Numbers & Operations

Problem 9001

Find each root that is a real number. 100-\sqrt{100}

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Problem 9002

A sign shows that the distance to Las Vegas is 22 miles. A traveler wants to know what this distance is in kilometers. Help the traveler by completing the parts below. (a) Let xx be the unknown number of kilometers. Using the values below, create a proportion that can be used to find xx. Use the conversion 1 mile =1.6=1.6 kilometers.
Values: \square 1 \square \square \square \square \square \square (b) Use the proportion from part (a) to find the distance to Las Vegas in kilometers. Do not round any computations. \square kilomete

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Problem 9003

Julie is visiting Canada from England. She brought £1000£ 1000. Maria is visiting Canada from Mexico. She brought MX\15000.LiaLeiisvisitingCanadafromChina.ShebroughtCN¥20000.Whohasthemostmoneytospend?Showyourwork.15000. Lia Lei is visiting Canada from China. She brought CN¥20 000. Who has the most money to spend? Show your work. £1C$1.650MX$1C$0.081CN¥1C$0.152\begin{array}{l} £ 1 \doteq \mathrm{C} \$ 1.650 \\ \mathrm{MX} \$ 1 \doteq \mathrm{C} \$ 0.081 \\ \mathrm{CN} ¥ 1 \doteq \mathrm{C} \$ 0.152 \end{array}$

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Problem 9004

3. 7 0 \longdiv { 5 , 5 9 1 }

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Problem 9005

Identify each number as prime or composite. Then list all the factors. 5) 2 6) 37 7) 27 8) 54 9) 19 10) 63

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Problem 9006

Create four (4) problems that include fractions. Solve the probl using estimation.
Each problem must contain: - at least three (3) fractions - two (2) must include the addition of fractions - two (2) must include subtraction of fractions. - an explanation of your reasoning process for each problem

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Problem 9007

8. 13=9\frac{1}{3}=\frac{-}{9}

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Problem 9008

7) 7.1×1068.2×101\frac{7.1 \times 10^{6}}{8.2 \times 10^{1}}

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Problem 9009

Use the conversion facts above to find an approximate equivalic
17. 6ft6 \mathrm{ft} \approx \qquad cm
15. 3 in. \approx \qquad cm
16. 2floz2 \mathrm{fl} \mathrm{oz} \approx \qquad mL
20. 60 mL60 \mathrm{~mL} \approx \qquad fl Oz
18. 4 m4 \mathrm{~m} \approx \qquad in.
19. 7 L7 \mathrm{~L} \approx \qquad qt
23. 8.8lb=8.8 \mathrm{lb}= \qquad kg
21. 78in.78 \mathrm{in} . \approx \qquad m
22. 120 cm120 \mathrm{~cm} \approx \qquad ft

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Problem 9010

5 (c) An astronaut drinks 12\frac{1}{2} gallon of water each day. How many gallons of water will the astronaut drink in 5 days? \qquad
Answer: \square gallon (s)

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Problem 9011

Convert to millimeters.
Try using the metric prefix conversion chart: METRIC CONVERSION CHART Length/Capacity/Weight(Mass) Toce nerit to a smaller unit, maltipyly meving the decimel point to the right. Largerturit ×10×10×10×10×10\times 10 \times 10 \times 10 \times 10 \times 10 smillestemt \begin{tabular}{|c|c|c|c|c|c|c|} \hline King & Henry & Died & By & Drinking & Chocolate & Mik \\ \hline Kilo & Hecto & Deka & \begin{tabular}{l} BASE \\ Meter \\ Uter \\ Gram \end{tabular} & Deci & Centi & Mili \\ \hline & & &  whent  remic \begin{array}{l} \hline \text { whent } \\ \text { remic } \\ \hline \end{array} & & & \\ \hline \end{tabular}
Meter: Iength/distance Liter: capacity Grami weqht(mass)
100 meters == \square millimeters

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Problem 9012

Calculate the kinetic energy of a 544.kg544 . \mathrm{kg} boat moving at a speed of 13.2 m s13.2 \frac{\mathrm{~m}}{\mathrm{~s}}. Round your answer to 3 significant digits.

