Efficiency Arithmetic: Intermediate

Jane and Robert agreed to save at least half of what they earned during the summer vacation. They kept an account of what they earned in order to know how much they should put in the bank.

Exercise 1

1. During the 12 weeks of summer vacation, Jane earned 25 cents a week for drying the lunch dishes each day. How much did she earn from this source during vacation?

2. What did she earn at 10 cents a week for keeping the pansy bed weeded and the pansies picked?

3. She picked 16 quarts of cherries at 3 cents a quart from the trees in the back yard. What did she earn in this way?

4. She picked 24 quarts of strawberries at 2 cents and 6 quarts of red raspberries at 4 cents a quart. How much did she earn picking berries?

5. She hemmed a dozen tea towels at 5 cents apiece. How much did she earn by her sewing?

6. She was paid 10 cents a week for dusting the living room each day and keeping a fresh bouquet on the dining-room table. How much did she earn in this way?

7. Find Jane's earnings for the 12 weeks.

8. Of this, she put $5.00 in her bank. How much had she left to spend?

9. During these 12 weeks, Robert earned 25 cents a week for cutting the grass and 75 cents for digging dandelions from it. How much did he earn in all taking care of the lawn?

10. He picked 20 quarts of cherries at 3 cents a quart, 25 quarts of strawberries at 2 cents and 10 quarts of red raspberries at 4 cents. How much did he earn in all picking fruit?

11. He received 10 cents a week for washing the porches and sidewalks with the hose and earned $1.00 altogether for going on long errands. How much did he earn in these two ways?

12. He picked 12 quarts of peas and 8 quarts of beans at 2 cents a quart and 2 bushels of cucumbers at 10 cents a bushel. How much did he earn picking these vegetables?

13. Find Robert's total earnings for the 12 weeks.

14. He put $5.00 in the bank. How much had he left to spend?

15. When school began, Robert bought 2 pencils, an eraser, a spelling blank, a penholder and a ruler, each of which cost 5 cents. How much of his money had he left?

16. Jane bought 2 five-cent pencils, a five-cent spelling blank, a box of crayons for 20 cents and 2 five-cent tablets. How much did she spend on these school supplies? How much of her money did she have left?

NOTATION AND NUMERATION

Exercise 2. Reading and Writing Numbers

You have already had some practice in reading and writing numbers. In your studies this year you will find many large numbers and you should be able to read them rapidly and accurately. In order to do this you will need to understand our system of writing and reading numbers.

1. In the number 21 what does the figure 1 stand for? The figure 2?

2. Tell what each figure stands for in the number 536.

Do you know how many people in the United States have savings accounts? In 1915 there were 11,811,169 people who had money on deposit in savings banks.

Notice that a large number such as 11,811,169 is separated into groups for convenience in reading. What names are given to these groups?

The number, then, is read eleven million, eight hundred eleven thousand, one hundred sixty-nine.

In pointing off whole numbers we begin at the right hand figure. How many figures are put into each group? These groups are generally called periods.1

3. In the number 3,006 why is it necessary to fill in the vacant places with zeros? What would the number be without the two zeros between the 3 and the 6?

'If a number contains more than three periods, the fourth period is called billions.

16. Read the populations for 1920 of these ten largest cities in the United States: New York 5,621,151; Chicago 2,701,212; Philadelphia 1,823,158; Detroit 993,739; Cleveland 796,836; St. Louis 773,000; Boston 747,923; Baltimore 733,826; Pittsburgh 588,193; Los Angeles 575,480.

Exercise 4

Write the following numbers:

1. One thousand, nine hundred fifteen.

2. Five thousand, four hundred eight.

3. Ten thousand, six hundred seventy-three.

4. Fifty-six thousand, one hundred fifty-three.

5. One hundred three thousand, eight hundred seventy. 6. One million, eighty thousand, six hundred seventy-five. 7. Twenty-one million, four hundred thousand, forty-eight. 8. Two hundred thirty-seven thousand, five hundred sixty. 9. One hundred million, one hundred thousand, one hundred. 10. Two million, eight hundred thirty-four thousand, nine. 11. Write a number containing at least two periods and read it to some pupil to write on the blackboard.

The teacher may also dictate in words the numbers in Exercise 3 for additional practice in writing numbers.

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