Scientific Notation Warmup

If the exponent on the power of 10 is a positive number...

• you will get a large number that is greater than 1

• you will get a smaller number that is less than 1

Answer explanation

When the exponent on the power of 10 is a positive number, the result will be a large number greater than 1, as the power of 10 increases the value grows exponentially.

Tags

CCSS.8.EE.A.3

If the exponent on the power of 10 is a negative number...

• you will get a large number that is greater than 1

• you will get a smaller number that is less than 1

Answer explanation

The correct answer is that you will get a smaller number that is less than 1 when the exponent on the power of 10 is a negative number.

Tags

CCSS.8.EE.A.3

Which of these numbers is the smallest?

• 3.5 x10⁷

• 3 x10⁸

• 5 x10⁷

• 5.5 x10⁶

Answer explanation

The smallest number is 5.5 x 10^6 because it has the smallest exponent value (6) compared to the other numbers.

Tags

CCSS.8.EE.A.3

Which of these numbers is the greatest?

• 9 x 10⁹

• 8.1 x10¹⁰

• 9.02 x10⁹

• 6.35 x10¹⁰

Answer explanation

The greatest number is 8.1 x 10^10 because it has the highest power of 10 among the given choices.

Tags

CCSS.8.EE.A.3

How is the following number written in scientific notation?

450,000

• 4.5  x  10⁵

• 45  x  10⁵

• 4.5  x  10⁴

• 4.5  x  10⁶

Answer explanation

The number 450,000 in scientific notation is 4.5 x 10^5, which is the correct answer choice provided.

Tags

CCSS.8.EE.A.3

How is the number below written in scientific notation?

0.000398

• 39.8  x  10^-5

• 3.98  x  10^-5

• 3.98  x  10^-4

• 39.8  x  10^-6

Answer explanation

To write 0.000398 in scientific notation, move the decimal point to the right until there is only one non-zero digit to the left. This gives 3.98 x 10^-4.