal system allows for the representation of all types of real numbers, making "Real number" the correct answer.
8.
For writing numbers, the decimal system uses ten?
Correct Answer
D. All of the above
Explanation
The statement "For writing numbers, the decimal system uses ten" is true. In the decimal system, numbers are represented using ten digits (0-9). Additionally, the decimal mark (usually a period or a comma) is used to separate the whole number part from the fractional part in decimal numbers. Lastly, the decimal system also allows for the representation of negative numbers, using a negative sign (-) before the number. Therefore, all of the given options are correct explanations for the statement.
9.
Positional notation is a method of representing or encoding?
Correct Answer
D. Number
Explanation
Positional notation is a method of representing or encoding numbers. It involves using different symbols or digits to represent different values depending on their position in the number. In this case, the hundredths position refers to the third digit after the decimal point in a number. Therefore, the correct answer is "Number" because positional notation is used to represent numbers.
10.
In the decimal system, the radix is 10, because it uses the digits from?
Correct Answer
A. 0 through 9
Explanation
The decimal system uses the digits from 0 through 9 because these ten digits, when combined in different positions, allow for the representation of all numbers in the decimal system. The radix, or base, of the decimal system is 10 because it is based on powers of 10. Each digit's value is determined by its position in the number, with the rightmost digit representing ones, the next digit representing tens, and so on. Therefore, the correct answer is 0 through 9.