Estimating Very Large and Small Numbers

Large

100

Estimate the quantity of 2,549,786.

What is 3 x 10⁶ 

200

Estimate the value of 43,785

What is 4 x 10⁴

300

Estimate the value of 4,762,100,000

What is 5 x 10⁹

400

Estimate the value of 866,214,000,000

What is 9 x 10¹¹

500

Express the value of 4,149,000,000

What is 4 x 10⁹

Small

100

Estimate the quantity of 0.00002468

What is 2 x 10^-5

200

Estimate 0.03785492

What is 4 x10^-2

300

Estimate the value of 0.00000025691.

What is 3 x 10^-7

400

Estimate 0.000000298

What is 3 x 10^-7

500

If you wrote the estimate of 0.0009763, would the exponent positive or negative? Why?

What is Negative because the original number is less than 1.

How Much Greater

100

The Earth's circumference is 4 x 10⁴ km. Saturn's circumference is 365,882 km. How many times greater is the circumference of Saturn than the Earth?

What is 10 times greater

200

How many times greater is 6 x 10^-6 than 2 x 10^-8 ?

What is 300 times greater.

300

How many times greater is 8 x 10^-5 than 0.000004?

What is 20 times greater

400

City A's population is 2.6 x 10⁵. City B's is 1,560,000. City C's is twice the population of City B. How many times greater is City C from City A?

What is 12 times greater

500

A human heart beats 1,533,000 times a year. A hummingbirds heart beats 241,776,000 times a year. How many more times does a hummingbird heart beat than a human heart?

What is 3 times