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Every ________ with denominator 10 can be written in decimal notation and vice-versa.
- a)ratio
- b)decimal
- c)fraction
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Every ________ with denominator 10 can be written in decimal notation ...
Every fraction with denominator 10 can be written in decimal notation and vice-versa.
Each decimal number is a part of a whole number and can be converted into f fraction number in the form of P/Q (Fraction numbers), where P and Q are natural numbers.
Every fraction with denominator 100 can be written in decimal notation and vice-versa.
Two decimal numbers can be compared by first comparing the whole part. If the whole parts are equal then the tenth parts can be compared and so on.
One decimal number in one unit can be converted into other unit. 1 paise = `1/100 (1 part of 100) or `0.01 `0.01 = 0.01 x 100 paise = 1 paise 1gm = 1/1000 kg Or 0.001 kg (1 part of 1000) 0.001 kg = 0.001 x 1000gm = 1gm
Most Upvoted Answer
Every ________ with denominator 10 can be written in decimal notation ...
The Answer:
The correct answer is option 'c) fraction'.
Explanation:
To understand why the correct answer is 'fraction', let's first define what a fraction is and what decimal notation is.
Fractions:
A fraction is a way of representing a part of a whole or a ratio between two numbers. It consists of two parts: a numerator and a denominator. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts the whole is divided into. For example, in the fraction 3/4, the numerator is 3 and the denominator is 4. Fractions can be used to represent division, comparison, and proportion.
Decimal Notation:
Decimal notation is a way of representing numbers using a decimal point and place value system. It is based on powers of 10, where each digit to the right of the decimal point represents a fraction of a power of 10. For example, in the number 3.75, the digit 3 is in the ones place, 7 is in the tenths place, and 5 is in the hundredths place. Decimal notation is commonly used in everyday life, such as in money, measurements, and calculations.
Relation between Fractions and Decimal Notation:
Every fraction with a denominator of 10 can be written in decimal notation, and vice versa. This is because the denominator of 10 represents the number of equal parts the whole is divided into, and decimal notation represents fractions in terms of powers of 10.
When the denominator of a fraction is 10, it means that the whole is divided into 10 equal parts. Each part represents a power of 10. For example, if the denominator is 10, it means that the whole is divided into 10 equal parts, each representing 1/10 or 0.1 in decimal notation. Similarly, if the denominator is 100, it means that the whole is divided into 100 equal parts, each representing 1/100 or 0.01 in decimal notation.
On the other hand, decimal notation can be converted to fractions by expressing each digit to the right of the decimal point as a fraction of a power of 10. For example, the number 0.75 can be written as the fraction 75/100, which can be simplified to 3/4. This is because 0.75 represents 7/10 (7 tenths) and 5/100 (5 hundredths), which can be combined as 7/10 + 5/100 = 75/100 = 3/4.
Therefore, every fraction with a denominator of 10 can be written in decimal notation, and every decimal number can be converted to a fraction with a denominator of 10. This is why the correct answer is 'c) fraction' in this case.
The correct answer is option 'c) fraction'.
Explanation:
To understand why the correct answer is 'fraction', let's first define what a fraction is and what decimal notation is.
Fractions:
A fraction is a way of representing a part of a whole or a ratio between two numbers. It consists of two parts: a numerator and a denominator. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts the whole is divided into. For example, in the fraction 3/4, the numerator is 3 and the denominator is 4. Fractions can be used to represent division, comparison, and proportion.
Decimal Notation:
Decimal notation is a way of representing numbers using a decimal point and place value system. It is based on powers of 10, where each digit to the right of the decimal point represents a fraction of a power of 10. For example, in the number 3.75, the digit 3 is in the ones place, 7 is in the tenths place, and 5 is in the hundredths place. Decimal notation is commonly used in everyday life, such as in money, measurements, and calculations.
Relation between Fractions and Decimal Notation:
Every fraction with a denominator of 10 can be written in decimal notation, and vice versa. This is because the denominator of 10 represents the number of equal parts the whole is divided into, and decimal notation represents fractions in terms of powers of 10.
When the denominator of a fraction is 10, it means that the whole is divided into 10 equal parts. Each part represents a power of 10. For example, if the denominator is 10, it means that the whole is divided into 10 equal parts, each representing 1/10 or 0.1 in decimal notation. Similarly, if the denominator is 100, it means that the whole is divided into 100 equal parts, each representing 1/100 or 0.01 in decimal notation.
On the other hand, decimal notation can be converted to fractions by expressing each digit to the right of the decimal point as a fraction of a power of 10. For example, the number 0.75 can be written as the fraction 75/100, which can be simplified to 3/4. This is because 0.75 represents 7/10 (7 tenths) and 5/100 (5 hundredths), which can be combined as 7/10 + 5/100 = 75/100 = 3/4.
Therefore, every fraction with a denominator of 10 can be written in decimal notation, and every decimal number can be converted to a fraction with a denominator of 10. This is why the correct answer is 'c) fraction' in this case.
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Every ________ with denominator 10 can be written in decimal notation ...
Correct answer is option C
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Every ________ with denominator 10 can be written in decimal notation and vice-versa.a)ratiob)decimalc)fractiond)None of theseCorrect answer is option 'C'. Can you explain this answer?
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