Decimal and your Imagination. Decimal point

Decimal number contains a decimal point. We use decimals to write fractions as a single number. The decimal point shows where the fractional part of a number begins.

1. DECIMALS ADDITION AND SUBRACTIONS

2. DECIMALS INTRODUCTION Decimals are an essential part of mathematics and are used in many aspects of everyday life. For instance, in a voltmeter , decimals can be used to display voltage readings with greater precision. Voltmeters are instruments that are used to measure the voltage difference between two points in an electrical circuit. Also , decimals can be used in shielded metal arc welding to specify and control welding parameters, electrode diameter, and weld quality to achieve the desired results. A decimal is a number that consists of a whole and a fractional part. In this lesson, we will perform operations on decimals fluently and with understanding and be able to apply these operations to real-life situations.  

3. DECIMALS LEARNING OBJECTIVES At the end of the lesson, the students will be able to: 1.  D efine decimal numbers and identify their place values 2.  Compare decimals 3.  Perform the addition and subtraction of multi-digit decimals.

4. What is DECIMALS? We get decimals when we break a whole into smaller parts. A decimal number then has two components: a whole number part and a fractional part . The decimal place value system for the whole part of a decimal number is the same as the whole number value system.  

5. DECIMALS

6. DECIMALS COMPARING DECIMALS Which is larger? 0.8 or 0.60?  

7. DECIMALS COMPARING DECIMALS Which is larger? 0.8 or 0.60?   You can use models to see which decimal is greater.   The model for 0.60 has fewer hundredths shaded. So, 0.60 is less than 0.8 . Use the “<“ sign . 0.60 < 0.8 Take note that the value of the decimal is not changed by adding zero to the right of the decimal place.   Recall also that the symbol “>” means “is greater than” and the symbol “<” means “is less than”.  

8. DECIMALS Your Turn Use >, < or = to compare these decimals . 3.76 ___ 3.80 0.9 ___ 0.09 7.546 ___ 8.0546 3.076 ___ 3.76 10.78 ___ 10.780 < > = < <

9. DECIMALS ADDITION AND SUBTRACTION OF DECIMALS Decimals can be added and subtracted just like whole numbers. Let us study the examples below. Illustrative Examples A. Add: 0.005 + 9.684

10. DECIMALS Illustrative Examples B. Add: 2.6125 + 10.04

11. DECIMALS Illustrative Examples C . Subtract: 37.428 – 10.634

12. DECIMALS Illustrative Examples D. Subtract: 16.4831 – 3.121