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A number line can be defined as a straight line with numbers placed at equal intervals or
segments along its length. A number line can be extended infinitely in any direction and is
usually represented horizontally where 0 is the origin.
Absolute value is the distance of a number from zero.
The absolute value of a number is denoted by two bars “ | | “.
Distance is always positive.
Example:
Given that each interval of the number line is 1cm away from each other.
1. How far is – 5 from zero?
2. How far is 2 from zero?
3. How far is – 4 from zero?
4. How far is 4 from zero?
KEEP IN MIND!
o To find the absolute value of a positive number, just write the number itself.
o To find the absolute value of a negative number, just disregard the negative
sign or symbol and write the number.
o Opposite numbers have the same absolute value.
o When a negative sign is outside the absolute value symbol then the answer
will be negative.
1. |2| =
2. |24| =
3. |–10| =
4. |527| =
5. | – 893| =
6. – |17| =
7. – |–5| =
INTEGERS NOT INTEGERS
– 3 1.56
671 2
9
0 − 3
28
– 2930 – 7.345
Integers are positive and negative whole numbers including zero.
 To add integers with like signs or the same signs, add their absolute values and copy the
common signs.
 To add integers with unlike signs or different signs, subtract their absolute values and copy
the sign with the greater value.
Tune: Row, row, row your boat
Same signs add and keep
Different signs, subtract
Use the sign of the bigger number then you’ll be exact.
1. 1 + 3 =
2. – 3 + (– 6) =
3. – 10 + (– 28) =
4. 25 + 5 =
5. – 12 + (– 3) =
1. – 8 + 16 =
2. 10 + (– 15) =
3. – 20 + 6 =
4. – 83 + 42 =
– 7 + (– 8) =
– 13 + 25 =
6 + (– 7) =
19 + 6 =
– 22 + (– 28) =
– 23 + 8 + 2=
KEEP THE FIRST TERM
CHANGE MINUS TO PLUS
CHANGE THE SIGN TO ITS OPPOSITE SIGN
Then apply the RULES IN
ADDING INTEGERS.
Example:
– 4 – (10)
K C C
1. 16 – 20 =
2. 18 – (– 10) =
3. – 6 – (14) =
4. 73 – (–15) =
-15 – 14 = 47 – (-29) = -76 – (-52) = -65 + 84 = 15 + (-11) + (-8) =
Solution: Solution: Solution: Solution: Solution:
Angel’s checking account has a balance of PHP 16,330. After
withdrawing, an amount from her account, her balance is PHP 9,450.
How much did she withdraw?
1.2-Absolute-Value-Addition-and-Subtraction-of-Integers.pptx

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1.2-Absolute-Value-Addition-and-Subtraction-of-Integers.pptx

  • 1.
  • 2. A number line can be defined as a straight line with numbers placed at equal intervals or segments along its length. A number line can be extended infinitely in any direction and is usually represented horizontally where 0 is the origin.
  • 3. Absolute value is the distance of a number from zero. The absolute value of a number is denoted by two bars “ | | “. Distance is always positive. Example: Given that each interval of the number line is 1cm away from each other. 1. How far is – 5 from zero? 2. How far is 2 from zero? 3. How far is – 4 from zero? 4. How far is 4 from zero?
  • 4. KEEP IN MIND! o To find the absolute value of a positive number, just write the number itself. o To find the absolute value of a negative number, just disregard the negative sign or symbol and write the number. o Opposite numbers have the same absolute value. o When a negative sign is outside the absolute value symbol then the answer will be negative.
  • 5. 1. |2| = 2. |24| = 3. |–10| = 4. |527| = 5. | – 893| = 6. – |17| = 7. – |–5| =
  • 6.
  • 7. INTEGERS NOT INTEGERS – 3 1.56 671 2 9 0 − 3 28 – 2930 – 7.345 Integers are positive and negative whole numbers including zero.
  • 8.
  • 9.  To add integers with like signs or the same signs, add their absolute values and copy the common signs.  To add integers with unlike signs or different signs, subtract their absolute values and copy the sign with the greater value.
  • 10. Tune: Row, row, row your boat Same signs add and keep Different signs, subtract Use the sign of the bigger number then you’ll be exact.
  • 11. 1. 1 + 3 = 2. – 3 + (– 6) = 3. – 10 + (– 28) = 4. 25 + 5 = 5. – 12 + (– 3) =
  • 12. 1. – 8 + 16 = 2. 10 + (– 15) = 3. – 20 + 6 = 4. – 83 + 42 =
  • 13. – 7 + (– 8) = – 13 + 25 = 6 + (– 7) = 19 + 6 = – 22 + (– 28) = – 23 + 8 + 2=
  • 14.
  • 15. KEEP THE FIRST TERM CHANGE MINUS TO PLUS CHANGE THE SIGN TO ITS OPPOSITE SIGN Then apply the RULES IN ADDING INTEGERS. Example: – 4 – (10) K C C
  • 16. 1. 16 – 20 = 2. 18 – (– 10) = 3. – 6 – (14) = 4. 73 – (–15) =
  • 17. -15 – 14 = 47 – (-29) = -76 – (-52) = -65 + 84 = 15 + (-11) + (-8) = Solution: Solution: Solution: Solution: Solution:
  • 18. Angel’s checking account has a balance of PHP 16,330. After withdrawing, an amount from her account, her balance is PHP 9,450. How much did she withdraw?