Question
Is the product of two rational numbers always a rational number ?Explain with an example.
Hint:
Use the property of rational numbers
The correct answer is: Use the property of rational numbers
Complete step by step solution:
Product of 2 rational numbers is always a rational number.
That is, if we have 2 rational numbers a and b, then their product a 
b is also rational.
For example,
Let 
and 
which is again a rational number.
and which is again a rational number.Related Questions to study
Brie designed a carnival game that involves tossing a beanbag into the box shown. In order to win a prize , the beanbag must fall inside the black rectangle . The Probability of winning is equal to the ratio of the area of the black rectangle to the total area of the face of the box shown. Find this probability in simplified form .
Brie designed a carnival game that involves tossing a beanbag into the box shown. In order to win a prize , the beanbag must fall inside the black rectangle . The Probability of winning is equal to the ratio of the area of the black rectangle to the total area of the face of the box shown. Find this probability in simplified form .
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Write the equation in slope-intercept form of the line that passes through the points (2, 1.5) and (0, 4.5).
The slope intercept form is a technique for determining a straight line's equation in the coordinate plane.
¶A graph of the linear equation y = mx + c is a straight line with slope m and y-intercept c. It is known as the slope-intercept form of the linear equation, and m and c are real numbers.
¶The slope, m, of a line represents its steepness. Sometimes the slope of a line is referred to as the gradient. A line's y-intercept, b, represents the y-coordinate of the point where the line's graph intersects the y-axis. Note: The y-coordinates intercepts are always (0, y) because the line whose equation needs to be determined always intersects the y-axis at x = 0.
Write the equation in slope-intercept form of the line that passes through the points (2, 1.5) and (0, 4.5).
The slope intercept form is a technique for determining a straight line's equation in the coordinate plane.
¶A graph of the linear equation y = mx + c is a straight line with slope m and y-intercept c. It is known as the slope-intercept form of the linear equation, and m and c are real numbers.
¶The slope, m, of a line represents its steepness. Sometimes the slope of a line is referred to as the gradient. A line's y-intercept, b, represents the y-coordinate of the point where the line's graph intersects the y-axis. Note: The y-coordinates intercepts are always (0, y) because the line whose equation needs to be determined always intersects the y-axis at x = 0.
Find the simplified product , and state the domain .
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What is the quotient of 
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What is the simplified form of each rational expression ? What is the domain ?
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Write the equation in slope-intercept form of the line that passes through the points (-2, -1) and (0, -5).
If the slope of the line is to be examined and the given point is also the
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¶y-intercept point is represented by the symbol b in the formula. If we know the slope between two points on a line, we can use that information to solve for the y-intercept in the slope-intercept equation y=mx+b. Here, we'll develop an equation for the line that connects the points (-1, 6) and (5,-4)
Write the equation in slope-intercept form of the line that passes through the points (-2, -1) and (0, -5).
If the slope of the line is to be examined and the given point is also the
¶y-intercept, you can apply the slope-intercept formula, y = mx + b. (0, b). The y value of the
¶y-intercept point is represented by the symbol b in the formula. If we know the slope between two points on a line, we can use that information to solve for the y-intercept in the slope-intercept equation y=mx+b. Here, we'll develop an equation for the line that connects the points (-1, 6) and (5,-4)
