Decimal Shortcut

Question 1

1/2

Answer 1

0.5

Question 2

1/4

Answer 2

0.25

Question 3

3/4

Answer 3

0.75

Question 4

1/3

Answer 4

0.3333

Question 5

2./3

Answer 5

0.666

Question 6

4/3

Answer 6

1.3333

Question 7

1/5, 2/5,3/5,4/5

Answer 7

0.2,0.4,0.6,0.8

Question 8

1/6

Answer 8

0.16666

Question 9

5/6

Answer 9

0.83333

Question 10

1/8

Answer 10

0.125

Question 11

3/8,5/8

Answer 11

0.375,0.625

Question 12

1/9,7/9

Answer 12

0.1111, 0.77777

Question 13

Distance of x from origin

Answer 13

Absolute of x |x|

Question 14

Distance of x from a number n

Answer 14

|x-n|.
Eg distance of 7 from 5 -> |7-5| =2
Distance of 7 from -5 -> |7+5| =12

Question 15

Problem if
|x-1| =4 value of x?

Answer 15

The answer could be 4 units from the integer 1.
It could be both positive and negative
Hence, the answers are
1-4 = -3 and 1+4 = 5

Question 16

Comparing fractions

Answer 16

If the denominator is the same, the fraction with greater numerator has greater value
If the numerator is the same, the fraction with the lower denominator will have greater value.
If the numerator gets bigger and denominator is smaller then that fraction is greater value eg 3/8 < 4/7

Question 17

Comparing Fractions Hack

Answer 17

7/11 ? 5/8 this cannot be solved using tricks
Now using cross multiplication
78 ? 511
56 ? 55
56 > 55
Hence
7/11 > 5/8

Question 18

When a numerator and denominator is added with same number, the number will move towards one

Answer 18

Eg 3/5 + 6/6 = 9/11
3/5 = 0.6
9/11 = 0.8
When numerator is lesser than denominator

Also,
7/4 + 1/1 = 8/5
7/4 = 1.7
8/5 = 1.6
This is when numerator is greater than denominator

Question 19

Adding p to the numerator and q to the denominator

Answer 19

The fraction slides in the direction of p/q

If the original fraction is lesser than p/q, the result in a greater
If the original fraction is greater than p/q, the result is smaller