Numbers & Operations

Problem 4601

The Dolphins gained 16 yards and lost 11 yards. Write the expression 16+(11)16 + (-11), find the sum, and explain its meaning.

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Problem 4602

Convert the repeating decimal 0.450.\overline{45} to a fraction.

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Problem 4603

Calculate 15(7)15 - (-7).

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Problem 4604

On a map, 2 cm2 \mathrm{~cm} equals 30mi30 \mathrm{mi}. Find the map distance for 75mi75 \mathrm{mi}. Show your work.

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Problem 4605

Lupe has 7.2L and 0.92L of water in two fishbowls. How to compare their amounts? Marta freezes 34\frac{3}{4} of 24 cups of grapes. How many cups?

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Problem 4606

How many boxes are needed for 112 action figures if each box contains 8 figures? Use the formula 1128 \frac{112}{8} .

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Problem 4607

Find the missing fraction in the equation: 210+?=37100\frac{2}{10}+?=\frac{37}{100}. What is ???

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Problem 4608

Find the value of ? in the equation: 210+?=37100\frac{2}{10}+?=\frac{37}{100}.

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Problem 4609

A roller coaster moves up 100 m, down 72 m, and up 48 m in 20 seconds. What is its height change from the start?

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Problem 4610

A family of 6 paid a total of \$144 for a water park. What is the cost per person?

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Problem 4611

A bakeshop has 90 cups of flour. If 6 cups make 1 loaf, how many loaves can be made? Calculate: 906\frac{90}{6}.

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Problem 4612

Estimate 391×22391 \times 22 and explain your method. Also, calculate total costs for items: \$3.47, \$1.99, \$0.25, \$5.

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Problem 4613

Estimate the total cost of items priced at \$3.47, \$1.99, \$0.25, \$5.69, \$3.04, and \$12.49 without calculating exactly.

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Problem 4614

Calculate the product of 28.4 and 7.7: 28.4×7.728.4 \times 7.7.

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Problem 4615

A lawn mower uses 0.75 gallons in 50 minutes. How much does it use in 60 minutes?

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Problem 4616

Calculate the value of 40×63840 \times 638. Select the correct answer: A. 24,520 B. 24,220 C. 2,552 D. 25,520

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Problem 4617

Calculate 13+25+1302330\frac{\frac{1}{3}+\frac{2}{5}+\frac{1}{30}}{\frac{23}{30}}.

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Problem 4618

A lawn mower uses 0.75 gallons in 50 minutes. How many gallons does it use in 60 minutes?

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Problem 4619

Solve: 4 tens + 6 tens, 8 hundreds + 2 hundreds, 5 thousands + 7 thousands. Write answers in standard form.

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Problem 4620

Model 4+(9)4 + (-9) on the number line.

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Problem 4621

2 thousands + 12 hundreds = 2000+1200=32002000 + 1200 = 3200

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Problem 4622

Miguel has a \$50 gift card. He wants to buy 3 books at \$15.75 each. Is his estimate of needing \$60 reasonable?

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Problem 4623

Estimate if 22.8×4.7=107.1622.8 \times 4.7 = 107.16 is reasonable. Respond with yes or no, and give a better estimate if no.

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Problem 4624

Calculate 43.8×2.8×3.143.8 \times 2.8 \times 3.1 and verify if it equals 371.8371.8.

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Problem 4625

Estimate if the answers are reasonable. Write "yes" or "no" with a reasonable estimate.
21. 22.8×4.7=107.1622.8 \times 4.7=107.16
22. 2.1×4.92.1 \times 4.9
23. 7.8×1.1×4.2=507.8 \times 1.1 \times 4.2=50

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Problem 4626

Estimate if 2.1×4.9×7.2105.842.1 \times 4.9 \times 7.2 \approx 105.84 is reasonable. Answer yes or no, with a better estimate if no.

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Problem 4627

Estimate if the answer 21.22.8×4.7=107.16=115×12321.22 .8 \times 4.7=107.16=115 \times \frac{1}{23} is reasonable. Answer yes or no with a better estimate.

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Problem 4628

Estimate if 22.8×4.7=107.1622.8 \times 4.7 = 107.16 is reasonable. If not, state no and provide a reasonable estimate.

