Question

True or false -
1 - to add and subtract decimals there is no need to convert all the decimal to like decimals.
2 - to divide a fraction by another fraction divide the numerator of the dividend by the numerator of the divisor and divide the developed the dividend by the numerator of the divisor.
3 - reciprocal of the reciprocal of a fraction itself.
4 - the product of a fraction and its reciprocal is 1.
5 - a natural number cannot be written as a decimal number.
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Answer 1

1. False - To add and subtract decimals, it is necessary to convert all the decimals to like decimals. Like decimals have the same number of decimal places. For example, when adding 0.2 and 0.15, we need to convert 0.2 to 0.20 to make both decimals have two decimal places.

2. False - To divide a fraction by another fraction, we multiply the dividend by the reciprocal of the divisor. We invert the divisor (flipping the numerator and denominator) and then multiply it by the dividend. For example, to divide 3/4 by 2/5, we multiply 3/4 by 5/2.

3. True - The reciprocal of a fraction is obtained by flipping the numerator and denominator. Taking the reciprocal of a fraction twice results in the original fraction. For example, if we have the fraction 2/3, its reciprocal is 3/2. Taking the reciprocal of 3/2 gives us 2/3 again.

4. True - The product of a fraction and its reciprocal is always 1. When we multiply a fraction by its reciprocal, the numerator and denominator cancel each other out, resulting in 1. For example, if we have the fraction 2/3 and its reciprocal is 3/2, their product is equal to 1.

5. False - A natural number can be written as a decimal number. Decimal numbers can represent both whole numbers and fractions. For example, the natural number 5 can be written as the decimal number 5.0. However, not all natural numbers have finite decimal representations. For instance, the natural number 1/3 cannot be expressed as a finite decimal but can be represented as an infinite decimal (0.333...).

To learn more about Decimal number from the given link.

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