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or twelve: 12. The figure 1 stands for the ten, and the figure 2, at the right of the 1, stands for the two. You may write the figures for twelve. Can you write thirteen in figures? Yes: 13. Write fourteen: 14; fifteen: 15; sixteen: 16; seventeen: 17; eighteen 18; nineteen: 19. Very well. All right.

LESSON XIX.

How many balls are there on the top wire of the Numeral Frame? Ten.

How many on the second wire? Ten.
How many on both wires? Twenty.

If

Now, if we put one more ball with these twenty, how many balls shall we have? we put one ball with twenty balls we shall have twenty-one balls. These figures stand for twenty-one: 21. What figures are they? They are a 2 with a 1 on the right of it. The two stands for twenty, or two times ten balls, and the 1, at the right of the 2, stands for the one ball.

How do the figures for twenty-one differ from those for twelve? They are the same figures, but they are placed differently. How are they placed? For twenty-one, the 2 stands at the left of the 1; but for twelve, the 1 stands at the left of the 2. When two figures stand for a number, the left-hand figure is for the tens and the right-hand figure for the ones.

Now you may write the figures for twentyone: 21. Now write them for twelve: 12. That is right.

If two balls are put with twenty balls, how many balls shall we have? Twenty balls and two balls are twenty-two balls. These figures stand for twenty-two: 22. The left-hand 2 stands for the twenty, or the twice ten balls, and the right-hand 2 for the two balls.

How many are twenty and three? Twenty and three are twenty-three.

Can you make the figures for twenty-three? Yes 23. Right.

Now you may make the figures for twentyfour: 24; for twenty-five: 25; for twenty-six : 26. What number do these figures stand for: 27? They stand for twenty-seven. These: 28? For twenty-eight. These: 29? For twenty-nine.

LESSON XX.

Now I think you can make the figures for any number that is less than one hundred.

You may make the figures for any ten num bers you please, and tell me what they stand for. We will.

36 stands for Thirty-six.

[blocks in formation]

Well.

Seven

Now you may write the words for any ten numbers, and then make the figures which mean

the same.

is the same as 7

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two numbers? It does not. In the last number it stands for 9 tens, and in the other it stands for 9 ones. How do you know it stands for 9

tens in the last number? Because there is a figure at the right of it, and this shows that it is 9 tens.

How many Arabic figures are there? Are there any other marks that stand for numbers? Yes; there are seven letters which stand for numbers. Here they are:

D,

M.

I, V, X, L, C, One, Five, Ten, Fifty, One hundred, Five hundred, One thousand.

These are called Roman figures. The Arabic, figures are much better than the Roman, because they are easier to use. You will notice the manner of using the Roman figures at the beginning of these lessons, and perhaps your teacher will tell you more about them.

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right? How many more on one side than on the other? Two from three leaves how many? Three are how many more than two?

Ella is giving the dolls a ride. She put five dolls in the wagon, but one of them has fallen out; how many remain in? One from five leaves how many?

There are three books on the lower shelf of the book-case, and two on the next shelf; how many books are there on both shelves? How many more on one shelf than on the other?

Count the hats hanging upon the hooks.

How many less in the upper row than in the lower?

Three from four leaves how many ?

Three and four are how many? Four and three?

Little Arthur is playing with the blocks on the floor. Can you count the blocks? How many are there? How many more on one side of him than on the other?

How many are five and four? Five less four? One ox has 4 legs, and one horse has 4 legs; how many legs have one

ox and one horse? How

many are 4 and 4?

If a horse will eat 5 quarts of meal, and an ox 4 quarts, how many quarts of meal will a horse and an ox eat?

and a

How many are 5 and 4? 4 and 5? An ox will eat 3 tons of hay in a year, horse 5 tons; how many tons will an ox and a horse together eat?

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