The Math of Science

Which numbers are correctly written in scientific notation? (Select all that apply)

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Write 9345 in scientific notation (do not round)

Mathematical Equivalence

OFF

Write 0.000054 in scientific notation (do not round)

Mathematical Equivalence

OFF

Light travels at a rate of 186,000 miles per second.  Write this number in scientific notation.

• 1.86 x 10⁵

• 1.86 x 10⁴

• 18.6 x 10⁴

• 186 x 10³

Answer explanation

To write 186,000 in scientific notation, move the decimal point to the left until there is only one non-zero digit to the left. This gives 1.86 x 10^5.

Write this number in standard form:  7.7 x 10⁹

• 7,700,000,000

• 7,700,000

• 7,000,000.000

• 70,000,000,000

Answer explanation

To write 7.7 x 10^9 in standard form, move the decimal point 9 places to the right, resulting in 7,700,000,000.

Express the following in scientific notation:
10,030,400,000

• 1.00304 x 10⁹
• 1.00304 x 10¹⁰
• 1.00403 x 10¹⁰
• 1.00304 x10^-10

Write the number 0.007 in scientific notation.

What is the number:
4.27 x 10³

• .00427
• 4270
• 427
• 4.27

Convert the following number to scientific notation: 0.00056

• 5.6 x 10^-4

• 5.6 x 10^-3

• 5.6 x 10^-5

• 5.6 x 10^-6

Write this number in standard form:  5.6 x 10⁷

• 56,000,000

• 5,600,000

• 560,000

• 5,600,000,000