Decimals (Concepts & Computation)

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# Decimals (Concepts & Computation) - PowerPoint PPT Presentation

Decimals (Concepts &amp; 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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### 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)
• Percent; discount rate, interest rate (14.5%)
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
• 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
• 2 1 6 4. 5 7 8
• 2; thousands
• 1; hundreds
• 6; tens
• 4; ones
• 5; tenths
• 7; hundredths
• 8; thousandths
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
• 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)
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
• 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
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