THE DISTRIBUTIVE PROPERTY
OF MULTIPLICATION
ANSWERS
THE DISTRIBUTIVE PROPERTY OF MULTIPLICATION ALLOWS US TO DISTRIBUTE OR GIVE MULTIPLICATION TO ADDITION OR
SUBTRACTION. IT MAKES NUMBERS EASIER TO WORK WITH AND ALLOWS US TO BREAK VARIABLES AND NUMBERS INTO PARTS.
4 x 72
4 x 72 CAN BE CHANGED TO
4 x (70 + 2), BECAUSE 72 = (70 + 2).
4 x 72 = 4 x (70 + 2)
4 x (70 + 2)
4 x (70 + 2)
BY CHANGING THE 72
TO (70 + 2) WE CAN
SOLVE THIS PROBLEM
IN OUR HEAD.
(4 x 70) + (4 x 2)
USING THE DISTRIBUTIVE
PROPERTY WE CAN SEPARATE
THE 70 AND 2 AND MULTIPLY.
(280) + (8) = 288
NOW THE MULTIPLICATION
IS EASIER AND CAN BE
DONE IN OUR HEAD.
280 + 8 = 288, SO 4 x 72 = 288.
SEE HOW WE DISTRIBUTE
THE 4 TO THE 70 AND 2?
Now you turn. Use the Distributive Property to solve the problems below.
7 x 65 = 7 x (60 + 5)
1.
8 x 34 =
2.
x
+
3.
4 x 89
272
= (7 x 60) + (7 x 5)
256
= (420) + (35)
= 455
3 x 57
4.
6 x 46
5.
171
276
11 x 32
7.
9 x 24
6.
216
5 x 73
7.
352
12 x 21
9.
365
252
Fill in the empty boxes, find the answers, and shade.
*
6 x 83
= 6x
*
80 + 3
140
+ 18
= 498
81
47
120
80
3 x 47
= 3 x 40 + 3 x 7
120
=
141
+
MATHCRUSH.COM
30
54
210
= 3 x 40 + 7
=
7
21
20
40
7
266
80
141
472
200
210
400
56
21
72
2
35
50 9 7 20
47
56
5
141
21
= 400
+
72
35
47
11
480
420
80
21 30
= 8 x 50 + 8 x 9
2
9
40
498
472
5
*
472
72
56
= 8 x 50 + 9
420
266
498
= 6 x 80 + 6 x 3
= 480
141 480
400
8 x 59
140
498
*
81
9
40
11
400
50
47
72
120
480
30
= 472
7
x 38
= 7x
30 + 8
= 7 x 30 + 7 x 8
= 210
+
56
= 266
LEVEL 1