Graham's elementary arithmetic for fourth and fifth grades by Graham J. W

Author:Graham, J. W
Language: eng
Format: epub
Tags: Arithmetic
Publisher: Richmond, B.F. Johnson Pub. Co.
Published: 1895-03-25T05:00:00+00:00

^Vl°>««

* JS«k «»t> *2l«*£ ** «*

*U

^CS? ^i^-'^

*QoA

***fi

°^—*^>«*,

'^hc

e 4

€**>

A?ftS

:«.*? ^«a^

**. tf

"^""^^^.^

**«;ij<

WJ*«

is

*,_ **"*°«^

0*

°*^?

°/,

"o«4

**3,

*Q ^

H'S^i

^ -fr*7

»0*

touch

(Cat^

0/

»h ai

ai-e

J3

5. If a horse eat f of a bushel of oats in one day, how much will he eat in 8 days? in 10 days?

6. Multiplying the numerator multiplies the number of parts. § X4=|. Multiply the denominator of | by 4, and you get T 3 g , and T 3 g is less than f. If you* divide the denominator, you make the parts larger. Divide the denominator of | by 2, and you get |, which is greater in value than j.

7. Then this will be your thirteenth principle: Multiplying a fraction consists in multiplying the numerator or dividing the denominator,

8. Write the complete Table of Principles, Do not omit the thirteenth principle.

XXV.

1. |x2=g=| AX2=? |X7=? f X 3=V 2 =2§ |Xll=? T 3 T X3=? 1*3X6=? |Xl5=? fx6=? T ^ X 5=? T 9 *X9=? fXl6=? IX8=? T 7 aX6=? ifx3=? |X12=? |X10=? t 8 tX7=? ?X7=? T 6 gXl2=?

2 3—1 — 9 £—4—-9 i5__ 4 —9 i«__ii — 9

2_1 0 fi 5 9 Ifi 5 0 17 5 0

5 3— r 7 7—' yg — T5 — r 22 22" r 7 6 0 9 5 0

3. Fourteenth principle: Dividing the numerator divides the fraction; dividing the denominator increases the value of the fraction.

(Let the pupils try to show this at the board.) XXVI.

M+4H-1 4+§+4=? A+A+A-*

2. !+|=|=2 i+i+i-? a+a+h-?

3. *+!-? !+?+!=? A+t 7 b+1§=?

4. |+S=? 3+1+5=? 3 VKVHS = ? 5- 8+1= ? t'o+t 6 o+t 7 5 =? A+sfr+s 7 *-*

(Use the disks, each pupil preparing the parts for one example.)

6. Reduce these fractions to higher terms by multiplying both terms of each fraction by 6 or by some other number: fig-ll «, i£, A, j|.

7. JSJ-tt, A. *■***. $>• §> t\> A, A, IS-

»• fl> T0> V> ft. ?•

XXVII.

1. Reduce these fractions to their lowest terms by dividing both terms by the largest divisor: |, f §, jg, iil> s?> i$» 18-

2. ft, i|, £g-, jf, if, ||, fg. 3- I i4. If. U, if, !*, f 8-4. *, il. ill. if. if, II. H-

How do you reduce a fraction to its lowest

terms? How do you reduce a fraction to higher terms? 6. Beduce these mixed numbers to improper fractions: 2i-f , 5}, 74, 9J, 12f, Wf.

6. 3f-V,6f,7f,»f,14f,18A.

7. 8f, 6f, 8f, lOf, 14f, 26f.

8. 4f , 6f, 84, 10?, 15?, 264.

9. Write the prime numbers to 97.

XXVIII.

1. Beduce these improper fractions to whole or mixed numbers: y>, y, y, V, f?> V-

2. v. v. v. v. v.v-

3. y, y, v, v. f8, y.

4. v, y, y, v. y, y.

FIFTH GRADE EXERCISES.

107

(Illustrate with parts of disks.)

(Examples in Lessons XXV., XXVI., XXVII., and XXVIII. are intended not only for seat work, but should be worked orally in class at least four times during Fifth Grade year.}

XXIX.

1. I of 20; | of 30; 4 of 35; f of 24; f of 21.

2. 8 is I of what number? 15 is f of what number?

20 is § of what number?

Model.

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.