Integers

​Integers

​UNIT 3.

​Integers

​Positive and negative numbers

Integers are made up of a sign and a numerical part.

The sign ​+ or - shows if the number is positive or negative.

Example:

+ 2

- 5​

UNIT 3.

"Show each of these situations using an integer."

Multiple Choice

A plane flies at an altitude os 15 000 metres.

• + 15 000

• - 15 000

Multiple Choice

Temperature increase of 22 degrees.

• + 22

• - 22

Multiple Choice

A submarine is operating at a depth of 60 metres.

• + 60

• - 60

Multiple Choice

Diving 12 feet under water.

• + 12

• - 12

Multiple Choice

Lose 7 points on an exam.

• + 7

• - 7

Multiple Choice

9 degrees above zero.

• + 9

• - 9

Multiple Choice

Receive 15 dollars.

• + 15

• - 15

​Integers

​Ordering integers

1. If both integers are positive, the one further from 0 is larger.

2. If one is positive and the other is negative, the positive number is larger.

3. If both are negative, the one closer to 0 is larger​.

   ​

​Integers

​Ordering integers: Examples

​

4 < 5 Four is less than five.

3 > -2 Three is greater than minus two.

-3 < -1​ Minus three is less than minus one.

" Use the correct simbol " 

<

or

>​

Multiple Choice

4 ........ 5

• <

• >

Multiple Choice

- 4 ........ - 5

• <

• >

Multiple Choice

- 4 ........ 5

• <

• >

Multiple Choice

4 ........ - 5

• <

• >

Multiple Choice

152 ........ - 853

• <

• >

Multiple Choice

42 ........ 87

• <

• >

Multiple Choice

-74 ........ - 87

• <

• >

It is equal to the same number with opposite sign.

​

op (-2) = +2

op (+3) = -3​

​Opposite value

It is equal to the same number without sign or with a positive sign.

​

​| -2 | = 2 = +2

| +3 | = 3​ = +3

​Absolute value

​Integers

UNIT 3

" Calculate: " 

Multiple Choice

| - 4 | = ...

• + 4

• - 4

Multiple Choice

| + 4 | = ...

• + 4

• - 4

Multiple Choice

op( - 4 ) = ...

• + 4

• - 4

Multiple Choice

op( + 4 ) = ...

• + 4

• - 4

" Order the following numbers. " 

Multiple Choice

op ( - 5) ...... 3

• op (- 5) < 3

• op (- 5) > 3

Multiple Choice

op ( +2) ...... -4

• op ( +2) > -4

• op ( +2) < -4

Multiple Choice

| + 3 | ...... - 4

• | + 3 | < - 4

• | + 3 | > - 4

Multiple Choice

| -5 | ...... +7

• | -5 | < +7

• | -5 | > +7

If two integers have the opposite sign, subtract the numerical parts. The result will have the sign of the number with the larger numerical part.

+ 4 - 6 = - 2

- 4 + 6 = + 2​

I​f two integers have the same sign, add the numerical parts. The result will have the same sign as the numbers.

+ 4 + 6 = + 10

- 4 - 6 = - 10​

​

​

​Addition and substraction.

​Integers

UNIT 3

​+ plus

- minus​

" Calculate: " 

Multiple Choice

+ 3 + 5 = ...

• + 8

• - 8

• + 2

• - 2

Multiple Choice

+ 3 - 5 = ...

• + 8

• - 8

• + 2

• - 2

Multiple Choice

- 3 - 5 = ...

• + 8

• - 8

• + 2

• - 2

Multiple Choice

- 3 + 5 = ...

• + 8

• - 8

• + 2

• - 2

Multiple Choice

- 10 + 4 = ...

• + 14

• - 14

• + 6

• - 6

Multiple Choice

- 10 - 4 = ...

• + 14

• - 14

• + 6

• - 6

Multiple Choice

+ 10 + 4 = ...

• + 14

• - 14

• + 6

• - 6

Multiple Choice

+ 10 - 4 = ...

• + 14

• - 14

• + 6

• - 6

Multiple Choice

+ 3 - 4 = ...

• + 7

• - 7

• + 1

• - 1

Multiple Choice

- 3 + 4 = ...

• + 7

• - 7

• + 1

• - 1

Multiple Choice

- 3 - 4 = ...

• + 7

• - 7

• + 1

• - 1

Multiple Choice

+ 3 + 4 = ...

• + 7

• - 7

• + 1

• - 1