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"So teach us to number our days that we may apply our heart

wisdom."

APPENDIX A.

Short Methods in Multiplication and Division.

Art. 1. To multiply a number by 50: Multiply of the number by 100.

Why?

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(a) Find the sum of the twelve products.

[blocks in formation]

(b) Find the sum of the twelve products.

[blocks in formation]

(c) Find the sum of the twelve products.

Art. 4. To multiply a number by 49:

Take 50 tin

number, from which subtract the number itself. Why?

[blocks in formation]

(d) Find the sum of the twelve products.

Art. 5. To multiply a number by 33: Multiply

[blocks in formation]

(e) Find the sum of the twelve products.

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Art. 9. To multiply a number by 25: Multiply of the number by 100. Why?

[blocks in formation]

(i) Find the sum of the twelve products.

Art. 10. To multiply a number by 26: number, to which add the number itself.

[blocks in formation]

Take 25 times the Why?

900 + 36 = 936

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(j) Find the sum of the twelve products.

Art. 11. To multiply a number by 27: number, to which add twice the number.

36 × 27 25 times 36 = 900

Take 25 times the Why?

900+72972

[blocks in formation]

(k) Find the sum of the twelve products.

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