I need help with 6th grade math

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

Keywords: a pain-relieving pill has a mass, 0.005 grams, express, written, in scientific notation, milligrams, expanded form, exponent, base, standard form, mantissa, the order of magnitude, power, decimal, very large, small, figures, abundant digits, inadequate

5 0

3 years ago

I have no clue what the answer is... helo

icang [17]

I think the first part is 466

6 0

3 years ago

Read 2 more answers

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln(x), [1, 5]

matrenka [14]

Answer:

Yes, the function satisfies the hypothesis of the Mean Value Theorem on the interval [1,5]

Step-by-step explanation:

We are given that a function

$f(x)=ln(x)$

Interval [1,5]

The given function is defined on this interval.

Hypothesis of Mean Value Theorem:

(1) Function is continuous on interval [a,b]

(2)Function is defined on interval (a,b)

From the graph we can see that

The function is continuous on [1,5] and differentiable at(1,5).

Hence, the function satisfies the hypothesis of the Mean Value Theorem.

5 0

3 years ago

the ratio of the number of people who own a smartphone to the people who own a flip phone is 4 to 3 if 500 more people own a sma

liberstina [14]

2000 people own a smartphone and 1500 people own a flip phone.

6 0

3 years ago

I need the correct answer and explanation

Arada [10]

Answer:

D - The elevator traveled upward at a rate of 2(2/5) feet per second.

Step-by-step explanation:

Okay, this is almost like kinematics, which deals with physics.

Here are your given values:

Position 1 = 70ft [down]

Position 2 = 10ft [down]

Change in time (Δt - time - scalar) = 25 seconds

The equation for displacement is d₂-d₁. This would be the change of position of the elevator during the 25 seconds.

So, we can use this equation to figure out the change in position.

Δd = d₂-d₁ = 10ft [down] - 70 ft [down] = 60ft [up]

The equation for velocity is Δd/Δt. This would be the rate of which the elevator travels. Velocity is simply speed but with a direction.

So, we can use this equation to solve.

v = Δd / Δt = 60 feet [up] / 25 seconds = 2.4 ft / second [up].

Now, we need to change 2.4 ft / second [up] into a fraction.

2.4 -> 2 (4/10) -> 2 (2/5)

All I am simply doing is figuring out the distance the elevator traveled and determined the direction of which the elevator traveled. Then, I divided that by the time the elevator traveled to determine its speed and the direction the elevator traveled.

4 0

3 years ago