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# Decimal numbers 2º

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### Decimal numbers 2º

1. 1. Decimals numbers
2. 2. Number Sense <ul><li>Whole number; number of people attending an event (305) </li></ul><ul><li>Decimal; number of gallons of gasoline (3.65) </li></ul><ul><li>Ratio; number of men compared to number of women (2:5) </li></ul><ul><li>Fraction; measurement of diameter (¾) </li></ul><ul><li>Percent; discount rate, interest rate (14.5%) </li></ul>
3. 3. Decimals and Place Value <ul><li>A decimal is a number with a decimal point in it (6.52, 0.5, 0.01) </li></ul><ul><li>The value of digits in a decimal is based on the number 10 </li></ul><ul><li>The digits to the left of the decimal point represent whole number </li></ul><ul><li>The numbers to the right of the decimal point represent some part of 1 </li></ul>
4. 4. Exercise <ul><li>In what place is the underlined digit? </li></ul><ul><li>4.0 6 8 6 4.183 4.10 6 5 .832 5.1 3 4 </li></ul><ul><li>What number does the underlined name? </li></ul><ul><li>5.8 3 9 24. 9 35 3 2 8.407 840.01 9 247.89 3 </li></ul><ul><li>Circle the number in which the 3 has the greater value. </li></ul><ul><li>73.249 856.634 1,420.038 52.243 </li></ul><ul><li>78.329 865.463 1,240.308 49.321 </li></ul>
5. 5. Thousandths <ul><li>2 1 6 4. 5 7 8 </li></ul><ul><ul><li>2; thousands </li></ul></ul><ul><ul><li>1; hundreds </li></ul></ul><ul><ul><li>6; tens </li></ul></ul><ul><ul><li>4; ones </li></ul></ul><ul><ul><li>5; tenths </li></ul></ul><ul><ul><li>7; hundredths </li></ul></ul><ul><ul><li>8; thousandths </li></ul></ul>
6. 6. Exercise <ul><li>Write the decimals. </li></ul><ul><li>609 89 3 5 125 </li></ul><ul><li>------ 4 ----- 86 ----- --- 2 ----- </li></ul><ul><li>1000 1000 1000 10 1000 </li></ul><ul><li>Fifty-two thousandths </li></ul><ul><li>Four and four thousandths </li></ul><ul><li>Eight thousandths </li></ul><ul><li>One hundred fifty-nine and twelve hundredths </li></ul>
7. 7. Comparing and Ordering Decimals <ul><li>Compare the decimals 0.27 and 0.25 </li></ul><ul><ul><li>Compare number of ones (0 = 0) </li></ul></ul><ul><ul><li>Compare number of tenths (2 = 2) </li></ul></ul><ul><ul><li>Compare number of hundredths (7 > 5) </li></ul></ul>
8. 8. Exercise <ul><li>Write <, =, or >. </li></ul><ul><li>0.45 0.045 0.25 0.250 0.31 0.310 </li></ul><ul><li>0.9 0.09 0.07 0.70 0.6 0.600 </li></ul><ul><li>0.66 0.6 0.503 0.53 0.129 0.12 </li></ul><ul><li>Write in order from the least to the greatest </li></ul><ul><li>4.4 ; 4.7 ; 4.38 </li></ul><ul><li>0.63 ; 0.6 ; 0.3 </li></ul><ul><li>5.01 ; 4.98 ; 5 </li></ul><ul><li>17.182 ; 1.728 ; 17.218 </li></ul>
9. 9. Changing Fraction to Decimal <ul><li>You can change a fraction to a decimal by dividing the numerator by the denominator </li></ul><ul><li>Numerator; the top part of a fraction </li></ul><ul><li>Denominator; the bottom part of a fraction </li></ul><ul><li>When you divide until the remainder is zero, the decimal is a terminating decimal </li></ul>
10. 10. Exercise <ul><li>Change each fraction to a decimal. </li></ul><ul><li>18 3 9 7 9 </li></ul><ul><li>--- --- --- --- --- </li></ul><ul><li>25 40 8 32 20 </li></ul><ul><li>Write each decimal as a mixed number or fraction in simplest form </li></ul><ul><li>0.65 0.225 0.006 1.4 0.625 </li></ul>