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Multiplication: Shortcuts for 9, 99 and 999

In this worksheet, students develop their mental arithmetic skills by using shortcuts to help them multiply quickly and accurately.

'Multiplication: Shortcuts for 9, 99 and 999' worksheet

Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  Mixed Problems

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Checking your results by doing an equivalent operation is a valuable skill to learn.

Look carefully at the following to understand the method used when multiplying by numbers such as 9, 99 or 999.

 11 × 9 = 11 × (10 - 1) = 110 - 11 = 99

521 × 9 = 521 × (10 - 1) = 5210 - 521 = 4689

19 × 99 = 19 × (100 - 1) = 1900 - 19 = 1881

17 × 999 = 17 × (1000 - 1) = 17000 - 17 = 16983

For the following calculation, work out the values of A, B and C.

 

91 × 9 = 91 × (10 - 1) =
 A
-
B
=
 C

 ABC
910
91
819

For the following calculation, work out the values of A, B and C.

 

47 × 9 = 47 × (10 - 1) =
 A
-
B
=
 C

 ABC
47
423
470

For the following calculation, work out the values of A, B and C.

 

73 × 999 = 73 × (1000 - 1) =
 A
-
B
=
 C

 ABC
72927
73000
73

For the following calculation, work out the values of A, B and C.

 

20 × 999 = 20 × (1000 - 1) =
 A
-
B
=
 C

 ABC
20
20000
19980

For the following calculation, work out the values of A, B and C.

 

21 × 99 = 21 × (100 - 1) =
 A
-
B
=
 C

 ABC
21
2079
2100

For the following calculation, work out the values of A, B and C.

 

70 × 9 = 70 × (10 - 1) =
 A
-
B
=
 C

 ABC
70
630
700

For the following calculation, work out the values of A, B and C.

 

97 × 999 = 97 × (1000 - 1) =
 A
-
B
=
 C

 ABC
97
97000
96903

For the following calculation, work out the values of A, B and C.

 

60 × 9 = 60 × (10 - 1) =
 A
-
B
=
 C

 ABC
600
60
540

For the following calculation, work out the values of A, B and C.

 

14 × 999 = 14 × (1000 - 1) =
 A
-
B
=
 C

 ABC
14
14000
13986

For the following calculation, work out the values of A, B and C.

 

213 × 99 = 213 × (100 - 1) =
 A
-
B
=
 C

 

 ABC
21300
21087
21
213
  • Question 1

For the following calculation, work out the values of A, B and C.

 

91 × 9 = 91 × (10 - 1) =
 A
-
B
=
 C

CORRECT ANSWER
 ABC
910
91
819
  • Question 2

For the following calculation, work out the values of A, B and C.

 

47 × 9 = 47 × (10 - 1) =
 A
-
B
=
 C

CORRECT ANSWER
 ABC
47
423
470
  • Question 3

For the following calculation, work out the values of A, B and C.

 

73 × 999 = 73 × (1000 - 1) =
 A
-
B
=
 C

CORRECT ANSWER
 ABC
72927
73000
73
  • Question 4

For the following calculation, work out the values of A, B and C.

 

20 × 999 = 20 × (1000 - 1) =
 A
-
B
=
 C

CORRECT ANSWER
 ABC
20
20000
19980
  • Question 5

For the following calculation, work out the values of A, B and C.

 

21 × 99 = 21 × (100 - 1) =
 A
-
B
=
 C

CORRECT ANSWER
 ABC
21
2079
2100
  • Question 6

For the following calculation, work out the values of A, B and C.

 

70 × 9 = 70 × (10 - 1) =
 A
-
B
=
 C

CORRECT ANSWER
 ABC
70
630
700
  • Question 7

For the following calculation, work out the values of A, B and C.

 

97 × 999 = 97 × (1000 - 1) =
 A
-
B
=
 C

CORRECT ANSWER
 ABC
97
97000
96903
  • Question 8

For the following calculation, work out the values of A, B and C.

 

60 × 9 = 60 × (10 - 1) =
 A
-
B
=
 C

CORRECT ANSWER
 ABC
600
60
540
  • Question 9

For the following calculation, work out the values of A, B and C.

 

14 × 999 = 14 × (1000 - 1) =
 A
-
B
=
 C

CORRECT ANSWER
 ABC
14
14000
13986
  • Question 10

For the following calculation, work out the values of A, B and C.

 

213 × 99 = 213 × (100 - 1) =
 A
-
B
=
 C

 

CORRECT ANSWER
 ABC
21300
21087
21
213
---- OR ----

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