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MULTIPLICATION AND DIVISION FACTS

5. Review of Multiplication and Division Facts

11

[Without pencil.]

The following exercise contains the numbers that are most likely to give trouble in multiplication. Practice giving their products in two ways; for example: 7 × 8 = 56; 8 × 7 = 56:

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In the columns below will be found some of the numbers that give trouble in division. Practice dividing the numbers in each column by the number above the brace at the top:

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8. What is of 40? What is of 40?

To find of 40, divide 40 by 4, then multiply the quotient by 3.

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These tests will help you master the facts you need to know in order to multiply and divide. Practice on each until you can write the answers correctly.

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Test No. 7. Division. Time allowance for each set of 6 problems, 1 minutes.1

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1 Quotients may be written on a piece of paper held below dividends, or problems

may be copied before timing pupils.

NAME OF TERMS IN MULTIPLICATION

6. The Name, or Denomination, of Terms in Multiplication

I

13

What is the product when 16 bushels is multiplied by 14? When 18 pounds is multiplied by 60? When $1.25 is multiplied by 102?

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Which terms in multiplication are given the same name? Which term means times and can have no other name given it?

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9. In finding the cost of 24 barrels of apples at $4.25 a barrel, will the product be barrels or dollars and cents? How do we know which number is to be used as the multiplicand?

10. One hundred fourteen boxes of freight each weighing 165 pounds are to be shipped. In finding the weight of the entire number of boxes, which number will be used as the multiplicand? Why?

II. Find the cost of 18 bushels of potatoes at $1.95 a bushel.

12. A bushel of corn weighs 56 pounds. What is the weight of 42 bushels?

13. John's mother orders 3 pounds of butter at 64¢ a pound; 4 dozen eggs at 70¢ a dozen; and a dollar's worth of sugar. Find the amount of her bill.

II

[Use pencil only when needed.]

1. What is the difference between the product of 3 times 4 and that of 4 times 3?

2. What is the difference between the product of 20 times 10 and that of 10 times 20?

The position of the multiplicand and the multiplier may be changed without altering the value of the product.

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At 8é a pound, how much must be paid for 16 lb. of flour?

16 x 8=8×16.

16
8

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The cost of the flour is $1.28.

In solving this problem, since it is more convenient to multiply 16 by 8 than 8 by 16, the denominations of the terms are omitted, and the positions of the multiplicand and the multiplier are changed.

[With pencil.]

1. Multiply: 9 lb. by 122; 7 yd. by 21; 6¢ by 312; 15¢ by 125; $25 by 244.

Find the cost:

2. Of 24 pounds of rice at 18¢ a pound.

3. Of 3 dozen oranges at $.58 a dozen.

4. Of 4 barrels of apples at $4.75 a barrel. 5. Of 196 pounds of flour at 7¢ a pound.

PRACTICE IN SHORT DIVISION

6. Of 15 pounds of butter at.$.62 a pound.

7. Of 25 pounds of sugar at 12¢ a pound. 8. Of 24 cakes of soap at 7¢ a cake.

9. Of 105 feet of wire at 3¢ a foot.

15

10. Of 2 dozen lemons at 48¢ a dozen and 4 pounds of California grapes at 16é a pound.

II. Of 18 glass jars at 12¢ apiece and 24 jelly glasses at 6¢ apiece.

*12. Find the amount of change from a ten-dollar bill in paying for 12 boxes of blueberries at 30¢ a box, and 2 bushels of pears at 60¢ a peck.

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1. The railway distance across our country from Boston to San Francisco is 3313 miles. A through sleeping car is hauled this distance in 4 days. How can the average distance that it is carried each day be found? Find it.

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