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Math Gr 8 Ch 4: Solving Problems

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32 Questions

What is the effect of adding a positive integer to another integer?

It increases the value

What is the result of adding an integer and its additive inverse?

Zero

Which property of integer operations states that the order of integers does not change the result?

Commutative Property of Addition

What is the effect of subtracting a positive integer from another integer?

It decreases the value

What is the symbol used to indicate that one integer is greater than another?

>

What is the term for an equation where all the numbers are known?

Closed number sentence

What is the effect of adding an integer to its additive inverse?

It does not change the value

What is the term for determining the difference in height between a mountain and the surrounding ocean?

Difference in Height

When subtracting a negative integer, what occurs to the value?

It increases the value.

What is the purpose of the commutative and associative properties of integer operations?

To allow for the addition and subtraction of integers in any order.

What is the result of adding an integer to its negative counterpart?

Zero.

In a problem involving a temperature rise, what operation would be used to find the final temperature?

Addition.

What is the purpose of using the symbol >?

To indicate that one integer is greater than another.

What type of sentence is an equation where some numbers are not known initially?

Open number sentence.

In a problem involving a diver's depth, what operation would be used to find the new depth?

Subtraction, if the diver moves towards the surface.

What is the purpose of using additive inverses in integer operations?

To facilitate the addition and subtraction of integers.

If a = 5 and b = -3, what is the result of a + b?

a + b = 2

What is the result of subtracting 4 from -3?

-7

If a = 2 and b = 5, what is the result of (a + b) + (-2)?

5

What is the result of adding -2 to its additive inverse?

0

If a = -3 and b = 2, what is the result of a + (b + (-3))?

-4

What is the result of subtracting -2 from 5?

7

If a = 4 and b = -2, what is the result of a + (-b)?

6

What is the result of adding 3 to its additive inverse?

0

Which of the following is a correct application of the commutative property of addition?

2 + 3 = 3 + 2

What is the result of subtracting an additive inverse from an integer?

It increases the value by twice the original amount.

Which of the following is an example of a closed number sentence?

4 + 2 = 6

What is the relationship between the temperatures -5°C and 3°C?

-5°C is less than 3°C.

What is the result of adding 2 and -3, and then adding 4 to the result?

5

A diver is at a depth of -20 meters and descends a further 5 meters. What is the new depth?

-25 meters

What is the difference between the heights of a mountain that is 2000 meters above sea level and the surrounding ocean that is -500 meters?

2500 meters

If the minimum temperature is 5°C and it rises by 3°C, what is the maximum temperature?

8°C

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