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Problem 9013

1331=13 \frac{3}{1}=

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Problem 9014

Find the missing digits in each of the following. a. \begin{tabular}{ccc} & - & - \\ + & 8 & 5 \\ \hline- & 2 & 0 \end{tabular} b. \begin{tabular}{rrrr} - & 2 & 3 & 5 \\ 1 & 3 & - & 7 \\ +3+\quad 3 & 2 & 3 & 5 \\ \hline 8 & - & 6 & - \end{tabular}

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Problem 9015

735×53=735 \times 53=

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Problem 9016

1) 2) 3)
Prime Factors xxx=60{ }_{-} x_{-} x_{-} x_{-}=60 Prime Factors Prime Factors xx=99{ }_{-} x_{-} x_{-}=99 xxxx=48-x_{-} x_{-} x_{-} x_{-}=48

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Problem 9017

Name \qquad \& Far b we can add with bigger numbers! (1)
I have 16. Adding with teen
Extra Practice numbers Unit 3. 11 Then I get 3 more. Now I have \qquad (2) Make it 14+3=14+3= (17
Equation \qquad \begin{tabular}{|l|l|l|l|l|} \hlineaa & 0 & \cdot & & nn \\ \hline & & & & \\ \hline \end{tabular} \square \square (3) Make it a 3 \qquad =15+2=15+2 \qquad \qquad \begin{tabular}{l} 4 30+2=10+20+1+130+2=10+20+1+1 \\ \hline\square \\ \hline \end{tabular} \qquad \qquad Irue? Illustrative Math Friendly Extra Practice for Fists Grode OK

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Problem 9018

6) (7×5+62)+2\left(7 \times 5+6^{2}\right)+2 7) (8662)+(1+3)\left(86-6^{2}\right)+(-1+3) 8) (355)+2+22(35-5)+2+2^{2} 9) (2+2)2+(10+5)(2+2)^{2}+(10+5) 10) (6152)÷(8+4)\left(61-5^{2}\right) \div(8+4)

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Problem 9019

The weight of 6 eggs is shown. Identify the constant of proportionality of total weight to number of eggs.
The weight of 6 eggs is 258 g .
The constant of proportionality is \square grams per egg.

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Problem 9020

17) 9.3×1088.3×1059.3 \times 10^{-8}-8.3 \times 10^{-5} 19) (2.3×102)(5×101)\left(2.3 \times 10^{2}\right)\left(5 \times 10^{1}\right) 21) (2.1×104)(3.05×101)\left(2.1 \times 10^{-4}\right)\left(3.05 \times 10^{1}\right) 23) 6.3×1057×104\frac{6.3 \times 10^{-5}}{7 \times 10^{4}} 25) 8.88×1012×106\frac{8.88 \times 10^{-1}}{2 \times 10^{6}}

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Problem 9021

2 or 62 \text { or } 6
Solve. Show your work on paper. Enter your answer in the box. 12×38=12 \times \frac{3}{8}= \square
3 of 6

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Problem 9022

1.1: Reasonable Estimates
1. Which estimate for the product 18×14918 \times 149 is most reasonable? Explain or show your reasoning. A. 2,000 B. 4,000 C. 3,000 D. 1,500

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Problem 9023

which of the fallowing Pairs has GCf of 1 ? (A) 8 and 129 and 2810 and 1514 and 21\begin{array}{l} 8 \text { and } 12 \\ 9 \text { and } 28 \\ 10 \text { and } 15 \\ 14 \text { and } 21 \end{array}

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Problem 9024

Percent Change - Item 35084
A soap manufacturer decreases the size of its trial-size bottle of dishwashing soap to 4.5 ounces, which is 10%10 \% less than the original size.
What is the original size of the bottle? GEAR \square ounces

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Problem 9025

(54)2=433=\begin{aligned}-\left(\frac{5}{4}\right)^{2} & =\square \\ \frac{4^{3}}{3} & =\square\end{aligned}

