Multiplying and dividing real numbers

If a = 4 and b = (-3), find ab.

• -12

• 12

• -3/4

• -4/3

Answer explanation

$ab=4\cdot\left(-3\right)=-12$

Tags

CCSS.7.NS.A.2B

CCSS.7.NS.A.2A

If a = 4, c = (-1/2), find a/c.

• -2

• 2

• 8

• -8

Answer explanation

$a\div c=4\div\left(-\frac{1}{2}\right)=4\cdot\left(-2\right)=-8$

Tags

CCSS.7.NS.A.2B

If b = (-3) and c = (-1/2), find bc.

• 3/2

• -3/2

• 6

• -6

Answer explanation

$bc=\left(-3\right)\cdot\left(-\frac{1}{2}\right)=\frac{3}{2}$

Tags

CCSS.7.NS.A.2A

If a = 4 and c = (-1/2), find c/a.

• -2

• 2

• -1/8

• 1/8

Answer explanation

$c\div a=\left(-\frac{1}{2}\right)\div4=\left(-\frac{1}{2}\right)\cdot\frac{1}{4}=-\frac{1}{8}$

Tags

CCSS.7.NS.A.2B

If p is positive and n is negative, pn is

• positive

• negative

• zero

• undefined

Answer explanation

positive times negative = negative
e.g.

$2\cdot\left(-3\right)=-6$

Tags

CCSS.7.NS.A.2B

CCSS.7.NS.A.2A

If p is positive, n is negative, and z is zero, pnz is

• positive

• negative

• zero

• undefined

Answer explanation

Any number multiplied by zero produces zero.

E.g.

$3\cdot0=0$

Tags

CCSS.3.OA.D.9

If p is positive and n is negative,

 $\frac{n}{p}$  is

• positive

• negative

• zero

• undefined

Answer explanation

The quotient of any two numbers with different signs is negative.

E.g.  $\frac{3}{\left(-2\right)}=-\frac{3}{2}$  

Tags

CCSS.7.NS.A.2B

If p is positive and z is zero, -pz is

• positive

• negative

• zero

• undefined

Answer explanation

Any number multiplied by zero produces zero.
E.g. $\left(-3\right)\cdot0=0$

Tags

CCSS.6.NS.C.7C

If p is positive and n is negative,

 $-\frac{p}{n}$  is

• positive

• negative

• zero

• undefined

Answer explanation

There are two negative signs in this expression, therefore the result is positive.

E.g.  $-\frac{\left(-3\right)}{2}=\frac{3}{2}$  

Tags

CCSS.7.NS.A.2B

CCSS.7.NS.A.2A

If p is positive and n is negative, -(pn) is

• positive

• negative

• zero

• undefined

Answer explanation

There are two negative signs in this expression, therefore the result is positive.
E.g. $-\left(3\cdot\left(-2\right)\right)=6$

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B