Changing Numbers from Scientific Notation to Standard Form

Aim How do we write numbers written in scientific notation in standard form?

Warm up

Whole Group Questions

Changing numbers from scientific notation to standard form

• Move the decimal point as many places as the number used as the exponent.

• Positive Exponents: move the decimal point to the right so the number gets bigger.

• Negative Exponents: move the decimal point to the left so the number gets smaller.

1.According to CNN.com, 6.688223 × 107 people in the United States voted for Barack Obama in the 2008 Presidential Election. Convert this number to standard form to see how many people voted for Barack Obama according to CNN.

2.Convert2.45 × 105 to standard form.

3.The probability of flipping a coin and having it land on tails four times in a row is 6.25 × 10-2. Convert this number to standard form to see the actual probability.

4.Convert3.5 × 10-5 to standard form.

5.A failing company experienced a change of -8.42 × 106 dollars in their balance. Write a number to show how much money they gained or lost.

Group Work Questions

Write each number in standard form.

1.5.7053 × 1082.3.06 × 10-5

3.5.79 × 1094.-4.005 × 107

5.3.21 × 1066.1.08 × 10-3

7.5 × 10128.2 × 10-4

9.Explain how you wrote 3.21 × 106 in standard form.

10.Explain how you wrote 1.08 × 10-3in standard form.

Summary

1.When converting a number from scientific notation you move the decimal point to the right(creating a large number) if the exponent is ______.

a.positive b.negativec.zero

2.When converting a number from scientific notation you move the decimal point to the left(creating a decimal) if the exponent is ______.

a.positive b.negativec.zero

Homework

Write each number in standard form.

1.8.08 × 1062.4.2 × 10-5

3.3.21 × 10-24.7.4 × 107

5.-7 × 1096.2 × 10-4