Question

In the following exercise, multiply or divide.

(a)$-3·9$

(b)$9\left(-7\right)$

(c)$35÷\left(-7\right)$

(d)$-84÷\left(-6\right)$

Short answer

Part (a) The result of multiplication is $-27$.

Part (b) The result of multiplication is $-63$.

Part (c) The result of division is $-5$.

Part (d) The result of division is 14.

Step-by-step solution

Part (a) Step 1. Concept Used.

The result of multiplication or division of two numbers with same sign, is positive and with different signs, is negative.

Part (a) Step 2. Calculation.

Multiply 9 with opposite of 3.

$-3·9=-27$

Part (b) Step 1. Concept Used.

The result of multiplication or division of two numbers with same sign, is positive and with different signs, is negative.

Part (b) Step 2. Calculation.

Multiply 9 with opposite of 7.

$9\left(-7\right)=-63$

Part (c) Step 1. Concept Used.

The result of multiplication or division of two numbers with same sign, is positive and with different signs, is negative.

Part (c) Step 2. Calculation.

Divide 35 by the opposite of 7.

$35÷\left(-7\right)=-5$

Part (d) Step 1. Concept Used.

The result of multiplication or division of two numbers with same sign, is positive and with different signs, is negative.

Part (d) Step 2. Calculation.

Divide the opposite of 84 by the opposite of 6.

$-84÷\left(-6\right)=14$