Integer Review including Order of Operations Grade 8

-8+(-2)

• -6

• -10

• 10

• 6

Answer explanation

To find the sum of -8 and -2, we add the numbers together: -8 + (-2) = -10. Therefore, the correct answer is -10.

-5-(-7)

• -12

• 12

• 2

• -2

Answer explanation

To solve -5-(-7), we need to remember that subtracting a negative number is the same as adding the positive version of that number. Therefore, -5-(-7) becomes -5+7, which equals 2.

Which of the following expressions has the greatest value?

• -7+(-3)

• 11-(-5)

• -9+5

• 12-6

Answer explanation

The expression 11-(-5) has the greatest value as subtracting a negative number is equivalent to adding the positive value, resulting in 16.

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

Answer explanation

Emily started at 40 feet below sea level, then went up 10 feet and down 4 feet, resulting in a total of -34 feet below sea level.

On Friday, Elsa made withdrawals of $50, $60, and $17 from her savings account. On Monday she made a deposit of $135. How much money is now in Elsa's savings account?

• $262

• $8

• -$8

• -$262

Answer explanation

To find the total amount in Elsa's savings account, we add the deposits and subtract the withdrawals. $135 - $50 - $60 - $17 = $8. Therefore, Elsa has $8 in her savings account.

The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?

• 3 degrees

• 12 degrees

• 11 degrees

• 10 degrees

Answer explanation

The correct answer is 11 degrees because the difference between the high temperature (4 degrees) and the low temperature (-7 degrees) is 11 degrees.

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

• -4 + 2

• -4 - 2

• 4 + 2

• 4 - 2

Answer explanation

The question -4 - (-2) is the same as -4 + 2 because subtracting a negative number is equivalent to adding its positive counterpart.

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

• 24 - 6

• 24 + 6

• -24 - 6

• -24 + 6

Answer explanation

The question is asking for the same value as 24 + (-6), which is equivalent to 24 - 6. Therefore, the correct choice is 24 - 6.

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

• Positive

• Negative

• Depends on which is bigger.

Answer explanation

When multiplying or dividing a NEGATIVE and POSITIVE number, the result will be Negative. This is because a negative number multiplied or divided by a positive number always results in a negative value.

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

• POSITIVE

• NEGATIVE

• DEPENDS ON WHICH NUMBER IS LARGER.

Answer explanation

When multiplying or dividing two negative numbers, the result will always be positive. This is a rule in mathematics known as the 'rule of signs'.