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Is the product of a 4-digit number and a 1-digit number always a 4-digit number Explain?
This is not true. Think about any 4 digit multiplied by 1. This remains a 4 digit. In the case of any 4 digit under 5000, multiplied by two would also be a 4 digit number
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What is the product of two numbers that are reciprocals of one another explain why this is always the case?
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.
Is the product of two negative integers always negative?
That is false. The product of two negative integers is always positive.
Is the product of two negative numbers always a real negative number?
No, the product of two negative numbers is always a positive.
Is the product of two rational numbers irrational?
The product of two rational numbers is always a rational number.
What is the product of a number and its recprocal?
The product of a number and its reciprocal is always 1 - by definition.