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Problem 4629

Estimate if the following products are reasonable: 22.8×4.722.8 \times 4.7 and 2.1×4.9×7.22.1 \times 4.9 \times 7.2. Write yes or no with an estimate.

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Problem 4630

Estimate if these answers are reasonable: 7.8×1.1×4.2=507.8 \times 1.1 \times 4.2=50 and 43.8×2.8×3.1=371.843.8 \times 2.8 \times 3.1=371.8.

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Problem 4631

Estimate if the answer is reasonable: 0.8×1.1×4.2=500.8 \times 1.1 \times 4.2 = 50. Write yes or no with a better estimate if no.

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Problem 4632

Miguel thinks $47.25\$ 47.25 is less than $50\$ 50. Estimate 43.8×2.8×3.143.8 \times 2.8 \times 3.1 and say if 371.8371.8 is reasonable.

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Problem 4633

Calculate the result of 8×(4)8 \times (-4).

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Problem 4634

What is the result of dividing -35 by -7? 35÷(7)=-35 \div(-7) =

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Problem 4635

What is the result of dividing -15 by 5? Calculate: 15÷5=-15 \div 5 =

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Problem 4636

Calculate the product of 3 and -7. What is 3×73 \times -7?

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Problem 4637

Kayla has a 20-quart jug of lemonade. Each cup holds 2342 \frac{3}{4} cups. How many cups can she fill?

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Problem 4638

Multiply 178-1 \frac{7}{8} by 29102 \frac{9}{10}.

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Problem 4639

Add or subtract the following decimals:
11. 4,235.09+3,378.4=4,235.09 + 3,378.4 =
12. 476.03302.3=476.03 - 302.3 =
13. 749.2+121.55=749.2 + 121.55 =
14. 8,949.311,683.06=8,949.31 - 1,683.06 =
15. 620.87+439.1=620.87 + 439.1 =

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Problem 4640

Calculate the following sums and differences:
11. 4,235.09+3,378.4=4,235.09 + 3,378.4 =
12. 476.03302.3=476.03 - 302.3 =
13. 749.2+121.55=749.2 + 121.55 =
14. 8,949.311,683.06=8,949.31 - 1,683.06 =
15. 620.87+439.1=620.87 + 439.1 =

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Problem 4641

Find the square roots of 155 and 300: 155\sqrt{155}, 300\sqrt{300}.

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Problem 4642

Calculate the following decimal subtractions:
1. 530.6207.05=530.6 - 207.05 =
2. 5,008.7491.2=5,008.7 - 491.2 =
3. 7,095.531,732.9=7,095.53 - 1,732.9 =
4. 1,012.34982.12=1,012.34 - 982.12 =
5. 940.8893.19=940.8 - 893.19 =

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Problem 4643

Find the mth roots of these numbers: (15) 125(n=3)125(n=3), (16) 32(m=5)-32(m=5), (17) 81(m=4)81(m=4), (18) 62516(n=4)\frac{625}{16}(n=4).

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Problem 4644

Find the greatest integer less than 286\sqrt{286} and 703\sqrt[3]{70}.

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Problem 4645

Beregn det oprindelige beløb for følgende: a) 89,30%89, 30\%; b) 32,52%32, 52\%; c) 178,7%178, 7\%; d) 85,98%85, 98\%; e) 142,42%142, 42\%; f) 22,64%22, 64\%.

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Problem 4646

Find the square roots of these numbers: 1) 2516\frac{25}{16}, 2) 1.96, 3) 0.25, 4) 49400\frac{49}{400}.

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Problem 4647

Mr. Two gave away half his cookies, then 14 more, and had 8 left. How many did he start with?

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Problem 4648

Beregn det oprindelige beløb for de angivne dele og procenter. Afrund til 2 decimaler.

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Problem 4649

Beregn potenserne uden lommeregner: a) 232^{3}, b) 323^{2}, c) 242^{4}, d) 131^{3}, e) 333^{3}, f) 212^{1}.

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Problem 4650

Indtast og beregn følgende potenser: a) 252^{5} b) 727^{2} c) 343^{4} d) 535^{3} e) 838^{3} f) 434^{3} g) 353^{5} h) 737^{3}.

