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Archive
/
Math
Numbers & Operations
Problem 9101
Convert 0.0000000094 to scientific notation.
See Solution
Problem 9102
Convert -0.0036 to scientific notation.
See Solution
Problem 9103
Determine which is smaller: the length
x
x
x
in meters or the length
y
y
y
in millimeters.
See Solution
Problem 9104
Convert the wavelength of light,
8
×
1
0
−
2
8 \times 10^{-2}
8
×
1
0
−
2
meter, into decimal form:
8
×
1
0
−
2
meter
=
□
meter
8 \times 10^{-2} \text{ meter }=\square \text{ meter }
8
×
1
0
−
2
meter
=
□
meter
See Solution
Problem 9105
Convert
3.262
×
1
0
3
3.262 \times 10^{3}
3.262
×
1
0
3
into standard form. What is
3.262
×
1
0
3
=
3.262 \times 10^{3}=
3.262
×
1
0
3
=
? (Enter as an integer or decimal.)
See Solution
Problem 9106
Convert 0.26 watts of electrical power into scientific notation.
0.26
=
0.26 =
0.26
=
See Solution
Problem 9107
Convert 0.26 watts of power generated by the body into scientific notation.
See Solution
Problem 9108
Convert 0.26 watts of electrical power generated by the body into scientific notation:
0.26
=
0.26=
0.26
=
See Solution
Problem 9109
Calculate
2.
4
3
5
+
π
−
1
\frac{2.4^{3}}{\sqrt{5+\pi}-1}
5
+
π
−
1
2.
4
3
and round to the nearest thousandth.
See Solution
Problem 9110
Calculate
2.
4
3
5
+
π
−
1
\frac{2.4^{3}}{\sqrt{5+\pi}-1}
5
+
π
−
1
2.
4
3
and round to the nearest thousandth.
See Solution
Problem 9111
Dimos bikes 144 miles a day for 5 days. Calculate total miles:
144
×
5
144 \times 5
144
×
5
.
See Solution
Problem 9112
Resuelve las siguientes operaciones:
1.
2
7
−
1
=
\frac{2}{7}-1=
7
2
−
1
=
2.
1
2
−
2
3
+
3
4
=
\frac{1}{2}-\frac{2}{3}+\frac{3}{4}=
2
1
−
3
2
+
4
3
=
3.
(
2
7
)
(
−
4
)
=
\left(\frac{2}{7}\right)(-4)=
(
7
2
)
(
−
4
)
=
4.
(
−
3
5
)
(
2
7
)
(
−
1
2
)
=
\left(-\frac{3}{5}\right)\left(\frac{2}{7}\right)\left(-\frac{1}{2}\right)=
(
−
5
3
)
(
7
2
)
(
−
2
1
)
=
5.
−
1
4
−
1
5
=
\frac{-\frac{1}{4}}{-\frac{1}{5}}=
−
5
1
−
4
1
=
6.
−
3
7
8
=
\frac{-\frac{3}{7}}{8}=
8
−
7
3
=
See Solution
Problem 9113
Find the percent change from
A
A
A
to
B
B
B
and from
B
B
B
to
A
A
A
for
A
=
$
1.23
A=\$ 1.23
A
=
$1.23
and
B
=
$
1.50
B=\$ 1.50
B
=
$1.50
.
See Solution
Problem 9114
Desiree swims for 25 minutes daily. How many total minutes does she swim in 14 days? Calculate:
25
×
14
25 \times 14
25
×
14
.
See Solution
Problem 9115
Calculate
1.
8
3
4
+
π
−
2
\frac{1.8^{3}}{\sqrt{4+\pi}-2}
4
+
π
−
2
1.
8
3
and round your answer to the nearest thousandth.
See Solution
Problem 9116
Sid spent \
6.80
o
n
w
r
a
p
p
i
n
g
p
a
p
e
r
a
n
d
$
7.35
o
n
r
i
b
b
o
n
.
H
e
w
r
o
t
e
6.80 on wrapping paper and \$7.35 on ribbon. He wrote
6.80
o
n
w
r
a
pp
in
g
p
a
p
er
an
d
$7.35
o
n
r
ibb
o
n
.
He
w
ro
t
e
(6.80+7.35) \div 8$ to find the cost per gift. How many gifts did he wrap?
