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Convert scientific notation to ordinary
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marley jervis
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Cards (29)
What does scientific notation express?
Large or small numbers using a
coefficient
What are the two main components of scientific notation?
Coefficient
and
power of 10
What is the coefficient in scientific notation?
The number before the "
times 10
" part
How do you convert
4.7
×
1
0
−
1
4.7 × 10^{-1}
4.7
×
1
0
−
1
to decimal form?
Move the
decimal point
one place left
What does the tiny number at the top of 10 represent in scientific notation?
It is called an
exponent
What is the effect of multiplying 4.7 by 0.1?
It reduces the
size
of the number
What does a minus sign in the exponent indicate?
It means to make the number
smaller
What are the components of scientific notation?
A number with a
decimal point
An
exponent
(tiny number at the top)
A
base
of
10
What does moving the decimal point to the left indicate when converting scientific notation?
It makes the number
smaller
What is the ordinary number equivalent of
4.7
×
10⁻¹
?
0.47
How do you convert the scientific notation 4.7 × 10⁻¹ to an ordinary number?
Move the
decimal
one place to the left
What are the steps to convert scientific notation to an ordinary number?
Identify the
coefficient
Determine the
exponent
Move the decimal point
Left for
negative
exponents
Right for
positive
exponents
What does moving the decimal point to the right indicate when converting scientific notation?
It makes the number
larger
Why does moving the decimal point left affect the exponent?
It makes the number smaller, matching the
negative
exponent
How does the coefficient and base work together in scientific notation?
They express numbers in a compact form
What is the purpose of scientific notation?
To write
big
or
small
numbers easily
What is the base in scientific notation?
Always
10
, raised to an exponent
How does a positive exponent affect the conversion of scientific notation?
It indicates moving the
decimal
right
What is the purpose of writing a number in standard form?
To express numbers in a
consistent format
What is the concept behind the "number sliding game" in relation to exponents?
Moving the
decimal
left shrinks the number
Negative
exponents indicate this movement
What does the number sliding game help with?
It helps in writing numbers in
standard form
How does the number 4.7 × 10⁻¹ change when applying the exponent?
It becomes
0.47
How does a negative exponent affect the conversion of scientific notation?
It indicates moving the
decimal
left
What is the first step in converting scientific notation to an ordinary number?
Identify the
coefficient
What is the second step in converting scientific notation to an ordinary number?
Determine the
exponent
What is the result of moving the decimal point left in
4.7
×
1
0
−
1
4.7 \times 10^{-1}
4.7
×
1
0
−
1
?
It gives us
0.47
What does an exponent of -1 indicate?
Divide
the
coefficient
by 10
What is the decimal form of
4.7
×
1
0
−
1
4.7 × 10^{-1}
4.7
×
1
0
−
1
?
0.47
What does a negative exponent signify in terms of decimal movement?
It means moving the decimal point
left