As this law applies to figures at the left of the decimal point as well as at the right of it, the name decimal system includes our common method of writing whole numbers as well as fractions. A familiar illustration of this law is the notation of United States money. For example: five dollars and fifty cents is written; $5.50. The 5 at the left of the point represents five dollars, which is ten times as much as the five dimes represented by the 5 at the right of the point. Write: 1. 33 hundredths. EXERCISE 3 2. 2005 thousandths. 3. 329 thousandths. 5. Two hundred three thousandths. 6. Seven hundred and four thousandths. 7. Nine hundred three thousandths. 8. Nine hundred and three thousandths. 9. Six thousand seven hundred ten-thousandths. 10. Six thousand seven hundred and one ten-thousandth. 11. Five hundred ninety ten-thousandths. 12. Five hundred and ninety ten-thousandths. 13. Six thousand one ten-thousandths. 14. Seven hundred ten-thousandths. 15. Seven hundred ten thousandths. 16. Five hundred thousandths. 17. Five hundred-thousandths. 18. Two hundred seven hundred-thousandths. 19. Two hundred and seven hundred-thousandths. NUMERATION OF DECIMALS To read a decimal, read the number shown by the figures as if it were a whole number; then give to it the name of the place occupied by the right-hand figure; thus, .002135 is read two thousand one hundred thirty-five millionths. If there are figures at the left of the decimal point, read them as if there were no other figures; say "and,” to represent the decimal point, and then read the decimal; thus 45,132.017 is read forty-five thousand one hundred thirty-two and seventeen thousandths. In general, a decimal is read as if it were a whole number and then is given the name of the place that the righthand digit occupies. In reading decimals and should not be used except to connect the integral and the decimal parts of the number. For example, 500.005 is read five hundred and five thousandths. .505 is read five hundred five thousandths. 8.0379 is read eight and three hundred seventy-nine ten-thousandths. .8379 is read eight thousand three hundred seventy-nine ten-thousandths. ADDITION The number obtained by combining two or more numbers into a single equivalent number is called the sum. Addition is the process of finding the sum of two or more numbers. The numbers to be added are called addends. The sign of addition is +, and is read plus. = 13 Thus 5 + 8 = 13, and is read five plus eight equals thirteen. Only numbers which represent objects of the same kind can be added. For example: 5 apples + 8 apples apples; but 5 apples cannot be added to 8 sticks. In this latter case, if we can give the quantities such names as will make them of the same kind, the addition can be performed; thus, apples and sticks are objects; therefore, we can say 5 objects + 8 objects = 13 objects. In performing addition, write the numbers in a column so that the units' figures of all the numbers are in one column, the tens' figures in one column, the hundreds' figures in one column and so on; then add the right-hand column; then the next column to the left, and so on, In case the sum of one column consists of tens and units, the units are written and the tens are added with the next column, the 1 to the next column. 1, 9, 12, 15. Write the 5 and carry the 1 to the next column. 1, 7, 16, 24, 30. Write the 0 and carry the 3 to next column. 3, 10. 10. The sum is 100548. EXERCISE 5 Write the The following table gives the number of children of school age, the number enrolled, the average daily attendance, and the total expenditures for the public schools of the United States by states and territories for the school year 1909. Find the totals for each of the divisions named. find the totals for the entire country. Also |