What is this? I need help with a 3 of them.

When numbers are very small or very large, it is convenient to either express the value in scientific notation and/or by using a

finlep [7]

$\boxed{ \ 5.0 \times 10^{-3} \ grams \rightarrow 5.0 \ milligrams \ }$

<h3>Further explanation </h3>

Scientific notation represents the precise way scientists handle exceptionally abundant digits or extremely inadequate numbers in the product of a decimal form of number and powers of ten.

Put differently, such numbers can be rewritten as a simple number multiplied by 10 raised to a certain exponent or power. It is a system for expressing extremely broad or exceedingly narrow digits compactly.

Scientific notation should be in the form of

$\boxed{ \ a \times 10^n \ }$

where

$\boxed{ \ 1 \leq a \ < 10 \ }$

The number "a" is called "mantissa" and the exponent "n" the order of magnitude.

The exponent tells about the size of the number.

A positive exponent indicates a number greater than or equal to 1.
A negative exponent indicates a number between 0 and 1.

From the key questions asked, we face the standard form of 0.005 grams which will be converted into scientific notation.

$0.005 = \frac{5}{1,000}$

The coefficient (or mantissa) is 5, which has fulfilled the interval 1 ≤ a < 10.
The denominator consists precisely of three zero digits.

Hence, 0.005 grams is written in scientific notation as $\boxed{ \ 5.0 \times 10^{-3} \ grams \ }$

Because 1 milligrams is equal to 10^{- 3} grams, then

$5.0 \times 10^{-3} \ grams \times \frac{1 \ milligrams}{10^{-3} \ grams}$

Hence, 0,005 grams is 5.0 milligrams.

In science, we frequently must deal with extremely small or incredibly large quantities. For a typical example, one of the recognized limitations of the microwave frequency is 300,000,000 Hz with a photon energy of 0.00000124 eV. They with many zeros can be impractical to work with, so scientists properly implement scientific notation.

The inverse of scientific notation is the standard form. To promptly change scientific notation into standard form, we reverse the process, move the decimal point to the right or left. This expanded form is called the standard form.

$\boxed{ \ 3.0 \times 10^{8} \ Hz \ \rightarrow 300,000,000 \ Hz \ or \ 300 \ MHz \ }$

$\boxed{ \ 0.00000124 \ eV \ \rightarrow 1.24 \times 10^{-6} \ eV \ or \ 1.24 \ \mu eV \ }$

<h3>Learn more</h3>

How is 0.00069 written in scientific notation? brainly.com/question/7263463
How to explain 3,482,000,000 in scientific notation brainly.com/question/231855
Convert the number expressed in standard form to scientific notation brainly.com/question/10436883

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5 0

3 years ago

What translation is shown below?

77julia77 [94]

Answer:

5 units right

Step-by-step explanation:

7 0

4 years ago

Find the circumference of the circle and show work

Kryger [21]

Answer:

so the answer is 25.13

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·8≈25.13274

5 0

2 years ago

Read 2 more answers

Lane's arm span is 61 inches. If his height is 1⁄4 foot longer than his arm span, how tall is he?

Naddik [55]

He is 64 inches tall.

7 0

3 years ago

Read 2 more answers

Beginner algebra help, I’m so lost thank u !!

wariber [46]

Answers:

f(1.9) = 5
f(2.9) = 8
f(-2.1) = -7

==============================================================

Explanation:

The int function is the nearest integer function, and it's also called the floor function. It rounds things down to the nearest integer. The term 'down' is important.

So for example,

A number like 1.9 rounds down to 1. It doesn't matter how much closer 1.9 is to 2, we always round down. The number could be 1.9999999 and we still round down to 1.
The number 2.9 rounds down to 2. The same idea applies. For positive numbers, we can just drop the decimal portion and we have our answer.
The number -2.1 rounds down to -3. This is a bit strange and it helps to draw a vertical number line as I've done below (see the attached image). Think of each integer as floors of a building. The positive integers are floors above the ground, while negative integers are basement levels. If we're at -2.1 on this vertical number line, then moving down will have us arrive at -3 as the next integer floor.
As another example with a negative value, we can say int(-7.2) = -8; use the vertical number line diagram if needed.

The reason why it's called the floor function is because we round down to the nearest floor.

In contrast, the ceiling function will have us always rounding up. Using the ceiling function on a number like 2.00007 will round up to 3 even though it's much closer to 2.

I recommend you practice a bit with this floor function to get a better grasp on it if you're still stuck. Feel free to ask any questions about it.

--------------------------------

With those examples out of the way, we can now determine the output of the function int(3x)

It's a similar idea, but we'll be multiplying each input x value by 3 first, then applying the int function.

If x = 1.9, then 3x = 3*1.9 = 5.7

Then note how int(3x) = int(5.7) = 5

Therefore, f(1.9) = 5

This is how the steps could look like

f(x) = int(3x)

f(1.9) = int(3*1.9)

f(1.9) = int(5.7)

f(1.9) = 5

--------------------------------

Repeat those steps but now using x = 2.9

f(x) = int(3x)

f(2.9) = int(3*2.9)

f(2.9) = int(8.7)

f(2.9) = 8

-------------------------------

And finally, we need to plug in x = -2.1

f(x) = int(3x)

f(-2.1) = int(3*(-2.1))

f(-2.1) = int(-6.3)

f(-2.1) = -7

Be careful not to round down to -6 as this is incorrect. Use the vertical number line if needed.

4 0

3 years ago