Step: 1

Represent 6 pounds on number line as shown below.

Step: 2

So, the integer that represents the weight of Joe's pet dog is + 6.

Correct Answer is : + 6 pounds

Step: 1

The height of the hot air-balloon after descending = its height before descending - the height by which it descended.

Step: 2

= 24000 - 600

[Original expression.]

Step: 3

= 23,400 ft

[Subtract.]

Correct Answer is : 23,400 ft

Step: 1

To find increase in temperature, subtract the morning temperature from the evening temperature.

Step: 2

98.5°F - 53°F = 45.5°

Step: 3

So, the temperature increased by 45.5°.

Correct Answer is : 45.5°

Step: 1

Temperature of the juice in the refrigerator = - 9°C

Step: 2

Rise in temperature of the juice = + 6°C

Step: 3

New temperature of the juice = (- 9°C) + (6°C) = - 9°C + 6°C

[For any positive integer x and y , - x + (+ y ) = - x + y .]

Step: 4

= - 3°C

[Subtract and put the sign of the larger number.]

Step: 5

So, the new temperature of the juice is - 3°C.

Correct Answer is : - 3°C

Step: 1

Jessica takes 16 seconds, but the time to qualify is 11 seconds.

Step: 2

So, the time to be saved = 16 - 11

Step: 3

= 16 + (- 11)

[To subtract a positive integer, add its negative integer.]

Step: 4

= 5

Step: 5

Jessica should save 5 seconds in order to qualify for the Olympic games.

Correct Answer is : 5 seconds

Step: 1

Morning temperature of the city = - 4°C

Step: 2

Rise in the temperature = + 15°C

Step: 3

Noon temperature of the city = (- 4°C) + (+ 15°C) = - 4°C + 15°C

[For any positive integer x and y , - x + (+ y ) = - x + y .]

Step: 4

= + 11°C

Step: 5

So, the noon temperature of the city would be + 11°C.

Correct Answer is : + 11°C

Step: 1

Scores of James are 3, - 6 and - 3.

Step: 2

James′s total score = 3 + (- 6) + (- 3)

Step: 3

= 3 - 9

Step: 4

= - 6

Step: 5

So, James′s total score is - 6.

Correct Answer is : - 6

Step: 1

Temperature of Campbell′s bedroom = 33°C

Step: 2

Temperature of Campbell′s kitchen = 35°C

Step: 3

Temperature of Campbell′s refrigerator = - 13°C

Step: 4

Sum of the temperatures = 33°C + 35°C + (- 13°C)

Step: 5

= 33°C + 35°C - 13°C

[For any positive integer x and y , x + (- y ) = x - y ]

Step: 6

= 68°C - 13°C

Step: 7

= 55°C

Step: 8

So, the sum of the temperatures is 55°C.

Correct Answer is : 55°C

Step: 1

Points gained by John in the first two rounds are 6 and 8.

Step: 2

Points lost by John in the third round is 8 which can be represented as - 8.

Step: 3

John′s final score = (+ 6) + (+ 8) + (- 8)

Step: 4

= 6 + 8 + (- 8)

Step: 5

= 14 - 8

[For any positive integer x and y , x + (- y ) = x - y ]

Step: 6

= 6

Step: 7

So, John′s total score is 6.

Correct Answer is : 6

Step: 1

Points in the third round = - 46

Step: 2

Points gained in the fourth round = + 18

Step: 3

Points of the team after fourth round = - 46 + 18 = - 28

[Subtract and put the sign of the larger number.]

Step: 4

So, the team's points after the fourth round is - 28.

Correct Answer is : - 28

Step: 1

Initial position of the submarine = - 270 m

Step: 2

Submarine ascends = + 75 m

Step: 3

New position of the submarine = (- 270 m) + (+ 75 m) = - 270 m + 75 m

[For any positive integer x and y , - x + (+ y ) = - x + y .]

Step: 4

= - 195 m

[Subtract and put the sign of the larger number.]

Step: 5

Therefore, the submarine′s new position is - 195 m.

Correct Answer is : - 195 m

Step: 1

Distance moved forward from the point A by the toy = 6 m

Step: 2

Distance moved backward by the toy = - 3 m

Step: 3

Total distance of the toy from the point A = 6 m + (- 3 m) = 6 m - 3 m

[For any positive integer x and y , x + (- y ) = x - y .]

Step: 4

= 3 m

[Subtract.]

Step: 5

So, the distance of the toy from the point A is 3 m.

Correct Answer is : 3 m

- Locating Integers on a Number Line-Gr 6-Solved Examples
- Application of Division of Whole Numbers-Gr 6-Solved Examples
- Dividing Fractions with/without Models-Gr 6-Solved Examples
- Operations on Decimals-Gr 6-Solved Examples
- Greatest Common Factors of Whole Numbers-Gr 6-Solved Examples
- Least Common Multiples of Whole Numbers-Gr 6-Solved Examples
- Finding Absolutes Value of Rational Numbers-Gr 6-Solved Examples
- Identifying or Locating Ordered Pairs on a Coordinate Plane-Gr 6-Solved Examples
- Counting Distance on a Horizontal or Vertical Line-Gr 6-Solved Examples

- Integer