See Solution
Problem 9117
Find the molar concentration in mol/L using mass density 2.40 g/mL and molar mass 116.86 g/mol:
(
2.40
g/mL
)
⋅
(
1
mL
/
1
0
−
3
L
)
(
116.86
g/mol
)
\frac{(2.40 \, \text{g/mL}) \cdot (1 \, \text{mL}/10^{-3} \, \text{L})}{(116.86 \, \text{g/mol})}
(
116.86
g/mol
)
(
2.40
g/mL
)
⋅
(
1
mL
/1
0
−
3
L
)
See Solution
Problem 9118
Yolanda bought
3
×
(
1
4
+
7
8
+
1
1
2
)
3 \times\left(\frac{1}{4}+\frac{7}{8}+1 \frac{1}{2}\right)
3
×
(
4
1
+
8
7
+
1
2
1
)
lbs and Sam bought
2
×
(
1
4
+
7
8
+
1
1
2
)
2 \times\left(\frac{1}{4}+\frac{7}{8}+1 \frac{1}{2}\right)
2
×
(
4
1
+
8
7
+
1
2
1
)
lbs. Who bought more? Explain.
See Solution
Problem 9119
How many cabins are full with 148 campers if each cabin holds 28 campers? Use
n
=
148
28
n = \frac{148}{28}
n
=
28
148
.
See Solution
Problem 9120
Jack's fishing gear cost \$6.79. What is the total cost including 7% sales tax?
See Solution
Problem 9121
Select all equivalent ratios from: 4:7, 8:15, 16:28, 2:3, 20:35.
See Solution
Problem 9122
Calculate the quotients and verify your results: 10.
3.38
÷
2.6
=
3.38 \div 2.6=
3.38
÷
2.6
=
, 11.
6.12
÷
1.53
=
6.12 \div 1.53=
6.12
÷
1.53
=
.
See Solution
Problem 9123
Calculate
0.63
÷
0.9
0.63 \div 0.9
0.63
÷
0.9
.
See Solution
Problem 9124
Calculate the total number of license plates with 2 letters and 5 digits. Use the formula:
2
6
2
×
1
0
5
26^2 \times 10^5
2
6
2
×
1
0
5
.
See Solution
Problem 9125
Convert
6
7
8
6 \frac{7}{8}
6
8
7
to an improper fraction in three different methods.
See Solution
Problem 9126
Determine how many ninths are in
2
5
9
2 \frac{5}{9}
2
9
5
.
See Solution
Problem 9127
Locate the point for
3
5
6
3 \frac{5}{6}
3
6
5
on a number line from 3 to 4 divided into twelfths.
See Solution
Problem 9128
Find the value of
□
\square
□
in the equation
(
38
c
m
3
)
⋅
□
=
?
m
3
(38 \mathrm{cm}^3) \cdot \square = ? \mathrm{m}^3
(
38
cm
3
)
⋅
□
=
?
m
3
.
See Solution
Problem 9129
Find the volume-to-surface area ratio for volume
30
cm
3
30 \, \text{cm}^3
30
cm
3
and surface area
62
cm
2
62 \, \text{cm}^2
62
cm
2
as a reduced fraction.
See Solution
Problem 9130
Kasi has 136 bricks for a patio with 8 equal rows. How many bricks per row? Solve:
x
=
136
8
x = \frac{136}{8}
x
=
8
136
.
See Solution
Problem 9131
Guadalupe bought a 6-pack of Mt. Dew for \$7.14. What is the unit price per can?
See Solution
Problem 9132
List the fractions of red, blue, green, and yellow marbles from greatest to least for 60 total marbles. Explain your reasoning.
See Solution
Problem 9133
Round 4,827 to the nearest ten.
See Solution
Problem 9134
Round 4,827 to the nearest ten, hundred, and thousand.
See Solution
Problem 9135
Which option shows "one hundred thirty thousand, sixty-two" in standard form? A. 100,362 B. 130,062 C. 130,620
See Solution
Problem 9136
Find the value of each digit in 37,026: 3: , 7: , 0: , 2: , 6: .
See Solution
Problem 9137
What is 2,653 rounded to the nearest hundred?
See Solution
Problem 9138
Nico spends \$5.76 on tomatoes at \$3.20 per pound. How many pounds did he buy?
See Solution
Problem 9139
What is the value of the 7 in 738,499? A. 700 B. 7,000 C. 70,000 D. 700,000
See Solution
Problem 9140
Which number completes this?
