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Decimals and Place Value: Understanding Numbers with Decimal Points

Learn about decimals and place value with this educational resource. Understand the concept of decimals, the value of digits, comparing and ordering decimals, and converting fractions to decimals.

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Decimals and Place Value: Understanding Numbers with Decimal Points

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  1. www.makemegenius.com– Full of ingredients to make your child a genius. “Don’t make me read, make me understand “

  2. Decimals(Concepts & Computation)

  3. Number Sense • Whole number; number of people attending an event (305) • Decimal; number of gallons of gasoline (3.65) • Ratio; number of men compared to number of women (2:5) • Fraction; measurement of diameter (¾) • Percent; discount rate, interest rate (14.5%)

  4. Decimals and Place Value • A decimal is a number with a decimal point in it (6.52, 0.5, 0.01) • The value of digits in a decimal is based on the number 10 • The digits to the left of the decimal point represent whole number • The numbers to the right of the decimal point represent some part of 1

  5. Exercise • In what place is the underlined digit? 4.068 64.183 4.1065.832 5.134 • What number does the underlined name? 5.839 24.935 328.407 840.019 247.893 • Circle the number in which the 3 has the greater value. 73.249 856.634 1,420.038 52.243 78.329 865.463 1,240.308 49.321

  6. Thousandths • 2 1 6 4. 5 7 8 • 2; thousands • 1; hundreds • 6; tens • 4; ones • 5; tenths • 7; hundredths • 8; thousandths

  7. Exercise • Write the decimals. • 609 89 3 5 125 • ------ 4 ----- 86 ----- --- 2 ----- • 1000 1000 1000 10 1000 • Fifty-two thousandths • Four and four thousandths • Eight thousandths • One hundred fifty-nine and twelve hundredths

  8. Comparing and Ordering Decimals • Compare the decimals 0.27 and 0.25 • Compare number of ones (0 = 0) • Compare number of tenths (2 = 2) • Compare number of hundredths (7 > 5)

  9. Exercise • Write <, =, or >. 0.45 0.045 0.25 0.250 0.31 0.310 0.9 0.09 0.07 0.70 0.6 0.600 0.66 0.6 0.503 0.53 0.129 0.12 • Write in order from the least to the greatest 4.4 ; 4.7 ; 4.38 0.63 ; 0.6 ; 0.3 5.01 ; 4.98 ; 5 17.182 ; 1.728 ; 17.218

  10. Changing Fraction to Decimal • You can change a fraction to a decimal by dividing the numerator by the denominator • Numerator; the top part of a fraction • Denominator; the bottom part of a fraction • When you divide until the remainder is zero, the decimal is a terminating decimal

  11. Exercise • Change each fraction to a decimal. • 18 3 9 7 9 • --- --- --- --- --- • 25 40 8 32 20 • Write each decimal as a mixed number or fraction in simplest form • 0.65 0.225 0.006 1.4 0.625

  12. Thanks Submitted by Anish DAV Public School Noida

  13. If you also want to share your own or your kid’s presentation(ppt) please send it on info@makemegenius.com

  14. www.makemegenius.com– Full of ingredients to make your child a genius. “Don’t make me read, make me understand “

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