The document discusses divisibility rules for determining if a number is divisible by other numbers without a remainder. It provides rules for divisibility by 2, 3, 5, 6, 8, 9, 10 and explains why you cannot divide by 0. Key rules include: a number is divisible by 2 if the last digit is even; by 3 if the sum of the digits is divisible by 3; by 5 if the last digit is 0 or 5; and by 10 if the last digit is 0. It also provides examples of applying the rules.
This tutorial provides fundamental concepts such as:
- Absolute Values
- Basic Operations with Signed Numbers
- PEMDAS rule
in order to properly handle simplification of mathematical expressions.
let us revise - 3 digit numbers- number name , place value,expanded form, numbers on abacus ,comparing numbers, ascending and descending order, even and odd numbers , cardinal and ordinal numbers , addition, subtraction , multiplication and division.
This tutorial provides fundamental concepts such as:
- Absolute Values
- Basic Operations with Signed Numbers
- PEMDAS rule
in order to properly handle simplification of mathematical expressions.
let us revise - 3 digit numbers- number name , place value,expanded form, numbers on abacus ,comparing numbers, ascending and descending order, even and odd numbers , cardinal and ordinal numbers , addition, subtraction , multiplication and division.
Tips to prepare for Fundamentals of Quantitative Aptitude
Number Properties
LCM, HCF
Divisibility
Fractions & Decimals,
square
Square Roots
cyclicity
with shortcut tricks
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• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
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2. “Divisible by” means…
If you divide one number by
another, the result is a whole
number WITHOUT a remainder.
Examples:
12 6 = 2
No remainder, so 12 is divisible by 6.
15 5 = 3
No remainder, so 15 is divisible by 3.
3. “Divisible by” means…
Another way of saying this is that every
whole number is divisible by its factors.
Ex. The factors of 12 are 1, 2, 3, 4, 6, 12
Every number is divisible by itself and by
1, but most numbers are also divisible by
other factors.
13. Regrouping to show
Divisibility
One way to help
show divisibility is to
regroup the number
using place value
charts.
This sometimes
makes it clear
whether the number
is divisible.
Ex. 1240 =
124 tens + 0 ones
Ex. 52 255 =
52 thousands + 2
hundreds + 5 tens
+ 5 ones
24. Divisibility Rules Review
2, the last digit will be an even number
3, all the digits will add to 3,6 or 9
4, the number made by the last two digits
can be divided by 4
5, the last digit will be a 5 or 0
25. Divisibility Rules Review
6, the last digit will be even and the digits
will add to 3, 6 or 9
8, the number made by the last three
digits will be divisible by 8
26. Divisibility Rules Review
9, the sum of the digits will be 9
10, the last digit will be a 0
There is no easy test for 7, although some
methods have been invented, however it
is easier to use a pencil and paper
method.
27. Divisibility Rules
Apply divisibility rules to these numbers:
a) 74,673,042
b) 444,555,448
c) 61,616,168
d) 732,510
e) 66,666,666
f) 179,131,590
29. Why can’t you divide by zero?
12 ÷ 4 = 3
4 x 3 = 12
12 ÷ 0 = ?
? x 0 = 12
30. Why can’t you divide by zero?
Or, another way to
think of it:
12 ÷ 4 = 3 means
12 divided into
groups of 4 gives 3
groups of 4.
12 ÷ 0 = ? Means
12 divided into ?
groups of 0.
