Question 1

Q1: Name the property under multiplication used in each of the following. (i) $\frac{-4}{5} 	imes 1=1 	imes \frac{-4}{5}=-\frac{4}{5}$ (ii) $-\frac{13}{...

Accepted Answer

(i) $\frac{-4}{5} 	imes 1=1 	imes \frac{-4}{5}=-\frac{4}{5}$ Property: Multiplicative Identity. Reason: The number 1 is the multiplicative identity for rational numbers. For any rational number $a$, $a 	imes 1 = 1 	imes a = a$. (ii) $-\frac{13}{17} 	imes \frac{-2}{7}=\frac{-2}{7} 	imes \frac{-...

Question 2

Q2: Tell what property allows you to compute $\frac{1}{3} 	imes\left(6 	imes \frac{4}{3}ight)$ as $\left(\frac{1}{3} 	imes 6ight) 	imes \frac{4}{3...

Accepted Answer

Property: Associativity of multiplication. Reason: This property states that for any three rational numbers $a$, $b$, and $c$, the way in which the numbers are grouped in multiplication does not change the result. The property is expressed as: $$a 	imes (b 	imes c) = (a 	imes b) 	imes c$$ In thi...

Question 3

Q3: The product of two rational numbers is always a __________.

Accepted Answer

Answer: rational number Reason: This is due to the closure property of rational numbers under multiplication. The closure property states that if you multiply any two rational numbers, the result will also be a rational number.

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