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Let’s check out your problem:
Write
4
2
5
4\frac{2}{5}
4
5
2
as a decimal number.
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Math Problems
Grade 6
Convert between decimals and mixed numbers
Full solution
Q.
Write
4
2
5
4\frac{2}{5}
4
5
2
as a decimal number.
Convert to Improper Fraction:
Convert the mixed number
4
4
4
2
2
2
/
5
5
5
to an improper
fraction
.
\newline
Calculation:
4
2
5
=
4
×
5
+
2
=
20
+
2
=
22
4 \frac{2}{5} = 4 \times 5 + 2 = 20 + 2 = 22
4
5
2
=
4
×
5
+
2
=
20
+
2
=
22
, so
4
2
5
=
22
5
4 \frac{2}{5} = \frac{22}{5}
4
5
2
=
5
22
.
Convert to Decimal:
Divide the numerator by the denominator to convert the fraction to a decimal.
\newline
Calculation:
22
5
=
22
÷
5
=
4.4
\frac{22}{5} = 22 ÷ 5 = 4.4
5
22
=
22
÷
5
=
4.4
.
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Question
What is the quotient of
2.058
×
1
0
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2.058 \times 10^{7}
2.058
×
1
0
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×
1
0
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2.1 \times 10^{4}
2.1
×
1
0
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expressed in scientific notation?
\newline
Answer:
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Question
What is the quotient of
8.91
×
1
0
5
8.91 \times 10^{5}
8.91
×
1
0
5
and
9.9
×
1
0
2
9.9 \times 10^{2}
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×
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expressed in scientific notation?
\newline
Answer:
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Question
What is the quotient of
3.648
×
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0
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3.648 \times 10^{8}
3.648
×
1
0
8
and
3.8
×
1
0
5
3.8 \times 10^{5}
3.8
×
1
0
5
expressed in scientific notation?
\newline
Answer:
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Question
Mariana wears her winter coat when the temperature is colder than
−
4
∘
C
-4^\circ\text{C}
−
4
∘
C
. If
t
t
t
is the temperature, in
∘
C
^\circ\text{C}
∘
C
, at which Mariana wears her winter coat, which of the following inequalities best models the situation?
\newline
(A)
t
t
t
\newline
(B)
t
>
−
4
t>-4
t
>
−
4
\newline
(C)
t
<
4
t<4
t
<
4
\newline
(D)
t
≥
4
t≥ 4
t
≥
4
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