Essential Math Skills for Chemistry Success

How do you convert the number 78 billion into scientific notation?

• 78 x 10^10

• 7.8 x 10^10

• 7.8 x 10^9

• 78 x 10^9

What is the scientific notation for the number 0.000752?

• 75.2 x 10^-5

• 0.752 x 10^-3

• 7.52 x 10^-4

• 7.52 x 10^4

When multiplying two numbers with exponents, what should you do with the exponents?

• Divide them

• Multiply them

• Subtract them

• Add them

What is the result of multiplying 3.5 x 10^6 by 2.5 x 10^-2?

• 8.75 x 10^4

• 8.75 x 10^6

• 8.75 x 10^3

• 8.75 x 10^5

Which of the following digits are always significant?

• Zeros between non-zero digits

• Non-zero digits

• Trailing zeros without a decimal

• Leading zeros

How many significant figures are in the number 680009?

• 3

• 5

• 6

• 4

When adding numbers with different decimal places, what determines the number of decimal places in the result?

• The sum of the decimal places

• The average number of decimal places

• The number with the least decimal places

• The number with the most decimal places

What is the result of subtracting 3.7 from 16.8724, considering significant figures?

• 13.2

• 13.17

• 13.1724

• 13.172

When dividing 36.0 by 4, how many significant figures should the result have?

• 4

• 3

• 2

• 1

What is the result of multiplying 36.0 by 1.7, considering significant figures?

• 61.21

• 61.205

• 61.20

• 61.2