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Problem 4651

Calculate the product of (72.169.44)(72.16 - 9.44) and 45.645.6. What is the result?

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Problem 4652

Find kvadratroden af disse tal: 144\sqrt{144}, 225\sqrt{225}, 400\sqrt{400}, 625\sqrt{625}, 256\sqrt{256}, 324\sqrt{324}.

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Problem 4653

Find kvadratroden af disse tal (afrund til 2 decimaler): a) 2\sqrt{2}, b) 26\sqrt{26}, c) \quad, d) 30\sqrt{30}, e) 21\sqrt{21}, f) 50\sqrt{50}.

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Problem 4654

Find kvadratroden af tallene med lommeregner: a) 144=\sqrt{144}=, b) 225=\sqrt{225}=, c) 400=\sqrt{400}=, d) 256=\sqrt{256}=, e) 625=\sqrt{625}=, f) 324=\sqrt{324}=.

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Problem 4655

Find kvadratroden af følgende tal (afrund til 2 decimaler): a) 2\sqrt{2}, b) 26\sqrt{26}, c) 30\sqrt{30}, d) 21\sqrt{21}, e) 50\sqrt{50}.

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Problem 4656

Skriv tallene som decimaltal gange en ti'er potens: a) 5.600.000=5.600.000= b) 27.000.000=27.000.000= c) 0,000005=0,000005= d) 0,0045=0,0045= e) 3.000.000.000=3.000.000.000= f) 0,023=0,023=

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Problem 4657

Oversæt disse tal til tekst: a) 4 millioner = b) 7,3 billioner = e) 2.300.000 = c) 2,3 milliard = f) 7.000.000.000.000 = d) 0,3 million = g) 4.700.000.000 = h) 4.050.000.000.000.000.000 =

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Problem 4658

Convert these decimals to fractions:
5. 0.8=0.\overline{8}=
6. 0.18=-0.\overline{18}=
8. 4.45=4.\overline{45}=

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Problem 4659

Convert the repeating decimals to simplest form:
1. 0.18=-0.\overline{18}=
2. 4.45=4.\overline{45}=

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Problem 4660

Find the low and high SDR for Medication A (150 mcg daily, weight 50 kg) and decide if it's appropriate to give. SDR: 2.53mcg/kg2.5-3 \mathrm{mcg} / \mathrm{kg}.

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Problem 4661

Wie viel kostet das Handy für Herr Schmit, wenn er 200200 € anzahlt und 24 Raten zu je 4040 € zahlt?

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Problem 4662

Berechne die MwSt, wenn der Nettoverkaufspreis eines Handys 10501050 € und der Bruttopreis 12001200 € beträgt.

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Problem 4663

Amelie hat 17501750 € auf einem Sparbuch mit 0,5%0,5 \% Zinsen. Wie viel bleibt nach 8 Monaten nach KESt. Abzug?

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Problem 4664

83 Jugendliche sind 83% der 3.Klasse. Wie viele Schüler sind in der 3.Klasse?

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Problem 4665

Round the following numbers to the nearest hundred: 432, 562, 1395, 3278.

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Problem 4666

27. Andrew was asked to solve the problem below.
He estimated a difference of 2000 in working out the problem. Explain why Andrew's estimate may not be reasonable and clearly show your estimate.

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Problem 4667

9. There are 33 teams in the youth football league. 29 of the teams have 15 players. The rest of the teams have 17 players. How many players are there In all?

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Problem 4668

The table shows how a 2-acre piece of land is split into 4 sections for holding animals. How many acres are used for horses? \begin{tabular}{|c|c|} \hline Goats & 35\frac{3}{5} acre \\ \hline Pigs & 15\frac{1}{5} acre \\ \hline Llamas & 25\frac{2}{5} acre \\ \hline Horses & ?? \\ \hline \end{tabular}
Number of Acres with Horses CLEAR CHECK \square \square

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Problem 4669

The table shows how a 3 -square-foot shelf is split into 6 sections for storing art materials. How many square feet are there for storing paint? \begin{tabular}{|c|c|} \hline Glue & 13\frac{1}{3} square foot \\ \hline Paper & 23\frac{2}{3} square foot \\ \hline Brushes & 13\frac{1}{3} square foot \\ \hline Markers & 13\frac{1}{3} square foot \\ \hline Scissors & 23\frac{2}{3} square foot \\ \hline Paint & ?? \\ \hline \end{tabular}
Number of Square Feet for Paint CLEAR CHECK \square \square

