Web Analytics
Answered

A mustard seed has a mass of about 0.002. A glass jair contains about 4.3602 x 10 ^ 4 seeds. Which is a reasonable estimate of the mass of the mustard seeds in the jar?
a.(2 x 10 ^-3) x(4 x 10 ^4)= 8 x 10 ^7
b.(2 x 10 ^-3) x (4 x 10 ^4)=8 x 10 ^1
c. (2 x 10 ^-2) x ( 4 x 10 ^4)=8 x 10 ^6
d. (2 x 10 ^-2) x (4 x 10 ^4= 8 x 10^2

Verified Answer :

TaeKwonDoIsDead

Answer:

B


Step-by-step explanation:

The mass of a single seed can be written as \(0.002=2*10^{-3}\)

There are total of \(4.3602*10^{4}\) seeds in the jar

Total mass is the multiplication of these both numbers.

Since we want an estimate, we can use 4 instead of 4.3602 in the 2nd number.


The rule to multiply two numbers in scientific notation is:

\((a*10^{b})*(c*10^{d})=(a*c)*10^{b+d}\)

So using this formula we multiply the 2 numbers and get answer as follows:

\((a*10^{b})*(c*10^{d})=(a*c)*10^{b+d}\\(2*10^{-3})*(4*10^{4})=(2*4)*10^{-3+4}\\=8*10^1\)

Answer choice B is right.

fichoh

A reasonable estimate for the mass of mustard seed in the jar is the product of the mass per seed and the number of seeds in the jar which can be estimated as \((2 \times 10^{-3}) \times (4 \times 10^{4}) = 8 \times 10^{1}\)

  • Mass per seed = 0.002
  • Number of seeds = \(4.3602 \times 10^{4}\)

0.002 = 2 × 0.001 = \(2 \times 10^{-3}\)

The Number of seed can be estimated to the nearest whole number as :

\(4.3602 \times 10^{4} = 4 \times 10^{4}\)

Multiplying the estimates :

\((2 \times 10^{-3}) \times (4 \times 10^{4}) = (2 \times 4) \times 10^{-3 + 4} = 8 \times 10^{1}\)

Therefore, a reasonable estimate is the option B.

Learn more : https://brainly.com/question/18723418

Related Questions