INTERMEDIATE ARITHMETIC, SECTION I. NOTATION AND NUMERATION. LESSON I ORAL EXERCISES. Article 1.-1. Here are one hundred balls in ten rows. How many balls are there in one row? How many balls in two rows? In three rows? In five rows? In eight rows? In eight rows? In ten rows? (9) 2. How many ones in ten? How many ones in two tens? In five tens? Eight tens? Ten tens? 3. How many tens in ten? twenty? In thirty? Forty? Eighty? One hundred? How many tens in Art. 2. When a number is expressed by two figures, the first or right-hand figure denotes Units, and the second or left-hand figure denotes Tens. 4. Which figure in 25 denotes units? Which denotes tens? 5. How many tens and units are there in 37? In 57? 46? 33? 50? 45? 64? 88? 94? 99? Art. 3. In reading numbers, the tens and units. are read together as so many units. Thus, 45 is read forty-five units, or, more briefly, forty-five. Read the following numbers, and give the number of tens and units in each: Art. 4. When a number is expressed by three figures, the third or left-hand figure denotes Hundreds. 12. Which figure in 245 denotes hundreds? Which figure denotes tens? Which denotes units? 13. How many hundreds, tens, and units in 426? 708? 340? 235? 406? 56C? 666 ? Read the following numbers, and give the number of hundreds, tens, and units in each: 19. What is the greatest number that can be expressed by one figure? By two figures? By three figures? 20. When numbers are expressed by figures, in which place or order is the figure denoting units written? The figure denoting tens? The figure denoting hundreds? Art. 5. The first three figures, viz.: units, tens, and hundreds, constitute the first or Units' Period. WRITTEN EXERCISES. 1. Write in words, 4, 6, 8, 13, 14, 18, 20, 24, 30, 34. 2. Write in words, 40, 46, 60, 67, 70, 78, 80, 83, 87, 90, 95, 99. Express in figures the following numbers: 6. Express in figures the numbers composed of three tens and four units; six tens and seven units; seven tens and six units; seven tens. 7. Express in figures the numbers composed of six tens and eight units; three tens and nine units; nine tens and no units; seven units. 8. Write in words, 100, 150, 200, 280, 300, 350, 390, 560, 607, 803, 340, and 908. Express in figures the following numbers: (9) Two hundred; Three hundred and forty; (10) Four hundred and five; 11. Express in figures the numbers composed of three hundreds, five tens, and four units; six hundreds, four tens, and three units; five hundreds, seven tens, and no units. 12. Express in figures the numbers composed of eight hundreds and six tens; five hundreds and four tens; seven hundreds and five units; two hundreds and six units; six tens. 13. What number is composed of 3 hundreds, 0 tens, and 6 units? 2 hundreds and 3 tens? 4 hundreds and 6 units? 5 hundreds and 8 tens? 14. What number is composed of 5 tens and 8 units? 6 hundreds and 5 units? 7 hundreds and 6 tens? LESSON II. ORAL EXERCISES. Thousands' Period - Thousands, Ten-thousands, Hundred-thousands. Art. 6. When a number is expressed by four figures, the fourth or left-hand figure denotes Thousands. 1. How many thousands in 4,635? 6,309? 7,554? 5,384? 8,054? 5,006? 3,045? 2. Read the units' period in 6,325; 5,080; 7,009; 3,406; 5,800; 6,370; 7,590; 8,008. Read the following numbers: Art. 7. When a number is expressed by five figures, the fifth or left-hand figure denotes tens of thousands, or Ten-thousands. 8. How many ten-thousands in 45,684? 50,480 ? 38,305? 15,056? 80,650? 9. How many ten-thousands and thousands in 36,308? 48,500? 60,070? 85,350? 90,308 ? Art. 8. In reading a number expressed by five figures, the fifth and fourth figures are read together as so many thousands. Thus, 45,000 is read forty-five thousand. |