Moth. 5 are how many more than 3?
Child. 5 are 2 more than 3.

Moth. Prove that 5 are 2 more than 3.

Child. 5 are 1 more than 4; 4, 1 more than 3; 1 and 1 are 2; consequently, 5 are 2 more than 3.

Application.

Moth. Among 3 boys I distribute some nuts; to the first I give 2, to the second 4, and to the third 6 nuts. Which of these boys has the most, and how many more has he than each of the two other boys?

Child. The third boy has the greatest number of nuts; he has received 2 more than the second, and 4 more than the first boy.

Comparison of Numbers by less.

The cubes are placed in the same way as in the foregoing exercise.

1. Is shewn that 2, 3, 4, &c. are less than 3, 4, 5, &c. without mentioning how much. 1 is less than 2

3

6

1 is 1 less than 2 and 2 less than 3

Moth. 5 are how many less than 7?

Child. 5 are 2 less than 7.

Moth. Try to prove that.

Child. 5 are 1 less than 6; 6 are 1 less than 7; and 1 and 1 are 2; consequently 5 are 2 less than 7.

Application.

Moth. One workman earns 5 shillings a day, and another earns 2 shillings; how much less does the latter earn than the former ?

Child. The latter earns 3 shillings less than the former.

Moth. What number is 3 more than 5, and

2 less than 10?

Child. The number 8.

Moth. 4 are how many more that 1, and how many less than 7?

Child. 4 are 3 more than 1, and 3 less thau 7, &c.

Another Exercise, combining Position with Number.

Moth. (Placing a number of cubes, for instance 12, in pairs upon the table.) How many times 2 are here?

Child. 6 times 2.

Moth. Mark well how many are placed here; for I shall take some away, and you are to tell how many I have taken away. (The children having viewed them, were desired to turn about, or to shut their eyes; and the Mother having taken away seven cubes, made