Question

Estimate how many times larger 6.1 • 10^7 is than 2.1 • 10^-4

Answer 1

Estimation: 300 Billion times bigger

Actual: 290 Billion times bigger

Explanation:

Lets group the coefficients together and the exponents together.

`((6.1)/(2.1))((10^7)/(10^(-4) ))`

We can round 6.1 to 6.

We can round 2.1 to 2.

`((6)/(2))((10^7)/(10^(-4) ))`

`(3)((10^7)/(10^(-4) ))`

Subtract the exponent from the denominator from the exponent of the numerator.

`(3)(10^(7-4*1) )`

`(3)(10^(7+4) )`

`(3)(10^(11) )`

`3*10^(11)`

`10^(11)` is 100 billion.

3 times 100 billion is 300 billion.