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Problem 9026

```latex \begin{array}{r} \square 7 \\ +378 \\ +\quad 147 \\ \hline \end{array} ```

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Problem 9027

قدم حسن اقراره الضريبي عن سنة 2014 بمجهوع ايراد 200000 شيكل موزعين 160000 شيكل من وظية في في شركة خاصة و 40000 شيكل من تأتبير عقار يملكا تقطع الشركة من راتبه ضريبة شهرية ما قيتيا 200 شيكل. بالاضسافة أن المكلف دفع ضريبة أمالاك 8140 شيكل. ما قيشة الذخل الخاضى اللضريبة لعام 2014
Select one: a. شينل 200,000 b. 191,860 شيكل c. شيكل 160,000 d. 40,000 شيكل

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Problem 9028

Calculate the sum of 838.0 and 542.7. What is the result?

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Problem 9029

Calculate the trip cost for a 1,940-mile journey with a car that gets 28 mpg and gas at \$2.95 per gallon. Round to the cent.

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Problem 9030

Calculate 2,593÷212,593 \div 21.

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Problem 9031

How much is a Tata Nano costing in USD if it’s 2,057 GBP, with 1 GBP = 83.11 IR and 1 USD = 71.44 IR? Round to the nearest dollar.

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Problem 9032

Convert 1.000×103 cm31.000 \times 10^{3} \mathrm{~cm}^{3} of water to gallons using 1 cm3=1 mL1 \mathrm{~cm}^{3}=1 \mathrm{~mL} and 1 L=0.2641 \mathrm{~L}=0.264 gallons.

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Problem 9033

What is the ratio of rabbits to total animals in a zoo with 5 goats, 8 sheep, and 12 rabbits? A. 8:128: 12 B. 12:1312: 13 C. 12:2512: 25 D. 25:1225: 12

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Problem 9034

How much is 9,609 Iceland Krona in U.S. Dollars? Round to the nearest dollar. Choose the correct fractions for dimensional analysis.

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Problem 9035

What is another way to express the ratio of brown-eyed students to total students, 20:2520: 25? A. 20 B. 25 C. 2025\frac{20}{25} D. 2520\frac{25}{20}

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Problem 9036

How many social media users are added per second if 1.2 million are added daily? Round to one decimal place.

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Problem 9037

Convert 1,000,0001,000,000 Joules to calories and kWh\mathrm{kWh}. How many calories and kWh\mathrm{kWh} is that?

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Problem 9038

How many lifespans of an Amazon employee earning \$13/hour would equal Jeff Bezos' \$143.1 billion net worth? Round to nearest whole number.

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Problem 9039

Bailey downloaded 7 TV show episodes at \$1.75 each. What is her total cost?

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Problem 9040

Check if these products are less than 25: 10.4×2.310.4 \times 2.3, 0.8×310.8 \times 31, 2.86×11.42.86 \times 11.4, 5.6×4.505.6 \times 4.50.

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Problem 9041

How many times would 10 million dollar bills (6.14 in each) wrap around the 84-mile I-275 loop? Round to 1 decimal place.

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Problem 9042

Convert the expanded forms to standard form: A. 3,000+500+23,000 + 500 + 2 B. 30,000+50+230,000 + 50 + 2

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Problem 9043

Patrick drew a smiley face on 13\frac{1}{3} of the circles, which is 4. What is the ratio of total circles to blank circles? A. 1:31: 3 B. 2:32: 3 C. 3:23: 2

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Problem 9044

Calculate 1.75×71.75 \times 7.

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Problem 9045

Calculate 231÷42231 \div 42.

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Problem 9046

Patrick drew a smiley face on 13\frac{1}{3} of the circles. What is the ratio of total circles to blank circles? A. 1:31:3 B. 2:32:3 C. 3:23:2

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Problem 9047

Divide 78.3278.32 by 22.

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Problem 9048

Divide 66.15 by 5: 66.15÷566.15 \div 5

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Problem 9049

If Charles runs 100 meters in 23.4 seconds, how long for 400 meters at that speed?

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Problem 9050

Divide 188.4 by 60. What is the result?

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Problem 9051

If Charles runs 100 meters in 23.4 seconds, how long for 400 meters? A) 9,360 s B) 2,340 s C) 423.4 s D) 93.6 s

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Problem 9052

If Charles runs 100 meters in 23.4 seconds, how long for 40 meters? A) 9,360s B) 2,340s C) 423.4s D) 93.6s

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Problem 9053

Calculate 59.6÷859.6 \div 8.

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Problem 9054

What is the value of (3)0(-3)^{0}?

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Problem 9055

Stephanie has 3343 \frac{3}{4} bags of soil, each covering 125.3ft2125.3 \mathrm{ft}^{2}. How many square feet can she cover?

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Problem 9056

Convert 7.5 cm to mm. What is the value in mm?

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Problem 9057

Divide 7.7 by 700. How many decimal places does the result have? Explain using place-value reasoning.

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Problem 9058

Show why 1.016÷4.0640.0251.016 \div 4.064 \neq 0.025 without performing the division.

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Problem 9059

What is 1,408÷271,408 \div 27?

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Problem 9060

Stephanie has 3343 \frac{3}{4} bags of soil, each covering 125.3ft2125.3 \mathrm{ft}^{2}. How much area can she cover?

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Problem 9061

Divide 5.372 by 2 using long division.

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Problem 9062

Solve using the standard algorithm: 0.576÷4=0.576 \div 4 =