300
,
000
+
…
+
4
,
000
+
800
+
90
+
2
=
364
,
890
300,000 + \ldots + 4,000 + 800 + 90 + 2 = 364,890
300
,
000
+
…
+
4
,
000
+
800
+
90
+
2
=
364
,
890
. A. 60,000 B. 6,000 C. 600
See Solution
Problem 9141
Match each number with its word form and place value breakdown: 72,096, 5,437, 89,304, 8,934, 51,430, 7,296.
See Solution
Problem 9142
What is the standard form of the number
30
,
000
+
5
,
000
+
700
+
9
30,000 + 5,000 + 700 + 9
30
,
000
+
5
,
000
+
700
+
9
?
See Solution
Problem 9143
Convert 268442 into standard form.
See Solution
Problem 9144
Write 81,304 in expanded form using powers of ten.
See Solution
Problem 9145
Locate the point for
3
5
6
3 \frac{5}{6}
3
6
5
on a number line from 3 to 4 divided into twelfths.
See Solution
Problem 9146
Simplify the expression:
4
+
8
÷
4
1
6
\frac{4+8 \div 4}{1^{6}}
1
6
4
+
8
÷
4
. Is it A.
4
+
8
÷
4
1
6
=
\frac{4+8 \div 4}{1^{6}}=
1
6
4
+
8
÷
4
=
or B. undefined?
See Solution
Problem 9147
To compare two mixed numbers with the same whole number part, focus on their fractional parts.
See Solution
Problem 9148
Write three equivalent fractions for each: a.
7
10
\frac{7}{10}
10
7
, b.
−
7
12
\frac{-7}{12}
12
−
7
, c.
0
7
\frac{0}{7}
7
0
, d.
a
5
\frac{a}{5}
5
a
.
See Solution
Problem 9149
Write three equivalent fractions for each: a.
7
10
\frac{7}{10}
10
7
, b.
−
7
12
\frac{-7}{12}
12
−
7
, c.
0
7
\frac{0}{7}
7
0
, d.
a
5
\frac{a}{5}
5
a
.
See Solution
Problem 9150
Find three equivalent fractions for each: a.
7
10
\frac{7}{10}
10
7
, b.
−
7
12
\frac{-7}{12}
12
−
7
, c.
0
7
\frac{0}{7}
7
0
, d.
a
5
\frac{a}{5}
5
a
.
See Solution
Problem 9151
Find three fractions equal to
−
7
12
\frac{-7}{12}
12
−
7
. Match the numerator for
□
72
\frac{\square}{72}
72
□
.
See Solution
Problem 9152
Find three fractions equal to
−
7
12
\frac{-7}{12}
12
−
7
. Match the numerators for these denominators: 24, 72, and -84.
See Solution
Problem 9153
Find three fractions equivalent to
−
7
12
\frac{-7}{12}
12
−
7
. What is the numerator for
−
7
12
=
□
24
\frac{-7}{12}=\frac{\square}{24}
12
−
7
=
24
□
?
See Solution
Problem 9154
Calculate the sales tax balance for Valerie's business as of 31 March 20X6, given sales and purchases at
17.5
%
17.5\%
17.5%
. Choices: A \$7,639 Dr, B \$1,875 Dr, C \$7,639 Cr, D \$1,875 Cr.
See Solution
Problem 9155
Convert the mixed numbers to improper fractions: a.
5
1
6
=
5 \frac{1}{6}=
5
6
1
=
b.
−
3
5
7
=
-3 \frac{5}{7}=
−
3
7
5
=
See Solution
Problem 9156
Multiply the fractions:
10
8
⋅
7
5
\frac{10}{8} \cdot \frac{7}{5}
8
10
⋅
5
7
. Simplify your answer.
See Solution
Problem 9157
Multiply and simplify:
4
⋅
3
1
3
=
4 \cdot 3 \frac{1}{3} =
4
⋅
3
3
1
=
(whole number, fraction, or mixed number).
See Solution
Problem 9158
Add the fractions:
5
12
+
1
3
=
\frac{5}{12}+\frac{1}{3}=
12
5
+
3
1
=
(Type a whole number or a simplified fraction.)
See Solution
Problem 9159
Divide and simplify:
5
6
÷
25
9
\frac{5}{6} \div \frac{25}{9}
6
5
÷
9
25
. Choose A for a number or fraction, B if undefined.
