No not always true. Say you have a mixed number of 4 and 9/10 tines a fraction 9/10 you have 49/10 x 9/10 = 441/100 = 4.41 which is greater than 4
A fraction multiplied by its reciprocal is always equal to one. This is because the reciprocal is an inversion of the fraction. The denominator of a fraction is the same number as the numerator of the reciprocal, and vice versa. The product of this is a fraction with the same numbers for the denominator and reciprocal, which is also known as an equivalent fraction. Equivalent fractions are always equal to one.
To answer this question, we can consider the range of possible values for the product. A mixed number between 4 and 5 can be written as a number greater than or equal to 4 but less than 5. When multiplied by a fraction between 0 and 1, the product will always be less than the original mixed number. This is because multiplying by a fraction less than 1 will always result in a smaller value. Therefore, the product of a mixed number between 4 and 5 and a fraction between 0 and 1 will always be less than 4.
The only generalisation posible is that it will always be a rational number. The product can be positive or negative; it can be a fraction or an integer, it can be larger or smaller.
No, and it is not always less than 4, either.
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A fraction multiplied by its reciprocal is always equal to one. This is because the reciprocal is an inversion of the fraction. The denominator of a fraction is the same number as the numerator of the reciprocal, and vice versa. The product of this is a fraction with the same numbers for the denominator and reciprocal, which is also known as an equivalent fraction. Equivalent fractions are always equal to one.
No. The product of a mixed number between 4 and 5 and a fraction between 0 and 1 is always less than 5, but is not always less than 4.
To answer this question, we can consider the range of possible values for the product. A mixed number between 4 and 5 can be written as a number greater than or equal to 4 but less than 5. When multiplied by a fraction between 0 and 1, the product will always be less than the original mixed number. This is because multiplying by a fraction less than 1 will always result in a smaller value. Therefore, the product of a mixed number between 4 and 5 and a fraction between 0 and 1 will always be less than 4.
The only generalisation posible is that it will always be a rational number. The product can be positive or negative; it can be a fraction or an integer, it can be larger or smaller.
No, and it is not always less than 4, either.
They are not. Sometimes they are irrational. Irrational numbers cannot be expressed as a fraction.
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Yes, the product of two mixed numbers that are each between 4 and 5 will be between 16 and 25. The smallest product occurs when both numbers are at their minimum (4 * 4 = 16), and the largest product occurs when both numbers are at their maximum (5 * 5 = 25). Therefore, the product will always fall within this range.
Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
No, it is not true.
The statement is false.
No.