The sum of two nonzero rational numbers is rational.
Always true
The sum of a nonzero rational number and an irrational number is rational.
Sometimes true
The product of two irrational numbers is irrational.
Sometimes true
The product of a nonzero rational number and an irrational number is rational.
Never true
Consider the sums and products of nonzero rational numbers and irrational numbers.
Move the options to the spaces to show whether each statement is always true, sometimes true, or never true.
The sum of two nonzero rational numbers is rational.
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The sum of a nonzero rational number and an irrational number is rational.
Blank space 5 empty
The product of two irrational numbers is irrational.
Blank space 6 empty
The product of a nonzero rational number and an irrational number is rational.
Blank space 7 empty
1 answer