6th Grade Math Textbook, Fundamentals

Add or subtract. Express each answer in simplest form.

1. 1 () 2. 2 ( (^3) ) 3. 1 ( (^6) ) 4. 3 ( (^1) )
   5.ab, when a3 and b 5 6.abcwhen a 7, b4 , and c 3
   7.Discuss and Write Is renaming the integer necessary to solve  7 3? Explain. 105
   3
   10
   2
   5
   3
   10
   5
   8
   2
   3
   3
   4
   5
   6
   7
   10
   5
   8
   3
   10
   3
   5
   7
   12
    2
   5
   Lesson 5-7 for exercise sets. &KDSWHU 
   3UDFWLFH $FWLYLWLHV
   Subtract: 6 

• Estimate: 6  1  5


• Rename the integer as a mixed number.

6  5  1 6  5  5

• Subtract.

5  5

Check:5 is close to the estimate of 5.

7

7

3

7

3

7

4

7

7

7

7

7

4

(^17) Subtract: 4  2

• Estimate: 4  2  2


• Rename the integer as a mixed number.

4  3  1 4  3  3

• Subtract.

3  2  1

Check: 1 is close to the estimate of 2.

13

13

8

13

8

13

5

13

13

13

13

13

5

(^213)
Subtract: 8 

• Estimate: 8  1  7


• Regroup 8 to subtract.

8  7  1 

 7  

 7  7

• Subtract: 7  7

Check:7 is close to the estimate of 7.

6

5

6

5

1

5

5

5

1

5

1

5

1

5

1

5

2

5

2

5

4

5

6

5

4
3 5 Subtract: 6  4

• Estimate: 6  5  1


• Regroup 6 to subtract.

6  5  1 

 5  

 5 

• Subtract: 5  4  1  1

Check:1 is close to the estimate of 1.

1

2

1

4

1

4

1

2

2

4

3

4

5

4

5

4

1

4

4

4

1

4

3

4

1

(^44)
Rename 1 as.^55
Think
(^15)  (^45)
Rename 1 as.^44
Think
(^14)  (^34)

To compute with two or more mixed numbers, apply the Subtraction

Principle, and use the sign rules that you use in adding integers.

Evaluate ab c d, when a1, b 3, c 1, d3.

1  ( (^3) )( (^1) ) 3 Substitute the known values.
1  ( (^3) ) 1 ( (^3) ) Apply the Subtraction Principle.
(^1 ^1 ) [(^3 ) (^3 )]
2  ( (^6) ) Simplify.
 4124   (^413)
10
12
14
12
Use the Commutative and Associative properties
to group like signs.
3
12
7
12
7
12
7
12
7
12
3
12
7
12
7
12
7
12
3
12
7
12
7
12
7
12
3
12
7
12
7
12