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Problem 4670

You were given 12 math problems for homework. You completed 512\frac{5}{12} of them at school. Which equation shows how to find the fraction of the problems you still need to do to complete your homework?
712512=20\frac{7}{12}-\frac{5}{12}=\frac{2}{0} CLEAR CHECK 712512=212\frac{7}{12}-\frac{5}{12}=\frac{2}{12} 1212512=70\frac{12}{12}-\frac{5}{12}=\frac{7}{0}

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Problem 4671

Javier read 712\frac{7}{12} of a book on Saturday, and 412\frac{4}{12} of the same book on Sunday. Which equation shows the fraction of the book that Javier read over the weekend? CLEAR CHECK 712+412=1112\frac{7}{12}+\frac{4}{12}=\frac{11}{12} 712412=30\frac{7}{12}-\frac{4}{12}=\frac{3}{0} 712+412=1124\frac{7}{12}+\frac{4}{12}=\frac{11}{24} 712412=312\frac{7}{12}-\frac{4}{12}=\frac{3}{12}

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Problem 4672

Which decimal is closest in value to the fraction below? 19\frac{1}{9} A. 0.7 B. 0.111 C. . 33333

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Problem 4673

4 Formula 20 points When measuring the height of a horse, a hand is 4 inches. How many hands tall is a horse that is 68 inches tall? Round your answer to the nearest tenths and do not type a unit in your answer.
Type your answer... \square

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Problem 4674

8. What is the quotient of 792 and 8 ?

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Problem 4675

The distance from your house to school is 56\frac{5}{6} mile. You have already biked 36\frac{3}{6} mile. Which equation shows how to find the distance you still need to travel to get to school? 56+36=812\frac{5}{6}+\frac{3}{6}=\frac{8}{12}

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Problem 4676

Add: 5+9+15+8=-5+-9+-15+8=
Submit

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Problem 4677

Add: 18+8+1+16+6318+-8+1+-16+-63
Submit

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Problem 4678

Add: 5+80+68=5+-80+68=
Submit

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Problem 4679

Add: 4+7+48=-4+-7+48= \square
Submit

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Problem 4680

On February 1, the balance in your account is \431.94.OnJuly1,youdeposit431.94. On July 1, you deposit \395.04 395.04. Your bank pays 6.5%6.5 \% interest that is calculated on the last day of the month. What is the amount in your account on July 1, after your deposit?

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Problem 4681

On Monday, Rebecca purchased 5235 \frac{2}{3} ounces of rice. On Friday, she purchased 4144 \frac{1}{4} ounces of rice.
What is a good estimate for the total ounces of rice Rebecca purchased on both days?
Rebecca's Purchase Log \begin{tabular}{|c|c|c|c|c|} \hline Monday & Tuesday & Wednesday & Thursday & Friday \\ \hline 5235 \frac{2}{3} & & & & 4144 \frac{1}{4} \\ ounces & & & & ounces \\ \hline \end{tabular} CLEAR CHECK
Pick the two closest whole numbers to the total. For both days, Rebecca purchased more than \square ounces and less than \square ounces of rice.

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Problem 4682

On Monday, Kristin ran 7357 \frac{3}{5} miles. On Thursday, she ran 5585 \frac{5}{8} miles. What is a good estimate for the total number of miles Kristin ran on both days?
Kristin's Running Log \begin{tabular}{|c|c|c|c|c|} \hline Monday & Tuesday & Wednesday & Thursday & Friday \\ \hline \begin{tabular}{c} 7357 \frac{3}{5} \\ miles \end{tabular} & & & 5585 \frac{5}{8} miles & \\ \hline \end{tabular} CLEAR CHECK
Pick the two closest whole numbers to the total. For both days, Kristin ran more than \square miles and less than \square miles.

