Scientific Notation and Standard Form

which number is larger: 4.5 x 10³ or 4.537 x 10³

• 4.537 x 10³

• 4.5 x 10³

• They are the same size

What is 2 ten thousandths in scientific notation?

• 2 x 10^-4

• ²/₁₀₀₀₀

• 2 x 10⁴

• .2

Write the standard number 6,267,000 in scientific notation.

• 62.67 x 10⁶

• 6.267 x 10⁶

• 6.267 x 10⁴

• 6.267 x 10⁷

How do you write 8.7 x 10^-1 in standard form?

• 0.87

• 8.7

• 87

• 0.087

Which of the following has the greatest value?

• 3.5 x 10⁴

• 2.1 x 10⁶

• 7.2 x 10⁷

• 9.9 x 10⁵

How do you write the standard number 0.00095 in scientific notation?

• 9.5 x 10^-3

• 9.5 x 10^-5

• 9.5 x 10^-4

• 9.5 x 10^-6

How many times larger is 5 x 10⁷ than 5 x 10²?

• 1 x 10⁶

• 1 x 10⁴

• 1 x 10⁵

• 1 x 10⁹

Lucy estimated that it would take 4,000 grains of sand to make a pound. That would mean that each grain of sand weighs 1/4000 of a pound. In decimal form, that weight would be 0.00025 of a pound. Express this in scientific notation?

• 2.5 × 10^–4 pounds

• 4 × 10^–3 pounds

• 2.5 × 10^–3 pounds

• 2.5 × 10^–5 pounds

Robert and Dora need to write 4,300,000,000 using scientific notation. Robert claims that 4,300,000,000 = 4.3 x 10⁸ and Dora claims that 4,300,000,000 = 4.3 x 10⁹. Whose number is correct and why?

• Robert’s number is correct because when converting 4,300,000,000, the decimal would be located between the 4 and the 3, and the original decimal point in the standard form moves to the left 8 places.

• Robert’s number is correct because when converting 4,300,000,000, the decimal would be located between the 4 and the 3, and the power of 10 is determined by the number of zeros.

• Dora’s number is correct because when converting 4,300,000,000, the decimal would be located between the 4 and the 3, and the original decimal point in the standard form moves to the left 9 places.

• Dora’s number is correct because when converting 4,300,000,000, the decimal would be located between the 4 and the 3, and the power of 10 is always the number of zeros plus 1.

A researcher measured approximately 0.005123 grams of bacteria in a sample. How is this number expressed in scientific notation?

• 5.123 × 10³ grams

• 5123 × 10^–6 grams

• 0.5123 × 10^–2 grams

• 5.123 × 10^–3 grams