Chapter 1- Learning Outcome 2_Mathematics for Technologists

Chapter 1- Learning Outcome 2_Mathematics for Technologists

1. 21
st
Century Mathematics for
the Industrial Technology
Learners: Automotive
Technology
BABY 'RLENE I. BAYOC

2. The Numeral System, and
the Real Number
Chapter
I
21
st
Century Mathematics for the Industrial Technology Learners: Automotive Technology

3. CHAPTER
 I: The Numeral System and the Real Number
Learning
Outcome 2:
performed arithmetic with the
decimal system; and

4. The decimal system is based on the number 10. The
value of a digit depends on its position. A number with
one or more digits beyond the unit’s place is called a
decimal fraction or simply decimals. The integer digits
and decimal digits are separated by a decimal point.
CHAPTER
 I: The Numeral System and the Real Number

5. CHAPTER
 I: The Numeral System and the Real Number
Positional Values in the Decimal Systems.

6. To read a decimal is by reading the left part of the decimal point
normally and the decimal point is read as “and”. Then read the digits to
the right of the decimal point and add the place value of the last digit.
Let us read 9876543210.123456789, nine billion eight hundred seventy-
six million five hundred forty-three thousand two hundred ten and one
hundred twenty-three million four hundred fifty-six thousand seven
hundred eighty-nine billionths.

7. To add decimals is by aligning vertically the decimal point, then the addition
is carried out like in real numbers but with decimal point in the same position. You
may add trailing zero/s.

8. To add decimals is by aligning vertically the decimal point, then the addition is
carried out like in real numbers but with decimal point in the same position. You may add
trailing zero/s.
CHAPTER
 I: The Numeral System and the Real Number

9. To subtract decimals, as in addition, write one number above the other with the
decimal points aligned. Then subtract and place the decimal point between the units and
the tenths.
CHAPTER
 I: The Numeral System and the Real Number

10. To multiply decimals is to ignore the decimal point and perform multiplication as if the numbers were integers. Then insert the decimal
point in the product so that the number of decimal places is equal to the sum of the number of decimal places in the factors.
CHAPTER
 I: The Numeral System and the Real Number

11. To divide decimals, make sure that the divisor is a whole number by multiplying
it by a desired factor then multiply the same factor to the dividend. Then divide by long
division, placing a decimal point just above the decimal point in the dividend.
CHAPTER
 I: The Numeral System and the Real Number

12. In rounding off decimals, the following rules are to be observed and applied:
Rule 1. If the first of the digit to be dropped is less than 5, then the last retained digit is unchanged.
Example, 0.564 = 0.56.
Rule 2. If the first of the digit to be dropped is greater than or equal to 5, then the last retained digit is
increased by 1.
Example, 0.565 = 0.57 and 0.568 = 0.57
Relationships of the place value (position) in decimals.
The tenths digit is greater than the hundredths digit. Also, the hundredths digit is greater
than the thousandths digit and so on. For example, 0.2 > 0.02 and 0.02 > 0.002 and so on.
CHAPTER
 I: The Numeral System and the Real Number

13. https://en.wikipedia.org/wiki/Decimal
https://themathpage.com/Arith/decimals-2.htm
https://www.brainfuse.com/jsp/alc/resource.jsp?s=gre&c=35180&cc=108480
https://www.mathsisfun.com/rounding-numbers.html
https://www.varsitytutors.com/hotmath/hotmath_help/topics/operations-with-decimals
CHAPTER
 I: The Numeral System and the Real Number
REFERENCES

14. Thank you
CHAPTER
 I: The Numeral System and the Real Number