Operations with Mixed Numbers and Integers

Mr. Wooley combines lessons eight and nine to teach students about applying properties of operations to add and subtract rational numbers. The video covers rewriting mixed numbers as sums of signed numbers, solving problems involving weight change, and handling negative signs outside parentheses. It includes various example problems to reinforce the concepts and transitions to lesson nine with additional practice.

What is the result of rewriting the mixed number -9 5/8 as a sum of signed numbers?

• 9 + (-5/8)

• -9 + (-5/8)

• -9 + 5/8

• 9 + 5/8

If Mr. Mitchell lost 10 pounds and then gained 5 1/8 pounds, what is the overall change in his weight?

• 5 1/8 pounds

• -5 1/8 pounds

• 4 7/8 pounds

• -4 7/8 pounds

How does a negative sign outside parentheses affect the expression inside?

• It doubles the value inside.

• It makes the expression inside positive.

• It changes the expression inside to its opposite.

• It has no effect.

What is the result of 1/4 + 6 when a negative sign is outside the parentheses?

• -7 1/4

• 7 1/4

• -6 1/4

• 6 1/4

Jolene lost $10 and received $5.75 from her brother. What is her net change in money?

• -$5.75

• $5.75

• $4.25

• -$4.25

What is the result of 25 minus 20 1/5?

• -4 4/5

• -3 1/5

• 4 4/5

• 3 1/5

What is the sum of 3 + 4 + (-3) + (-4)?

• 0

• -7

• 7

• 14

What is the result of 4 4/7 minus (4 4/7 - 10)?

• -10

• 10

• 0

• 4 4/7

What is the result of 5 - 5.2 + 3.1 + 5.2?

• 8.3

• 5.1

• 0

• 3.1

What is the simplified result of 16/20 - (-1.8) - 4/5?

• 1.8

• -1.8

• 0

• 2.6