Integers & Opposites
What is the opposite of 5?
-5
Are the following numbers terminating or repeating?
(a) 3.232323...
(b) 1.789
(c) 0.9999...
(a) repeating
(b) terminating
(c) repeating
Is the sum positive or negative and what is the sum?
-3 + 4
Positive; 1
What is -4-9?
-13
Simplify the expression 20.25 - 9 and 1/2 + 11. (No calculator)
21.75
Kristen goes on a cave tour with her family. They climb down to 8 meters below ground level. Then they climb the opposite of -8 meters to return to ground level. What is total number of meters they climbed (in either direction)?
16
What is the difference between a repeating decimal and a terminating decimal?
Repeating decimal - has a repeating number that is not zero
Terminating decimal - has zero as a repeating number
Draw a number line to represent 3 + (-4) and find the correct answer.
Show number line to teacher; -1
Suppose y is a positive integer. If x - (-y) = z, will z be greater than or less than x? Explain
Subtracting−y is the same as adding its additive inverse, y
What is the answer in decimal and fraction form?
-4 and 1/2 + 3 and 1/4
-1 and 1/4
Give an example that can be represented by the opposite of -25.
Show teacher
he directions on a seed packet say to plant the seeds 1 and 7/8 inches apart. What is the decimal equivalent of this mixed number? (no calculator)
1.875
Sandra plays a matching game. In order to advance to the next level,she must score at least 10 points. She scores 18 points for correct matches and -6 points for incorrect matches. Did Sandra make it to the next level? Explain.
18 + (-6) = 12; yes
The temperature in Anchorage, Alaska, was -3°C in the afternoon.After the sun went down, the temperature dropped 6 degrees.Write an equation to represent the situation. What was the temperature after the sun went down?
-3 - 6 = -9
Antony borrows $6.50 from a friend to pay for a sandwich and drink at lunch.Then he borrows $3.75 from his sister to pay a library fine. Write an expression to express his total debt that day.
-6.50 - 3.75 = -10.25
Allie scores 4 points in the first round of a card game. In the next round, she loses 6 points. Then she scores 4 more points. How many points does Allie have after 3 rounds?
2
Nine friends vote on their favorite fruit. Only one person in the group votes for kiwi. Write the fraction as an equivalent decimal.Is the decimal a rational number?
0.1111111... Yes because the digits repeat
How can you tell when you are adding, whether your sum (final answer) is positive or negative?
The sum will have the sign of the addend with the greater absolute value.
Rob borrows $15.00 from his father, and then he borrows $3.00 more. Write an equation using negative integers to represent Rob’s debt. How much money does Rob owe his father?
-15 + -3 = -18
Hannah says that 2.11 is a rational number. Gus says that 2.11 is are peating decimal. Who is correct and why?
Hannah because 2.11 can be written as a fraction and rational number can be written as a fraction
On Friday, the temperature was 82°F. The temperature changed by -2°F on Saturday, and then it changed by 5°F on Sunday. Write an expression describing the situation and the final temperature on Sunday.
85
Rochelle needs to pack a picture frame that measures 7 and 6/11 inches on each side. Will it fit into a box that measures 7.5 inches on each side? Explain
No because 7 and 6/11 is equal to 7.5454... which is bigger than 7.5
Ashley’s math average decreased 12 points to 78. Then she completed an extra credit assignment and raised her final average by 5 points.Write an equation to show how Ashley’s average changed. What was her starting average? What was her final average? Explain
Starting average: 90
Final average: 83
78 + 5 = 83
Adrienne and Suki simplified the expression -8 - (-6). Whose answer is correct? Explain where the error was made.
Adrienne’s Work -8 - (-6) = -14
Suki’s Work -8 - (-6) = -2
Suki's and show explanation
Juan is walking up a hill at 130 and 3/4 feet above sea level when he kicks a pebble. If the pebble falls to the base of the hill, which is 18.5 feet below sea level, what is the vertical distance that the pebble fell?
130.75 - (-18.5) = 149.25