Writing Scientific Notation

Writing Scientific Notation

Multiple Choice

Scientific Notation is used to represent

• Only really big numbers

• Only really small numbers

• Both really big and really small numbers

• Show size

Multiple Choice

When writing a number in scientific notation, the first number must be greater than 1 but less than 10.

• TRUE

• FALSE

Multiple Choice

When writing a number in scientific notation, the second number must be a power of base 10.

• TRUE

• FALSE

Scientific Notation

• The 1st number is always between 1 and 10

• The 2nd number has a base of 10 with an exponent.

• The exponent tells you how many places to move the decimal point.

Multiple Choice

Which of the following is in correct scientific notation?

• 20.35 x 10⁴

• 0.2035 x 10⁴

• 2,035 x 10³

• 2.035 x 10⁴

Multiple Choice

Which number is correctly written in scientific notation?

• 5.67 x 10⁵

• 56.7 x 10⁵

• 0.567 x 10⁵

• 567 x 10⁵

Large Numbers Have Positive Exponents

• When starting with a large number, move the decimal point to the left until you create a number between 1 and 10.

• Count how many times you moved the decimal point. This is your exponent.

• To convert scientific notation back to standard form, just move the decimal point to the right the same number as the exponent.

Multiple Choice

Convert to scientific notation: 520,000,000

• 52 x 10⁷

• 5.2 x 10⁸

• 5.2 x 10⁷

• 0.52 x 10⁹

Multiple Choice

Convert to scientific notation: 3,450,000

• 345 x 10⁶

• 34.5 x 10⁵

• 3.45 x 10⁶

• 3.45 x 10⁴

Multiple Choice

How would you write 4.376 x 10⁴ in standard form?

• 43,760,000

• 43,760

• 437,600

• 437,600,000

Fill in the Blanks

How would you write 6.52 x 10⁶ in standard form?

Small Numbers will have Negative Exponents

• When starting with a number less than 1, move to decimal point to the right until you create a number between 1 and 10.

• Count how many times you moved the decimal point. This number is your exponent.

• To convert scientific notation back to standard form, just move the decimal point to the left the same number as the exponent.

Multiple Choice

Convert to scientific notation: 0.0000345

• 345 x 10^-7

• 3.45 x 10^-5

• 3.45 x 10-4

• 345 x 10^-4

Multiple Choice

Convert to scientific notation: 0.0000065

• 65 x 10^-5

• 6.5 x 10^-5

• 65 x 10^-7

• 6.5 x 10^-6

Multiple Choice

How would you write 4.89 x 10^-5 in standard form?

• 489,000

• 0.00000489

• 0.0000489

• 0.0489

Fill in the Blanks

How would you write 9.84 x 10^-3 in standard form?

Multiple Choice

Convert to scientific notation: 520,000,000

• 52 x 10⁷

• 5.2 x 10⁸

• 5.2 x 10⁷

• 0.52 x 10⁹