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4 votes
Estimate how many times larger 1.9 • 10^-8 is than 4.2 • 10^-13

User Adarshr
by
6.9k points

2 Answers

5 votes
To compare the two numbers, we need to compare the ratio of 1.9 • 10^-8 to 4.2 • 10^-13.

The first number, 1.9 • 10^-8, can be written as 0.00000019.
The second number, 4.2 • 10^-13, can be written as 0.000000000000042.

We can see that 1.9 • 10^-8 is much larger than 4.2 • 10^-13, as it has more trailing zeros. We can estimate that 1.9 • 10^-8 is about 45 times larger than 4.2 • 10^-13.

We can confirm this by counting the difference in the number of trailing zeros in both numbers. 1.910^-8 has 8 trailing zeroes and 4.210^-13 has 13 trailing zeroes, meaning 1.910^-8 is 8-13= -5 orders of magnitude larger than 4.210^-13
User Avagut
by
7.5k points
6 votes

Answer:

Explanation:

a.
1.9·
10^(-8)=190000·
10^(-13)

b.so 190000÷4.2=4523

c.finally, about 4523 times

User Nick Robertson
by
6.6k points