Operations with Signed Numbers

Mr. Wooley combines lessons eight and nine to teach students about applying the 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 illustrate these concepts, transitioning into lesson nine with additional examples.

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?

• -4 7/8 pounds

• 4 7/8 pounds

• -5 1/8 pounds

• 5 1/8 pounds

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

• It makes the expression inside positive.

• It doubles the value inside.

• It changes the expression inside to its opposite.

• It has no effect.

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

• -7 1/4

• -6 1/4

• 6 1/4

• 7 1/4

In the expression 32 + (-12 7/8), what is the result?

• 19 1/8

• -19 1/8

• 20 1/8

• -20 1/8

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

• 0

• 7

• -7

• 1

How do you solve 5 - 5.2 + 3.1 + 5.2?

• -3.1

• 0

• 3.1

• 8.1

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

• 1.8

• 0

• 2.6

• -1.8

What is the result of 3 1/3 + 20.3 - (-5 5/6)?

• 29.3

• 28.3

• 30.3

• 27.3

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

• 4 4/7

• 0

• 10

• -10