NS 3.2*2$
Demonstrate
an understanding of, and ability to use, standard
&&66
)OXHQWO\PXOWLSO\DQGGLYLGHZLWKLQXVLQJVWUDWHJLHVVXFKDVWKH
UHODWLRQVKLSEHWZHHQPXOWLSOLFDWLRQDQGGLYLVLRQHJNQRZLQJWKDW[
algorithms for multiplying a multi-digit number by a RQHNQRZV
two-digit
· RUSURSHUWLHVRIRSHUDWLRQV%\WKHHQGRI*UDGHNQRZIURPPHPRU\DOO
number and for dividing a multi-digit number by a one-digit
SURGXFWVRIWZRRQHGLJLWQXPEHUV
number; use relationships between them to simplify
UNDERLYING SKILLS AND CONCEPTS:
addition basic facts
meaning of multiplication
computations and to check results.
Use the Properties of Multiplication
The Multiplication Property of 0
The product of any number
and 0, is 0.
0
5!0"0
=
The Multiplication Property of 1
=
Mr. Times Zero
The product of any number and 1
is that number.
8!1"8
?!1
1!?
The Commutative Property of Multiplication
Changing the order of factors
does not change the product.
3 ! 5 " 15 and 5 ! 3 " 15, so
3!5"5!3
The Associative Property of Multiplication
Changing the grouping of
factors does not change the product.
?
=
=
Mrs. Times One
(2 ! 3) ! 4
2 ! (3 ! 4)
2 ! (3 ! 4)" and (2 ! 3) ! 4 "
2 ! 12 " 24
6
! 4 " 24
So, 2 ! (3 ! 4)" (2 ! 3) ! 4
24
=
H
theey! I
pa can
re
nth mov
es e
es
.
=
Ms. Associative
E x am p l E s
Find the missing
number.
Find the missing
number.
■1
9,789,185 !
7!
"7
Hint: Remember
Mrs. Times One.
page 56
■0
Find the missing
number.
"0
Hint: Remember
Mr. Times Zero.
■
(4 ! 2) ! 3 " 4 ! (2 ! 3)
Hint: Remember
Ms. Associative.
Chapter 5 – Lesson 4
D – © CSL Associates, Inc. All rights reserved.
a
K
ey Ide
?!0
0!?
Name
P RAC T I C E
Circle the property that is shown.
1. 9,032 65 65 9,032
zero property
one property
commutative
2. 211,893,001 0 0
zero property
one property
distributive
3. 8,764 1 8,764
zero property
one property
distributive
4. (77 6) 5 77 (6 5) zero property
one property
associative
5. 10 1,000 1,000 10
one property
commutative
zero property
Find each missing number.
■
0
■
97
■
7. 7 ( 9 15) (7 9) 15
8. 18 0 9. 89 10. 14 D – © CSL Associates, Inc. All rights reserved.
■
■0
■1
25
■
6
■
1
■
18
■
6. 1 36 36
12. 10 14
11. 1,025 25 10
13. (2 55) 91 2 (55 91)
14. (6 5) 9 16. 22 18. 12 0
(5 9)
■
15. 1 1
97 1,025
■
1
■
22
17. 507,922 17 17 507,922
18 12
19. 21 ( 9 95) (21 9) 95
Math
Reasoning
■
True or False?
MR 1.1
True or false? Explain.
20. 22 0 22
false
21. 76.832 0 0
true
22. 17 1 17
false
23. 17,894 0 0
false
24. 72 1 72
true
25. 0 1 1
false
Chapter 5 – Lesson 4
page 57
MCX94.HW.CL.G4.FM&Lesson.v211
8/2/04
19:16
Page 40
Name
…at home!
P RAC T I C E
Circle the property that is shown.
