Page 24 - Maths Skill - 6

22 Maths

When two integers represented on the number line, the number indicated to the right is greater than the other
integer.

ABSOLUTE VALUE OF AN INTEGER
The absolute value of an integer is its numerical value with no regard to its sign. The absolute value of an integer
is indicated by putting vertical lines, one on either side of the integer. So,
the absolute value of –7, i.e., | –7 | is 7;

the absolute value of 10, i.e., | 10 | is 10;
the absolute value of 0, i.e., | 0 | is 0 and so on.

CREDIT AND DEBIT CONCEPTS
Suppose you what to open a bank account in a local bank with the ` 2000 that you had been saving over the last
month. Your bank balance therefore starts at ` 2000.
and it you do the entry in your passbook this amount shows as credit amount.

or in simple way, if you deposit amount in your account that amount reffers to credit amount.
If you pay your mobile bill of ` 199 from your bank account. This is shown in your bank passbook as a ‘debit’.
The amount taken from your account is reffered as debit amount.

‘Credits’ as positive numbers and ‘debits’ as negative numbers. The total of all your credits (positive numbers)
and debits (negative numbers) is your total bank account balance. This can be positive or negative!

Let’s Attempt

Example 1: Write the opposites of the following:
(i) Increase in weight (ii) 5 km west (iii) 105 AD
(iv) Profit of ` 3000 (v) 200 m above sea level

Solution: (i) Decrease in weight (ii) 5 km east (iii) 105 BC
(iv) Loss of ` 3000 (v) 200 m below sea level

Example 2: Represent the following numbers as integers with appropriate signs.

(i) An aeroplane is flying at a height of seven thousand metres above the ground.
(ii) A submarine is moving at a depth of five hundred metres below the sea level.
(iii) A deposit of ten thousand rupees.

(iv) A withdrawal of eight hundred rupees.

Solution: (i) + 7,000 (ii) – 500 (iii) + 10,000 (iv) – 800
Example 3: Using the number line write the integer which is:

(i) 3 more than 5 (ii) 4 more than – 3 (iii) 5 less than 2 (iv) 2 less than – 1

Solution: (i) On the number line, we start from 5 and move 3 steps to the right and we reach at 8.

\ 3 more than 5 is 8.