Page 257 - ICSE Math 6

Divisibility Tests
• A number is divisible by 2, if its ones place digit is an even number.
• A number is divisible by 3, if sum of its digits is a multiple of 3.
• A number is divisible by 4, if the number formed by its last two digits is divisible by 4.
• A number is divisible by 5, if its ones place digit is either 0 or 5.
• A number is divisible by 6, if it is divisible by both 2 and 3.
• A number is divisible by 8, if the number formed by its last three digits is divisible by 8.
• A number is divisible by 9, if sum of its digits is a multiple of 9.
• A number is divisible by 10, if its ones place digit is 0.
• A number is divisible by 11, if the difference between the sum of the digits at its
odd places, starting from right, and the sum of the digits at its even places is either
0 or a multiple of 11.

FRACTIONS

Types of Fractions Definition Example Comparison of Fractions
With smaller numerator than the 2
Proper fraction
denominator 9 If denominator is the same,
With larger numerator than the 12 then the fraction with smaller
Improper fraction numerator is smaller.
denominator 5
Consisting a whole and a proper 2
Mixed fraction 3
fraction 5 If numerator is the same,
2 4 then the fraction with smaller
Equivalent fractions Having the same value and denominator is greater.
7 14
2 12 1
Like fractions With the same denominator , and 1
7 7 7
,
Unlike fractions With the different denominators 5 12 and 11
7 13 8

DECIMALS

5 178
,
10 100

Decimal Fraction Unlike Decimals
Fractions having Decimals having
the denominator in different number of
powers of 10. decimal places.
13.56 12.05
and and
475.23 Like Decimals Equivalent Decimals 15.879
Decimals having Decimals having
an equal number of an equal number of
decimal places. decimal places.

73.06
and
73.060

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