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3.6 Clearing Equations of Decimals

3.6 Clearing Equations of Decimals. Trick: If you see decimals in an equation you can……. Multiply every term in the equation by 10,100, or 1,000 depending on the highest decimal place in the equation. Review on Decimals. Tens spot 1 . 3 Hundredths spot 1.3 4 Thousandths spot 1.34 5

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3.6 Clearing Equations of Decimals

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  1. 3.6 Clearing Equations of Decimals

  2. Trick: If you see decimals in an equation you can……. • Multiply every term in the equation by 10,100, or 1,000 depending on the highest decimal place in the equation.

  3. Review on Decimals • Tens spot 1.3 • Hundredths spot 1.34 • Thousandths spot 1.345 • Ten thousandths spot 1.3456 And so on!

  4. Key: Remember to multiply every term by the same number!!! • Tens spot (1 decimal place) • Hundredths spot (2 decimal places) • Thousandths spot (3 decimal places) • Multiply by 10 • Multiply by 100 • Multiply by 1000

  5. Steps • Clear the decimals by multiplying by 10,100, 1000, etc • Simplify by moving the decimal place over • Distribute • Collect like terms • Move the variables to one side of equation (APE) • Move constants to the other side (APE) • Solve for x (MPE)

  6. 1.) 7t +8 -6.92t=0.4t-0.32+8 (100) 7t + (100) 8-(100)6.92t = (100)0.4t –(100)0.32 + (100)8 700t + 800 - 692t = 40t -32 + 800 8t +800 = 40t +768 -40t -40t -32t + 800 = 768 -800 -800 -32t = -32 -32 -32 t = 1

  7. 2.) 26.45 = 4.2x +1.25 • X=6

  8. 3.) 0.5r + 1.5 =3.0 • R=3

  9. 4.) 0.8a+0.2=0.4a+0.7 A=5/4

  10. Homework Page 140 (19-24) all Show all your work

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