Improper fractions

Question 1

proper fractions

Answer 1

numerators < denominator

Question 2

improper fractions

Answer 2

numerators > denominator

Question 3

mixed numbers

Answer 3

whole numbers followed by a proper fraction e.g. (2 1/3)

Question 4

converting improper fraction to mixed numbers

Answer 4

improper-7/2 –> (mixed)-(3 1/2)

Question 5

convert mixed numbers to improper fraction

Answer 5

mixed (6 2/3)– improper (20/3)

Question 6

least common denominator

Answer 6

common multiple of all the denominators

Question 7

adding/subtracitng with unlike denominator

Answer 7

express fractions with same denominator by identifying the least common denominator

Question 8

improper fractions to mixed numbers

Answer 8

eg 9/2= 4+1/2=4 1/2

Question 9

proper fraction to mixed numbers

Answer 9

eg 2/3= not possible

Question 10

complex fractions

Question 11

size comparison of fractions-common denominator

Answer 11

larger the numerator, the larger the fraction, keeping the denominator constant

Question 12

size comparison of fractions- common numerator

Answer 12

larger the denominator, the smaller the fraction

Question 13

size fractions- adding a positive constant to num and deno

Answer 13

I) 0<a/b<1, and k-positive non zero constant, then (a+k)/(b+k)~1, then a/b<(a+k)/(b+k)
II) a/b>1 and k-positive non zero constant, then (a+k)/(b+k)~1, then a/b>(a+k)/(b+k)

Question 14

size fractions- subtracting a positive constant to num and deno

Answer 14

I) 0<a/b<1, and k-positive non-zero constant, then
(a-k)/(b-k) = farther from 1, then a/b>(a-k)/(b-k)
II) a/b>1 and k-positive non-zero constant, then
(a-k)/(b-k) is farther than 1, then a/b<(a-k)/(b-k)

Question 15

size comparison-decimals

Answer 15

compare numbers place by place, starting from tenths

Question 16

converting decimal to per cent

Answer 16

multiply decimal by 100 or move the decimel to two places toward right

Question 17

converting per cent to decimal

Answer 17

drop the percent sign & move the decimal to two places in the left

Question 18

base fraction

Answer 18

it has numerator equal to 1 and every other fraction with the same denominator will be a multiple of this base fraction

Question 19

base fraction

Answer 19

when solution involves complex multiplication of decimals, convert them into their respective fractions

Question 20

principle square root

Answer 20

non negative square root value of the number

Question 21

square and square root of nu b/w o and 1

Answer 21

if 0<x<1, then x2<x<sqrt(x)

Question 22

square

Answer 22

when the number b/w o to 1 is squared, its value decreases in comparison to the original number

Question 23

square value of larger numbers

Answer 23

determine the square of unique unit digits of the original number and find the unit digit and thus unit digit of final square value will also be same

Question 24

which are perfect numbers

Answer 24

perfect square- unit digit will be 0,1,4,5,6,9
not perfect square-unit digit will be 2,3,7,8

Question 25

time saving multiplication technique

Answer 25

find pairs of numbers whose product is a power of
10