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Problem 9063

1. Convert 0.8 km0.8 \mathrm{~km} to cm\mathrm{cm}.

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Problem 9064

Find the total length in inches of the diameters of 8 softball bat handles, each with a diameter of 1341 \frac{3}{4}.

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Problem 9065

Multiply the fractions: 13×14\frac{1}{3} \times \frac{1}{4}.

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Problem 9066

Sara ordered 2 eggs, 1 bacon, and 1 juice. With a \$0.48 tax, how much change from her \$10 bill?

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Problem 9067

Calculate the product of 56\frac{5}{6} and 37\frac{3}{7}.

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Problem 9068

Calculate the product of 430\frac{4}{30} and 25\frac{2}{5}.

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Problem 9069

A box of crackers has 2,470 calories. Each serving has 83 calories. How many servings are in the box?

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Problem 9070

Identify the irrational numbers from the list: A. 89-\frac{8}{9}, B. 0.250 . \overline{25}, C. 2\sqrt{2}, D. 21\frac{2}{1}, E. π\pi, F. None.

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Problem 9071

Identify the natural numbers from the following options: A. -7 B. 38\frac{3}{8} C. 0.250 . \overline{25} D. 9\sqrt{9} E. None.

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Problem 9072

Identify the integers from the list: A. 9\sqrt{9}, B. 38\frac{3}{8}, C. -7, D. 0.250 . \overline{25}, E. None.

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Problem 9073

Identify the whole numbers from the options: A. -7, B. 0.250.\overline{25}, C. 9\sqrt{9}, D. 38\frac{3}{8}, E. None.

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Problem 9074

Identify the rational numbers from the list: A. 9\sqrt{9}, B. -7, C. 0.250 . \overline{25}, D. 38\frac{3}{8}, E. None.

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Problem 9075

Identify the irrational numbers from the options: A. 9\sqrt{9}, B. 0.250 . \overline{25}, C. 38\frac{3}{8}, D. -7, E. none.

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Problem 9076

Which type of numbers best represents a town's population: A. Rational, B. Natural, or C. Integers?

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Problem 9077

Determine the best set of numbers for shoe sizes: A. Rational numbers B. Integers C. Natural numbers D. None.

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Problem 9078

Which set of numbers best describes the low temperature in Boston? A. Integers B. Rational numbers C. Natural numbers D. All of the above

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Problem 9079

Evaluate the expression: 5369|5 \cdot 3 - 6 \cdot 9|. What is the result?

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Problem 9080

Calculate 822(58)4=(-8^{2}-2(5-8)^{4}=\square( Simplify your answer. ))

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Problem 9081

Calculate the absolute value: 5369=|5 \cdot 3 - 6 \cdot 9| =

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Problem 9082

Convert 232 oz to lb and round your answer to 3 decimal places. 232oz=232 \mathrm{oz} = lb\mathrm{lb}

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Problem 9083

Calculate 16.240360\frac{16.2}{40} \cdot 360^{\circ}.

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Problem 9084

Convert 11 feet to meters using 1ft=0.305 m1 \mathrm{ft}=0.305 \mathrm{~m} or 1 m=3.281ft1 \mathrm{~m}=3.281 \mathrm{ft}. Round to the nearest hundredth.

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Problem 9085

Simplify the expression: 202162=\sqrt{20^{2}-16^{2}}=

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Problem 9086

Simplify 4+72+32225=(\frac{4+7}{2+3}-\frac{-2^{2} \cdot 2}{5}=\square( Your answer. ))

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Problem 9087

Calculate: (27)(4)=\left(\frac{2}{7}\right)(-4)=

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Problem 9088

Rationalize and simplify the expression: 37\frac{3}{\sqrt{7}}.

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Problem 9089

Simplify: 8256÷76=-8^{2}-56 \div 7-6=

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Problem 9090

How much do lemons cost to make four 9-inch pies needing half a cup of juice each, if they are \$0.55 each?

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Problem 9091

Convert 15,000 to scientific notation.

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Problem 9092

Compare these numbers using >, <, or =: 16.45, 0.83, 95.045, 419.10.

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Problem 9093

Convert 15,000 to scientific notation. Provide your answer in the form a×10na \times 10^n.

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Problem 9094

Calculate the usual dose of Ibuprofen in mg for an 18-month-old child weighing 26 pounds, using 5 mg/kg. Round to the nearest mg.

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Problem 9095

A 129-page report needs 16 copies. Calculate the paper cost for printing using reams (500 pages) at \$3.72 each. Round to the nearest cent.

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Problem 9096

Compare these numbers using <<, >>, or ==: 419.10, 5.8, 36.009, 104.12, 0.158, 703.005, 5.8, 40, 104.002, 0.58, 703.05.

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Problem 9097

Arrange the numbers in increasing order: 8.08, 8.081, 8.09, 8.008 and 14.204, 14.200, 14.240, 14.210.

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Problem 9098

How many times does a heart beat in 80 years if it beats 72 times per minute? Include time conversion factors and units.

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Problem 9099

Convert 78000 to scientific notation: 7.8×1047.8 \times 10^4

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Problem 9100

Convert 0.000000000045 to scientific notation.

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