Make your own free website on Tripod.com

Arithmetic Notes

[Last Updated 4 February 2010]


Addition of Single-Digit Numbers
Mixed Numbers


Addition of Single-Digit Numbers

The following table lists basic addition facts.

Basic Addition Facts
0 + 0 = 0
1 + 0 = 1
2 + 0 = 2
3 + 0 = 3
4 + 0 = 4
5 + 0 = 5
6 + 0 = 6
7 + 0 = 7
8 + 0 = 8
9 + 0 = 9
0 + 1 = 1
1 + 1 = 2
2 + 1 = 3
3 + 1 = 4
4 + 1 = 5
5 + 1 = 6
6 + 1 = 7
7 + 1 = 8
8 + 1 = 9
9 + 1 = 10
0 + 2 = 2
1 + 2 = 3
2 + 2 = 4
3 + 2 = 5
4 + 2 = 6
5 + 2 = 7
6 + 2 = 8
7 + 2 = 9
8 + 2 = 10
9 + 2 = 11
0 + 3 = 3
1 + 3 = 4
2 + 3 = 5
3 + 3 = 6
4 + 3 = 7
5 + 3 = 8
6 + 3 = 9
7 + 3 = 10
8 + 3 = 11
9 + 3 = 12
0 + 4 = 4
1 + 4 = 5
2 + 4 = 6
3 + 4 = 7
4 + 4 = 8
5 + 4 = 9
6 + 4 = 10
7 + 4 = 11
8 + 4 = 12
9 + 4 = 13
0 + 5 = 5
1 + 5 = 6
2 + 5 = 7
3 + 5 = 8
4 + 5 = 9
5 + 5 = 10
6 + 5 = 11
7 + 5 = 12
8 + 5 = 13
9 + 5 = 14
0 + 6 = 6
1 + 6 = 7
2 + 6 = 8
3 + 6 = 9
4 + 6 = 10
5 + 6 = 11
6 + 6 = 12
7 + 6 = 13
8 + 6 = 14
9 + 6 = 15
0 + 7 = 7
1 + 7 = 8
2 + 7 = 9
3 + 7 = 10
4 + 7 = 11
5 + 7 = 12
6 + 7 = 13
7 + 7 = 14
8 + 7 = 15
9 + 7 = 16
0 + 8 = 8
1 + 8 = 9
2 + 8 = 10
3 + 8 = 11
4 + 8 = 12
5 + 8 = 13
6 + 8 = 14
7 + 8 = 15
8 + 8 = 16
9 + 8 = 17
0 + 9 = 9
1 + 9 = 10
2 + 9 = 11
3 + 9 = 12
4 + 9 = 13
5 + 9 = 14
6 + 9 = 15
7 + 9 = 16
8 + 9 = 17
9 + 9 = 18

Back to Main Menu

EXERCISE

Add the following pairs of numbers.
(a) 3 + 7
(b) 5 + 3
(c) 4 + 9
(d) 7 + 4
(e) 8 + 2
(f) 5 + 1
(g) 9 + 8
(h) 2 + 6
(i) 8 + 5
(j) 6 + 9

ANSWERS

(a) 3 + 7 = 10
(b) 5 + 3 = 8
(c) 4 + 9 = 13
(d) 7 + 4 = 11
(e) 8 + 2 = 10
(f) 5 + 1 = 6
(g) 9 + 8 = 17
(h) 2 + 6 = 8
(i) 8 + 5 = 13
(j) 6 + 9 = 15

Back to Main Menu

Mixed Numbers

PROBLEM

Evaluate each of the following:
(a) (3 2/3 - 5 1/2) + 7 7/8
(b) 7 - (3 5/8 - 2 4/5)
(c) 5 - (2 1/8 + 1 3/5)

SOLUTION

(a) (3 2/3 - 5 1/2) + 7 7/8 = 3 2/3 - 5 1/2 + 7 7/8 = 3 - 5 + 7 + 2/3 - 1/2 + 7/8 = 5 + 2/3 - 1/2 + 7/8
= 5 + (16 - 12 + 21) / 24 = 5 + 25/24 = 5 + 1 + 1/24 = 6 1/24

(b) 7 - (3 5/8 - 2 4/5) = 7 - 3 5/8 + 2 4/5 = 7 - 3 + 2 - 5/8 + 4/5 = 6 - 5/8 + 4/5 = 6 + (-25 + 32) / 40
= 6 + 7/40 = 6 7/40

(c) 5 - (2 1/8 + 1 3/5) = 5 - 2 1/8 - 1 3/5 = 5 - 2 - 1 - 1/8 - 3/5 = 2 - 1/8 - 3/5 = 2 - (5 + 24) / 40
= 2 - 29/40 = 1 11/40

Back to Main Menu