See Solution
Problem 9160
Subtract the mixed numbers:
9
2
3
−
4
1
5
9 \frac{2}{3} - 4 \frac{1}{5}
9
3
2
−
4
5
1
. Simplify your answer to a whole number, proper fraction, or mixed number.
See Solution
Problem 9161
Convert the following to decimals: a. An insect's body length is about
0.125
0.125
0.125
inches. b. A planet orbits its sun every
234.076
234.076
234.076
days.
See Solution
Problem 9162
Convert these numbers to Roman numerals: 151, 47, 92, 3024.
See Solution
Problem 9163
The building was built in the year
1865
1865
1865
.
See Solution
Problem 9164
Convert these to base-ten numerals: a.
9
⋅
1
0
6
+
4
⋅
1
0
4
+
8
9 \cdot 10^{6}+4 \cdot 10^{4}+8
9
⋅
1
0
6
+
4
⋅
1
0
4
+
8
, b.
5
⋅
1
0
4
+
1
5 \cdot 10^{4}+1
5
⋅
1
0
4
+
1
.
See Solution
Problem 9165
Write
2034
4
five
20344_{\text{five}}
2034
4
five
in expanded notation. Which is correct? A.
2
⋅
5
4
+
0
⋅
5
3
+
3
⋅
5
2
+
4
⋅
5
1
2 \cdot 5^{4}+0 \cdot 5^{3}+3 \cdot 5^{2}+4 \cdot 5^{1}
2
⋅
5
4
+
0
⋅
5
3
+
3
⋅
5
2
+
4
⋅
5
1
B.
2
⋅
5
3
+
0
⋅
5
2
+
3
⋅
5
1
+
4
2 \cdot 5^{3}+0 \cdot 5^{2}+3 \cdot 5^{1}+4
2
⋅
5
3
+
0
⋅
5
2
+
3
⋅
5
1
+
4
C.
2
⋅
5
+
0
⋅
5
+
3
⋅
5
+
4
⋅
5
2 \cdot 5+0 \cdot 5+3 \cdot 5+4 \cdot 5
2
⋅
5
+
0
⋅
5
+
3
⋅
5
+
4
⋅
5
D.
2
⋅
5
2
+
0
⋅
5
1
+
3
⋅
5
0
+
4
2 \cdot 5^{2}+0 \cdot 5^{1}+3 \cdot 5^{0}+4
2
⋅
5
2
+
0
⋅
5
1
+
3
⋅
5
0
+
4
See Solution
Problem 9166
In 2015, how many Spanish-speaking radio stations were there if they increased by
119
%
119\%
119%
from 564 in 2005? Round to the nearest integer.
See Solution
Problem 9167
Write
221
2
three
2212_{\text{three}}
221
2
three
in expanded form and convert it to base ten. Choose the correct expanded form below.
See Solution
Problem 9168
Convert these base-ten numbers to the specified bases: a. 372 to base 5, b. 4178 to base 12, c. 44 to base 2.
See Solution
Problem 9169
Convert these base-ten numbers to the specified bases: 372 to base 5, 4178 to base 12, and 44 to base 2.
See Solution
Problem 9170
What is the minimum number of powers of 2 prizes that can total \$1020?
See Solution
Problem 9171
What is the minimum number of powers of 2 prizes that can sum to
$
818
\$ 818
$818
?
See Solution
Problem 9172
What is the closest approximation of
53
\sqrt{53}
53
from the options: 8.1, 7.3, 7.1, 7.7?
See Solution
Problem 9173
Calculate
687
×
47
687 \times 47
687
×
47
.
See Solution
Problem 9174
Donna weighed 176.83 pounds and lost 34.96 pounds. What is her current weight?
See Solution
Problem 9175
Complete these subtraction facts: 19-9=10, 12-2=__, 17-7=__. What are these types of facts called?
See Solution
Problem 9176
Complete the subtraction facts: $12-6=\frac{6}{8-4} \quad \underline{4} \quad 16-8= \$. What do they have in common?
See Solution
Problem 9177
Convert 0.023 to a fraction in simplest form. Choices:
23
10
\frac{23}{10}
10
23
,
23
100
\frac{23}{100}
100
23
,
23
1000
\frac{23}{1000}
1000
23
.
