6 Bears Math - Integers II

1. Put in order from least to greatest: 12, 0, -1, -13, 4

0, -1, -13, 4, 12

12, 4, 0, -1, -13

-1, -13, 0, 4, 12

-13, -1, 0, 4, 12

The given numbers are arranged in ascending order from least to greatest. The smallest number is -13, followed by -1, then 0, then 4, and finally 12.

Explanation

The given numbers are arranged in ascending order from least to greatest. The smallest number is -13, followed by -1, then 0, then 4, and finally 12.

2. Which comparison is NOT true?

-15 > -13

-7 < 6

-23 < 22

8 > -8

Negative numbers are always smaller than positive numbers.

Numbers get smaller as they move further from zero.

Explanation

Negative numbers are always smaller than positive numbers.

Numbers get smaller as they move further from zero.

3. -4 + (-5)

1

-9

-1

9

The given expression is the sum of -4 and -5. When we add two negative numbers, the result will be a negative number. Therefore, the correct answer is -9.

Explanation

The given expression is the sum of -4 and -5. When we add two negative numbers, the result will be a negative number. Therefore, the correct answer is -9.

4. -3 + 7

-10

10

4

-4

The given expression is -3 + 7. When we add -3 and 7, we get 4.

Explanation

The given expression is -3 + 7. When we add -3 and 7, we get 4.

5. -4 + (-7) + (-9)

-18

-20

-12

-6

The given expression is adding three negative numbers together: -4, -7, and -9. When we add these numbers, we get -20 as the result.

Explanation

The given expression is adding three negative numbers together: -4, -7, and -9. When we add these numbers, we get -20 as the result.

6. -112 is ___________________ -115

Greater than

Less than

Equal to

-112 is greater than -115 because in the number line, as we move to the left, the numbers decrease. Since -112 is to the left of -115, it is a smaller number. Therefore, it is greater than -115.

Explanation

-112 is greater than -115 because in the number line, as we move to the left, the numbers decrease. Since -112 is to the left of -115, it is a smaller number. Therefore, it is greater than -115.

7. Listed below are temperatures for four cities. Using this information, determine which statement is true.

Denver: -5 degrees F
Chicago: -12 degrees F
New York City: -8 degrees F
Minneapolis: -15 degrees F

Chicago is colder than Denver, but warmer than New York City.

New York City is colder than Chicago and Minneapolis.

Denver is warmer than New York City and Minneapolis.

Denver is the coldest of the four cities listed.

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Explanation

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8. On the hottest day in Richmond, Virginia, the temperature was 105 degrees F. On the coldest day, the temperature was 117 degrees F lower. What was the coldest temperature in Richmond?

-117 degrees F

-12 degrees F

12 degrees F

117 degrees F

105-117
105 + -117 LEAVE CHANGE CHANGE
Different signs - subtract the numbers and keep the sign of the one you have more of.

117-105 = 12
You had more negative to begin with, so your answer is -12.

Explanation

105-117
105 + -117 LEAVE CHANGE CHANGE
Different signs - subtract the numbers and keep the sign of the one you have more of.

117-105 = 12
You had more negative to begin with, so your answer is -12.

9. Evaluate h + 3 for... h = -4

-7

7

-1

1

To evaluate h + 3 for h = -4, we substitute -4 in place of h. So, -4 + 3 equals -1. Therefore, the correct answer is -1.

Explanation

To evaluate h + 3 for h = -4, we substitute -4 in place of h. So, -4 + 3 equals -1. Therefore, the correct answer is -1.

10. The entrance to a mine is 1,890 feet above sea level. The bottom of a mine is 3,642 feet below the entrance. What is the elevation at the bottom of the mine?

1,752 feet above sea level

5,532 feet above sea level

1,752 feet below sea level

5,532 feet below sea level

The elevation at the bottom of the mine is 1,752 feet below sea level because the entrance to the mine is 1,890 feet above sea level and the bottom of the mine is 3,642 feet below the entrance. By subtracting the depth below the entrance from the entrance's elevation, we can determine the elevation at the bottom of the mine.

Explanation

The elevation at the bottom of the mine is 1,752 feet below sea level because the entrance to the mine is 1,890 feet above sea level and the bottom of the mine is 3,642 feet below the entrance. By subtracting the depth below the entrance from the entrance's elevation, we can determine the elevation at the bottom of the mine.

11. Bryan swam to a depth of 29 feet below sea level while diving. He descended another 31 feet. He then rose up 16 feet. Which process could be used to find Bryan's current depth?

Start with -29, subtract 31, then add 16

Start with 29, subtract 31, then add 16

Start with -29, add 31, then subtract 16

Start with 29, add 31, then add 16

You start with -29 because below sea level is represented as a negative. To descend means to go down, so you would then subtract 31. If Bryan rose up, he went higher, so you would add 16.

Explanation

You start with -29 because below sea level is represented as a negative. To descend means to go down, so you would then subtract 31. If Bryan rose up, he went higher, so you would add 16.