1. 8,106 28 28 8,106
zero property
one property
commutative
2. 683,907,010 0 0
zero property
one property
distributive
3. 5,318 1 5,318
zero property
one property
distributive
4. (88 5) 4 88 (5 4) zero property
one property
associative
5. 100 1,000 1,000 100 zero property
one property
commutative
■
■0
■1
36
■
4
■
1
■
17
■
■
0
■
56
■
6. 1 47 47
7. 6 ( 5
19) (6 5) 19
8. 23 0 9. 65 0
10. 15 12. 10 15
11. 2,134 36 10
13. (3 44) 82 3
14. (4 3) 8 16. 33 18. 12 (3 8)
■
15. 10 1
56 2,134
■
(44 82)
10
■
33
17. 590,643 12 12 590,643
17 12
19. 25 ( 8
Math
Reasoning
■
96) (25 8) 96
True or False?
MR 1.1
20. 11 0 11 false; 11 0 0
61,352 0 61,352
21. 61,352 0 0
false
22. 14 1 14 false; 14 1 15
23. 51,489 0 0
24. 63 1 63
25. 0 10 10
True or false? Explain.
page 40
true
Home Resource and Homework
true
false 0 10 0
Chapter 5 Lesson 4
D – © CSL Associates, Inc. All rights reserved.
Find each missing number.
MCX94TEG4Ch01_32.v8.5.2 2/26/01 18:59 Page 107
Name
P RAC T I C E
Circle the property that is shown.
1. 9,032 65 65 9,032
zero property
one property
commutative
2. 211,893,001 0 0
zero property
one property
distributive
3. 8,764 1 8,764
zero property
one property
distributive
4. (77 6) 5 77 (6 5) zero property
one property
associative
5. 10 1,000 1,000 10
one property
commutative
zero property
Find each missing number.
■
0
■
97
■
7. 7 ( 9 15) (7 9) 15
8. 18 0 9. 89 10. 14 D – © CSL Associates, Inc. All rights reserved.
■
■0
■1
25
■
6
■
1
■
18
■
6. 1 36 36
12. 10 14
11. 1,025 25 10
13. (2 55) 91 2 (55 91)
14. (6 5) 9 16. 22 18. 12 0
(5 9)
■
97 1,025
■
15. 1 1 1
■
22
17. 507,922 17 17 507,922
18 12
19. 21 ( 9 95) (21 9) 95
Math
Reasoning
■
True or False?
MR 1.1
True or false? Explain.
20. 22 0 22
false
21. 76.832 0 0
true
22. 17 1 17
false
23. 17,894 0 0
false
24. 72 1 72
true
25. 0 1 1
false
Chapter 5 – Lesson 4
Student Book Page
page 57
Name
…at home!
P RAC T I C E
Circle the property that is shown.
1. 8,106 28 28 8,106
zero property
one property
commutative
2. 683,907,010 0 0
zero property
one property
distributive
3. 5,318 1 5,318
zero property
one property
distributive
4. (88 5) 4 88 (5 4) zero property
one property
associative
5. 100 1,000 1,000 100 zero property
one property
commutative
■
■0
■1
36
■
4
■
1
■
17
■
■
0
■
56
■
6. 1 47 47
7. 6 ( 5
19) (6 5) 19
8. 23 0 9. 65 0
10. 15 12. 10 15
11. 2,134 36 10
13. (3 44) 82 3
14. (4 3) 8 16. 33 18. 12 (3 8)
■
15. 10 1
56 2,134
■
(44 82)
10
■
33
17. 590,643 12 12 590,643
17 12
19. 25 ( 8
Math
Reasoning
■
96) (25 8) 96
True or False?
MR 1.1
20. 11 0 11 false; 11 0 0
61,352 0 61,352
21. 61,352 0 0
false
22. 14 1 14 false; 14 1 15
23. 51,489 0 0
24. 63 1 63
25. 0 10 10
True or false? Explain.
page 40
true
Home Resource and Homework
true
false 0 10 0
Chapter 5 Lesson 4
D – © CSL Associates, Inc. All rights reserved.
Find each missing number.