See Solution
Problem 9178
Harry has 56 bolts weighing 7.47 ounces each. What is their total weight in ounces? Options: 408.32, 418.32, 418.23, None.
See Solution
Problem 9179
Convert the fraction
98
1000
\frac{98}{1000}
1000
98
to a decimal. Options: 0.98, 0.098, 0.0098, None of these.
See Solution
Problem 9180
Calculate the difference:
8.02
⋅
0.003
8.02 \cdot 0.003
8.02
⋅
0.003
. Options: 7.990, 8.017, 8.019. None are correct.
See Solution
Problem 9181
Calculate the difference:
8.02
⋅
0.003
8.02 \cdot 0.003
8.02
⋅
0.003
. Choose from 7.990, 8.017, 8.019. None are correct.
See Solution
Problem 9182
Find the percentage increase in the average price of a boat from \$17,500 in 1993 to \$27,300 in 2013.
See Solution
Problem 9183
Find the mass of aluminum foil (length 14.79 cm, thickness 0.02 mm, density
2.71
g
/
c
m
3
2.71 \mathrm{~g/cm}^{3}
2.71
g/cm
3
) with volume
0.4
c
m
3
0.4 \mathrm{~cm}^{3}
0.4
cm
3
.
See Solution
Problem 9184
Convert 1 g of aluminum foil to moles using the mass of 1 mole =
26.982
g
26.982 \mathrm{~g}
26.982
g
.
See Solution
Problem 9185
Find the number of aluminum atoms in 0.04 moles, knowing 1 mole =
6.022
×
1
0
23
6.022 \times 10^{23}
6.022
×
1
0
23
atoms.
See Solution
Problem 9186
Determine if 5.787787778 ... is rational or irrational. Provide your reasoning.
See Solution
Problem 9187
Is
42
\sqrt{42}
42
a rational number? Provide your reasoning.
See Solution
Problem 9188
Convert
101
1
2
1011_{2}
101
1
2
to decimal and
13
2
10
132_{10}
13
2
10
to binary.
See Solution
Problem 9189
Is
9.565565556
…
9.565565556 \ldots
9.565565556
…
a rational number due to its repeating pattern? Agree or disagree and explain.
See Solution
Problem 9190
Identify the irrational number from the following list:
7.
27
‾
7.\overline{27}
7.
27
,
5
9
\frac{5}{9}
9
5
,
15
\sqrt{15}
15
,
196
\sqrt{196}
196
.
See Solution
Problem 9191
Find the absolute value. What is
∣
−
6.8
∣
|-6.8|
∣
−
6.8∣
?
See Solution
Problem 9192
Identify true statements about magnitude and absolute value. Check all that apply.
See Solution
Problem 9193
Wie viel € Zinsen erhält man nach 200 Tagen bei 5400 € und 2 % Zinsen? Und wie viel Zinsen am Jahresende ab 15. Juli?
See Solution
Problem 9194
Identify which numbers in the list
5.737737773
…
,
26
,
45
,
−
3
2
,
0
,
9
5.737737773 \ldots, 26, \sqrt{45}, -\frac{3}{2}, 0, 9
5.737737773
…
,
26
,
45
,
−
2
3
,
0
,
9
are rational and which are irrational.
See Solution
Problem 9195
Mr. King made a 2-gallon fruit punch with 2 oz Tamarind, 2 pt Lemon, 12 c Ginger, 1 qt Cayenne. Find the pineapple juice amount.
See Solution
Problem 9196
Andrew worked 6.6, 2.75, and 4.4 hours on a project. Why did he group the hours as
(
6.6
+
4.4
)
+
2.75
(6.6+4.4)+2.75
(
6.6
+
4.4
)
+
2.75
?
See Solution
Problem 9197
Add
6.6
+
2.75
+
4.4
6.6 + 2.75 + 4.4
6.6
+
2.75
+
4.4
. Why is it easier to add in a specific order?
See Solution
Problem 9198
Is the sum of
0.52
+
0.61
0.52 + 0.61
0.52
+
0.61
less than or greater than 1? Explain your reasoning.
See Solution
Problem 9199
What is the reason for adding
6.6
6.6
6.6
,
2.75
2.75
2.75
, and
4.4
4.4
4.4
in this order? (1 point)
See Solution
Problem 9200
Holland added three decimals to get 2, with one being 0.34. What are two other decimals that sum to 2?
See Solution
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