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Decimals (Concepts & Computation)

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Decimals (Concepts & Computation). Nov. 30. 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)

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Presentation Transcript
number sense
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%)
decimals and place value
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
exercise
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

thousandths
Thousandths
  • 2 1 6 4. 5 7 8
    • 2; thousands
    • 1; hundreds
    • 6; tens
    • 4; ones
    • 5; tenths
    • 7; hundredths
    • 8; thousandths
exercise6
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
comparing and ordering decimals
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)
exercise8
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

changing fraction to decimal
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
exercise10
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
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