Mathematics, 06.11.2020 03:00 sjsmith21

Express the numbers in scientific notation: 1. 75000
2. 0.0024
3. 75,000,000
4. 0.0000024

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Answer from: draveon353

1. 75000 ⇒ 7.5 × $10^{4}$

2. 0.0024 ⇒ 2.4 × $10^{-3}$

3. 75,000,000 ⇒ 7.5 × $10^{7}$

4. 0.0000024 ⇒ 2.4 × $10^{-6}$

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers.

A number is written in scientific as a number between 1 and 10 and multiplied by a power of 10

The form of the scientific notation is a × $10^{n}$ , where

1 < a < 10n is an integern is positive if the decimal point moves from right to leftn is negative if the decimal point moves from left to right

1. 75000

→ Place a decimal point between 7 and 5 to make the number between

1 and 10

∴ a = 7.5

→ Count the number of the digits right to the decimal point

∵ There are 4 digits right to the decimal point

∴ n = 4

∴ 75000 ⇒ 7.5 × $10^{4}$

2. 0.0024

→ Move the decimal point from left to right to place it between 2 and 4 to

make the number between 1 and 10

∴ a = 2.4

→ Count the number of the digits left to the decimal point

∵ There are 3 digits left to the decimal point

∴ n = -3

∴ 0.0024 ⇒ 2.4 × $10^{-3}$

3. 75,000,000

→ Place a decimal point between 7 and 5 to make the number between

1 and 10

∴ a = 7.5

→ Count the number of the digits right to the decimal point

∵ There are 7 digits right to the decimal point

∴ n = 7

∴ 75,000,000 ⇒ 7.5 × $10^{7}$

4. 0.0000024

→ Move the decimal point from left to right to place it between 2 and 4 to

make the number between 1 and 10

∴ a = 2.4

→ Count the number of the digits left to the decimal point

∵ There are 6 digits left to the decimal point

∴ n = -6

∴ 0.0000024 ⇒ 2.4 × $10^{-6}$

Answer from: Quest

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram. we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2. so it's not a square or a rhombus.

we check the dot product of direction vectors of adjacent sides. we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular. we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

Answer from: Quest

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Express the numbers in scientific notation: 1. 75000
2. 0.0024
3. 75,000,000
4. 0...