The temperature at 12 noon at a certain place was 18° above zero. If it decreases at the rate of 3° per hour at what time it would be 12° below zero?

(a)

12 mid night

(b)

12 noon

(c)

10 am

(d)

10 pm

Identify the problem with negative numbers as its answer:

(a)

-9 + (-5) + 6

(b)

8 + (-12) - 6

(c)

-4 + 2 + 10

(d)

10 + 9 (-4) + 8

(-10) + ( +7)=____

(a)

+3

(b)

-3

(c)

-17

(d)

+17

(-100) - 0 + 100 = _____

(a)

200

(b)

0

(c)

100

(d)

-200

Which of the following expressions is equal to –30.

(a)

–20 – (–5 x 2)

(b)

(6 x 10) – (6 x 5)

(c)

(2 x 5) + (4 x 5)

(d)

(–6) x (+5)

_____\(\times \) (-9) = -45

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5

____\(\times \) 75 = 0

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0

 (−40) ÷____ = 40

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-1

(-5) + ____ = -100

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-95

(-52) + (-52) = ____

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-104

(-100) x 0 x 20 = 0

(a) True

(b) False

8 x (−4) = 32

(a) True

(b) False

(−30) ÷ (−6) = −6

(a) True

(b) False

(−64) ÷ (-64) is 0

(a) True

(b) False

The sum of a positive integer and a negative integer is always a positive integer.

(a) True

(b) False

For any two integers 72 and 108, 72 +108 is an also an integer

(1)

Additive identity

For any three integers 68, 25 and 99
68 x( 25 + 99) = ( 68 x 25 ) + ( 68 x 9)

(2)

Commutative property under multiplication.

0 + (−138) = (−138) = (−138)+0

(3)

Multiplicative identity

For any two integers (−5) and 10
(−5) x 10 = 10 x (−5)

(4)

Distributive property of multiplication over addition

1 x (-1098) = (–1098) = (–1098) x 1

(5)

Closed under addition