LESSON 2.

I wish to know the difference between 45621 and Answer, 10379.

35242.

DIRECTIONS.

Look at the Card, Lesson 2.

Set down 45621, and under that 35242.

45621 Begin with the 2 on the right and say, 35242 2 from 1, I cannot; borrow 10 from the place of tens and say, 2 from 11 and 9 10379 dif. remain-carry the 10 that I borrowed but call it one; 1 to 4 makes 5-5 from 2, I cannot; borrow 10 from the place of hundreds, and say, 5 from 12 and 7 remain-carry 1 to 2 makes 3-3 from 6 and 3 remain; 5 from 5 and 0 remains-3 from 4 and 1 remains.

LESSON 3.

582137 Dollars lent to the United States.
216232 Received back.

365905 Yet due.

Operate thus.

Two from 7, 5 remain-3 from 3, 0 remains-2 from 1, I cannot take; borrow 10 and say, 2 from 11 and 9 remain-carry 1 to 6 makes 7-7 from 2, I cannot; borrow 10 and say, 7 from 12 and 5 remain— carry 1 to 1 makes 2-2 from 8 and 6 remain—2 from 5. and 3 remain.

The sum dne is 365905. In words, Three hundred sixty-five thousand nine hundred and five.

the card.

Prepare your work on the slate like lesson 4, on Now say, 2 from 1, I cannot; borrow 10 say, 2 from 11-9 remain-carry 1 to 1 makes 2,

and

-2 from 2 and 0 remains-9 from 8, I cannot; borrow 10 and say, 9 from 18 and 9 remain-carry 1 to 4 makes 5-5 from 6 and 1 remains-2 from 5 and 3 remain-3 from 4 and 1 remains. Answer in figures, 131909. In words, One hundred and thirty-one thousand nine hundred and nine.

LESSON 5.

601021 Dollars sent to sea.

8970 Lost.

592051 On hand.

Prepare your work on the slate from card 6, lesson 5.

Nothing from 1 and 1 remains-7 from 2, I cannot ; borrow 10 and say, 7 from 12 and 5 remain-carry 1 to 9 makes 10-10 from 0, I cannot; borrow 10 and say, 10 from 10 and 0 remains-carry 1 to 8 makes 9

-9 from 1, I cannot; borrow 10 and say, 9 from 11 and 2 remain-carry 1-1 from 0, I cannot; borrow 10 and say, 1 from 10 and 9 remain-carry 1-1 from 6 and 5 remain.

The sum remaining on hand is in figures 592051. In words, Five hundred and ninety-two thousand and fifty-one.

Begin at the right hand 2 and say, 2 from 3 and 1 remains-3 from 10 and 7 remain-carry 1-1 to 2 makes 3-3 from 9-6 remain-6 from 11 and 5 remain-carry 1 to 6 makes 7-7 from 12 and 5 remain-carry 1 to 2 makes 3-3 from 8 and 5 remain. Answer in figures 555671.

One from 0, I cannot; but 1 from 10 and 9 remain ; carry 1 to 2 makes 3-3 fron 11 and 8 remain-carry 1 to 6 makes 7-7 from 12 and 5 remain-carry 1 to 1 makes 2-2 from 11 and 9 remain-carry 1 to 2 makes 3-3 from 8 and 5 remain-5 from 7 and 2 remain.

Answer in figures, 259589. In words, Two hundred and fifty-nine thousand five hundred and eightynine.

PROOF BY ADDITION.

Add the two lower lines to make a total equal to the upper line; thus,

Second line, 521621

Like the first line, 781210 Proof.
LESSON 8.

If 641315 Soldiers enter Russia,
and 426436 are lost, how many return?

Ans. 214879 return.

Six from 5, I cannot; borrow 10, and say, 6 from 15, and 9 remain-carry 1 to 3 makes 4-4 from 11 and 7 remain-carry 1 to 4 makes 5-5 from 13 and 8 remain-carry 1 to 6 makes 7-7 from 11 and 4 remain-carry 1 to 2 makes 3-3 from 4 and 1 remains -4 from 6 and 2 remain.

Answer in figures, 214879. In words, Two hundred and fourteen thousand eight hundred and seventynine.

LESSON 9.

What is the difference between 456781, and 326879? Place the figures as on the card.

456781 Nine from 1, I cannot; borrow 10 and 326379 say, 9 from 11 and 2 remain-carry 1 to 7 makes 8-8 from 8, 0 remains-8 from 7 129902 I cannot; borrow 10 and say, 8 from 17

and 9 remain-carry 1 to 6 makes 7-7 from 6, I cannot; borrow 10 and say 7 from 16 and 9 remaincarry 1 to 2 makes 3-3 from 5 and 2 remain-3 from 4 and I remains.

Difference in figures 129902. In words, One hundred and twenty-nine thousand nine hundred and

two.

PROOF BY ADDITION,

Place the second line on your slate-Under that place the third line, then add,

Second line, 326879

Third line,

129902

Like unto the first line 456781 Proof.

LESSON 10.

If I have on hand 642137 Shingle nails, and use 172318, how many remain on hand?

Place your figures as in Lesson 10, on the card. 642137 Nails on hand,

472318 Made use of,

169819 Remain on hand.

Eight from 7, I cannot; borrow 10 and say, 8 from 17 and 9 remain-carry 1 to 1 makes 2-2 from 3 and 1 remains-3 from 1, I cannot; borrow 10 and say, 3 from 11 and 8 remain-carry 1 to 2 makes 3— 3 from 2, I cannot; borrow 10 and say, 3 from 12 and 9 remain-carry 1 to 7 makes 8-8 from 4 I cannot ; borrow 10 and say, 8 from 14 and 6 remain-carry 1 to 4 is 5-5 from 6 and 1 remains. Answer in figures, 169819. In words, One hundred and sixty-nine thousand eight hundred and nineteen.

PROOF BY ADDITION.

Like the first line 642137 on hand before they were used.

Two from 0, I cannot; borrow 10 and say, 2 from 10 and 8 remain-carry 1 to 1 makes 2-2 from 11 and 9 remain-carry 1 to 0 makes 1-1 from 2 and 1 remains―0 from 0 and 0 remains-4 from 6 and 2 remain-3 from 4 and 1 remains. Answer in figures. 120198. In words, One hundred and twenty thousand one hundred and ninety-eight.

Sold

PROOF BY ADDITION.

Remain unsold

340012

120198

The number bought 460210 Proof.

Now let the learners omit their phrases in saying, "borrow 10." They may mentally consider it without speaking aloud. See Lesson 12.

LESSON 12.

From 900000

Take 426436 how many remain ?

Answer, 473564

Six from 10 and 4 remain-carry 1 to 3 is 4-4 from 10 and 6 remain-carry 1 to 4 is 5-5 from 10 and 5 remain-carry 1 to 6 is 7-7 from 10 and 3 remain-carry 1 to 2 is 3-3 from 10 and 7 remaincarry 1 to 4 is 5-5 from 9 and 4 remain.

Answer in figures, 473564. In words, Four hundred and seventy-three thousand five hundred and sixty-four.