Standard Form and Scientific Notation

Multiple Choice

BELL-RINGER QUESTION

A hot-air balloon is released at ground level, and it rises into the air at a constant rate.  After 5 seconds the height of the balloon is 20 feet.  The ballon continues to rise at the same rate.  Which table shows the relationship between the time in seconds, x, and the height of the balloon in feet, y?

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INDEPENDENT PRACTICE

1. Convert the following number from standard form into scientific notation.

$$6,120,000$$

Type answer here

Correct Answer: 6.12\times10^6

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INDEPENDENT PRACTICE

2. Convert the following number from standard form into scientific notation.

$$0.00000463$$

Type answer here

Correct Answer: 4.63\times10^{-6}

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INDEPENDENT PRACTICE

3. Convert the following number from standard form into scientific notation.

$$7,004$$

Type answer here

Correct Answer: 7.004\times10^3

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INDEPENDENT PRACTICE

4. Convert the following number from scientific notation into standard form.

$$6.75\times10^{-4}$$

Type answer here

Correct Answer: 0.000675

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INDEPENDENT PRACTICE

5. Convert the following number from scientific notation into standard form.

$$4.08\times10^3$$

Type answer here

Correct Answer: 4080

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INDEPENDENT PRACTICE

6. Convert the following number from scientific notation into standard form.

$$8.92\times10^{-9}$$

Type answer here

Correct Answer: 0.00000000892

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PARTNER PRACTICE

7. The volume of a drop of oil is 0.00002 liter.  Find and write the volume of 8 drops of the oil in scientific notation.

Type answer here

Correct Answer: 1.6\times10^{-4}

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PARTNER PRACTICE

8. The Earth is 92,957,100 miles from the Sun and Mercury is 35,983,610 miles from the Sun.  About how much further is Earth from Mercury? Write answer in scientific notation.

Type answer here

Correct Answer: 5.697349\times10^7

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PARTNER PRACTICE

9. The length of a rectangle is 1.6 x 10³ meters.  The width of the rectangle is 2.52 x 10² meters.  Find the perimeter of the rectangle in scientific notation.

Type answer here

Correct Answer: 3.704\times10^3

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PARTNER PRACTICE

10. Central Park in NYC is rectangular in shape and measures about 1.37 x 10⁴ feet by 2.64 x 10² feet.  If one acre is equal to 4.356 x 10⁴ square feet, how many acres does Central Park cover?  Round to the nearest hundredth.

Type answer here

Correct Answer: 83.03

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Multiple Choice

PARTNER PRACTICE

11. The density of oxygen is 0.001429 grams per cubic centimeter.  How is this number written in scientific notation?

• 1.429 x 10³

• 1.429 x 10²

• 1.429 x 10^-3

• 1.429 x 10^-2

Multiple Choice

PARTNER PRACTICE

12. The volume of salt water on Earth’s surface is approximately 350,000,000,000,000,000,000 gallons.  How is this number written in scientific notation?

• 3.5 x 10¹⁶

• 3.5 x 10²⁰

• 35 x 10¹⁶

• 35 x 10²⁰

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EXIT TICKET 02/14 - TEK 8.2C

There are a total of 463,100 books in a library.  What is the value of the exponent when this number is expressed in scientific notation?

Type answer here

Correct Answer: 5

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