To multiply mixed numbers, change the mixed numbers to improper fractions and multiply.

Treat the fractions as separate units and multiply as with whole numthen combine the results by addition.

bers;

7. How many yards are there in 161 rods?

8. How many feet in 251 rods?

9. How many square yards in 101 square rods?

10. How many square inches in a page of a reader that is 51 in. by 7 in.?

11. Measure a page of your arithmetic and find the number of square inches in it.

12. Measure the top of your desk and find the number of square inches in it.

13. John walks 33 mi. in 1 hour. How far does he walk in 11g hours?

14. If one acre of land costs $2153, what will 82 acres cost? 15. How many square feet in your school room floor?

DIVISION OF MIXED NUMBERS

93. TO DIVIDE A MIXED NUMBER BY AN INTEGER OR THE REVERSE.

Divide: 10551.

5121; 105÷21= 105 × 24 = 420 = 20.

=

To divide a mixed number by an integer, or an integer by a mixed number, change the mixed number to an improper fraction and divide.

94. TO DIVIDE A MIXED NUMBER BY A MIXED NUMBER.

41 ÷ 3 = 2 ÷ 2 = 27 ÷ 22 = 37 = 12%.

To divide mixed numbers, reduce to improper fractions and divide.

96. Solve, multiplying or. dividing as necessary :

1. The conductors on the street cars of a certain city

receive 221 cents an hour.

Alfred Harris worked as follows for one week:

How much did he earn during the week?

2. How many square yards in 1862 square rods?

3. My garden is 25 yards long and 164 yards wide. How many square rods does it contain?

4. If a block of granite weighs 411 tons, what is the weight of a pedestal containing 96 blocks?

DECIMAL FRACTIONS

97. A decimal fraction is a fraction whose denominator is 10 or some power of 10. Usually the denominator is not written but is indicated by a decimal point placed before the numerator. .06, .004, are decimal fractions.

Decimal fractions written with a decimal point are called decimals.

A decimal of less value than 1 is called a pure decimal, as .01, .25.

A decimal containing a whole number is called a mixed decimal, as 2.56, 3.02.

What is the first place to the right of the decimal point called?

ORAL AND WRITTEN EXERCISES

98. Read or write as directed:

1. Read: .025; .0225; .00225; 2.25; 22.5; 2.6; 26; .260; .026; .0026; .00026; 26.000; 26.26; 262.6; 2.626. 2. Write as decimals: three thousandths; one millionth h; two hundred sixty-five ten-thousandths; one, and three thousand, five hundred seventy-four hundred-thousandths; six hundred, and six hundred-thousandths.

3. Is there any difference in the values of .6 and of .6000? Tell why. Write them both as common fractions.

5. Write in decimal form:

One dollar, two cents, three mills.

One mill.

Ten dollars, one cent, one mill.

One thousand dollars, one mill.

REDUCTION OF DECIMALS

99. REDUCING DECIMALS TO COMMON FRACTIONS.

Reduce .16 to a common fraction.

To reduce a decimal to a common fraction, supply the denominator indicated and reduce the fraction to its lowest terms.

To reduce a common fraction to a decimal, add as many ciphers as may be necessary to the numerator and divide by the denominator. Point off as many places as the number of ciphers added, prefixing ciphers to the quotient, if required, to make the proper number of places.

Reduce to the decimal form :

.3331 3)1.000

If after three divisions a remainder is still left, it is usually better to write it over the divisor as a common fraction.

ADDITION AND SUBTRACTION OF DECIMALS

103. How do you write decimals for addition? 1. Add:

32.654+18.275 +3.06;

76.405+1.83769+.2793.

3. One million dollars ten cents, from one million, one thousand dollars, ten cents, one mill.

WRITTEN EXERCISE

104. Solve:

1. A room is 21.5 ft. long, 16.2 ft. wide. of baseboard will it require?

What length

2. A man owns 3 city plots containing 1.413 acres, 2.04 acres, and 6.125 acres. He sold 5 acres. How many acres

had he left?

3. A corn plant grew .1 in. on Monday, .003 in. on Tuesday, in. on Wednesday, and on Thursday as much as on the three preceding days. How much did it grow in the 4 days?