Solving Equations by Multiplying or Dividing Decimals

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Presentation transcript:

Solving Equations by Multiplying or Dividing Decimals Lesson 3-6 Additional Examples Solve –6.4 = 0.8b. –6.4 = 0.8b –6.4 0.8 0.8b = Divide each side by 0.8. –8 = b Simplify. Check: –6.4 = 0.8b –6.4 0.8(–8) Replace b with –8. –6.4 = –6.4

Solving Equations by Multiplying or Dividing Decimals Lesson 3-6 Additional Examples Every day the school cafeteria uses about 85.8 gallons of milk. About how many days will it take for the cafeteria to use the 250 gallons in the refrigerator? Let x = number of days. number of days Words times is 250 gallons daily milk consumption Equation • = 85.8 x 250

Solving Equations by Multiplying or Dividing Decimals Lesson 3-6 Additional Examples (continued) 85.8x = 250 85.8x 85.8 = 250 Divide each side by 85.8. x = 2.914 . . . Simplify. x 3 Round to the nearest whole number. The school will take about 3 days to use 250 gallons of milk.

Solving Equations by Multiplying or Dividing Decimals Lesson 3-6 Additional Examples c –1.2 Solve –37.5 = . –37.5 = c –1.2 Multiply each side by –1.2. –37.5(–1.2) = (–1.2) c –1.2 45 = c Simplify.

Solving Equations by Multiplying or Dividing Decimals Lesson 3-6 Additional Examples A little league player was at bat 15 times and had a batting average of 0.133 rounded to the nearest thousandth. The batting average formula is batting average (a) = . Use the formula to find the number of hits made. hits (h) times at bat (n) a = h n 0.133 = h 15 Replace a with 0.133 and n with 15.

Solving Equations by Multiplying or Dividing Decimals Lesson 3-6 Additional Examples (continued) 0.133(15) = (15) h 15 Multiply each side by 15. Simplify. 1.995 = h 2 h Since h (hits) represents an integer, round to the nearest integer. The little league player made 2 hits.