Math Integer Review

Emily is a diver. Today she descended to a depth of 40 feet below sea level. Then she swam up 10 feet and descended another 4 feet. How far below sea level is Emily now?

• -34 feet

• -54 feet

• 54 feet

• -26 feet

Which question is the SAME as
24 + (-6)             ?

• 24 - 6

• 24 + 6

• -24 - 6

• -24 + 6

Which question is the SAME as
-4 - (-2)       ?

• -4 + 2

• -4 - 2

• 4 + 2

• 4 - 2

What can be added to -4 to get a sum of 0?

• -4

• - 1/4

• 1/4 

• 4

When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...

• Positive

• Negative

• Depends on which is bigger.

Remember using the counters?
Which problem could this picture represent?

• -3 + (-1)

• -3 + 1

• 3 + (-1)

• 3 + 1

What problem do the counters represent in this picture? What would the answer be?

• -4 + (-3) = -7

• -4 + 3 = -1

• 6 + 1 = 7

• 4 + (-3) = 1

Now when adding numbers with opposite signs, subtract the numbers' absolute value then choose the correct sign.
So, -7 + 3 = -4 since 7 - 3 = 4 and there was initially more negative than positive.
Knowing this, which is true?

• 5 + 2 = 3

• 5 + (-2) = 3

• 5 + (-2) = -3

• 5 + 2 = -3

Knowing these things, find
-5 + 7

• 12

• -2

• 2

• -12

What about 15 + (-10)

• 5

• -5

• 25

• -25