Question

Estimate how many times larger 6.1 x 1

07

is than 2.1 x 1

0−4

.


Estimate how many times larger 1.9 x 1

0−8

is than 4.2 x 1

0−13
i need help.
.

Answer 1

1) 4
2) 2

Pretty sure thats right

Answer 2

The estimated number of times each would be larger is 10²⁰ and 100,000 times respectively.

1.)

We can rewrite the numbers thus :

• Numerator =
  `6.1 * 10^(7)`
• Denominator =
  `2.1 * 10^(-4) =`

Using the exponent, the number of the times the Numerator would be larger than the denominator is :

7 -(-13)

7 + 13 = 20

Hence, it will be about 10²⁰ times larger

Hence, it will be about 10⁵ = 100000 times larger

2.)

• Numerator =
  `1.9 * 10^(-8)`
• Denominator =
  `4.2 * 10^(-13)`

Using the exponent, the number of the times the Numerator would be larger than the denominator is :

• -8 -(-13) = 5

Hence, it will be about 10⁵ = 100000 times larger