Page 10 - Math_Genius_V1.0_C7_Flipbook
P. 10
E:\Working\Focus_Learning\Math_Genius-7_(12-11-2024)\Open_File\01_Chapter\01_Chapter
\ 15-Nov-2024 Surender Prajapati Proof-6 Reader’s Sign _______________________ Date __________
1. Give any three numbers such that their sum is –10.
2. Which is greater: (–4) + 3 + (–6) or (–3) + 4 + (–6)?
3. Write a negative integer and a positive integer whose difference is –5.
4. Height of place A is 1850 m above sea level. Another place B is 910 m below sea level. What
is the difference between the levels of these two places?
5. Fill in the blanks to make the following statements true.
(a) (–7) + (–4) = (–4) + (..........) (b) 18 + .......... = 0
(c) [11 + (–9)] + 10 = 11 + [.......... + 10]
Integers
Ruhi: The record for the deepest scuba dive in underwater is at 332 metres approximately, set by
Ahmed Gabr and we can write it in an integer as –332 m.
In class 6, our math teacher taught us about the ‘Building of Fun’ and numbering of the floors of
the ‘Building of Fun’ into integers. And, how to perform addition and subtraction operations on
integers. Let’s recall what we have learnt about the integers in the previous class.
Integers are the collection of whole numbers and negative numbers which can be represented on
a number line as shown below.
–7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7
Negative Numbers Whole Numbers
Positive Integers
IntegeRs
The numbers 1, 2, 3, 4, 5, 6, ..., i.e., the natural numbers are called
positive integers. Negative Numbers Whole
(Negative Integers) Numbers
They can also be written as +1, +2, +3, ... but the ‘+’ sign is usually
Natural Numbers
not written. Zero (Positive Integers)
Positive integers = +1, +2, +3, ...
Negative Integers
Remember
Negative of natural numbers are called negative integers. That is –1, –2, Zero (0) is an integer
–3, –4, ... are negative integers. which is neither a positive
nor a negative integer.
Negative integers = –1, –2, –3, –4, ...
Absolute value of an Integer
The numerical value of any integer regardless of its sign is called the absolute value of the integer.
So, the absolute value of an integer is always positive. It is denoted by the modulus symbol, ‘| |’.
The absolute value of an integer a is denoted by |a|.
For example: (a) |3| = 3 (b) |–7| = 7
Mathematics-7 8