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Problem 4683

Find 7.9÷27.9 \div 2
How many times does 2 go into 7 ?
7 \square times, with a remainder of ? \square

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Problem 4684

Marisa wants to make two recipes. One recipe calls for 12\frac{1}{2} cup of milk. The other recipe calls for 34\frac{3}{4} cup of milk. Marisa has 1 cup of milk.
Does Marisa have enough milk for both recipes? CLEAR CHECK
Both recipes together call for \square 1 cup of milk, so Marisa \square have enough milk.

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Problem 4685

How many 8 s in 72?72 ? How many 800 s in 72,000 ? How many 5 s in 450,000 ? How many 3,000 s in 270,000 ? How many 90 s in 63,000?63,000 ?

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Problem 4686

3. Study the number shown with a digit missing. 7.8 \qquad 4 7.847.8-4
Which digit could fill in the blank to make the number round to 7.85 when rounded to the nearest hundredth? (5.NBT.A.4) A. 2 (B) 3 C. 4 D. 5

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Problem 4687

On February 1, the balance in your account is $595.55\$ 595.55. On July 1, you deposit $332.69\$ 332.69. Your bank pays 6%6 \% interest that is calculated on the last day of the month. What is the amount in your account on July 1, after your deposit?

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Problem 4688

Writing Equivalent Fractions, Decimals, and Percents Complete the table below by finding the equivalent values of the given value in the forms requested. Simplify any fractions. \begin{tabular}{||c|c|c|c|c|} \hline Proper Fraction or Mixed \\ Number \end{tabular}

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Problem 4689

Marisa wants to make two recipes. One recipe calls for 12\frac{1}{2} cup of milk. The other recipe calls for 34\frac{3}{4} cup of milk. Marisa has 1 cup of milk.
Does Marisa have enough milk for both recipes? CLEAR CHECK
Both recipes together call for \square more than less than exactly 1 cup of milk, so Marisa does not v have enough milk.

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Problem 4690

64=6--4=

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Problem 4691

What is the best estimate of 1371 \frac{3}{7} plus 1451 \frac{4}{5} ?
Greater than 1 and less than 2 Greater than 2 and less than 3
Greater than 3 and less than 4 Greater than 4

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Problem 4692

What is the best estimate of 13+25\frac{1}{3}+\frac{2}{5} ? CLEAR CHECK
Less than 14\frac{1}{4} Greater than 14\frac{1}{4} and less than 12\frac{1}{2}
Greater than 12\frac{1}{2} and less than 1 Greater than 1 and less than 1121 \frac{1}{2}

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Problem 4693

What is the best estimate of 411+59\frac{4}{11}+\frac{5}{9} ?
Less than 12\frac{1}{2} Greater than 12\frac{1}{2} and less than 1
Greater than 1 and less than 1121 \frac{1}{2} Greater than 1121 \frac{1}{2}

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Problem 4694

5. Sophia got 68 points correct on her math test, which earned her an 85%85 \%. Her friend Tami scored 71 points on the same test. (a) How many total points were on the test? Show how you found your answer. (b) What percentage did Tami earn on the test? Round your answer to the nearest whole percent.

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Problem 4695

Here are some facts about units of weight. \begin{tabular}{|c|c|c|} \hline Unit & Symbol & Fact \\ \hline ounce & oz & \\ pound & lb & 1lb=16oz1 \mathrm{lb}=16 \mathrm{oz} \\ \hline ton & T & 1 T=2000lb1 \mathrm{~T}=2000 \mathrm{lb} \\ \hline \end{tabular}
Fill in the blanks. 2 T=lb9lb=oz\begin{array}{r} 2 \mathrm{~T}=\square \mathrm{lb} \\ 9 \mathrm{lb}=\square \mathrm{oz} \end{array}

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Problem 4696

Find the quotient and enter your answer in the space provided. 0.7836÷0.12=?0.7836 \div 0.12=?
Answer here

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Problem 4697

Finding an Amount Given a Percent and a Whole Solve the following percent problems. Round your results to four decimal places as needed.
What is 28%28 \% of 57 ? \square 1.86%1.86 \% of 6.16 is what amount? \square
What is 718%7 \frac{1}{8} \% of 1509?1509 ? \square 0.93%0.93 \% of 839 is what amount? \square

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Problem 4698

Finding a Whole Given a Percent and an Amount Solve the following percent problems. Round your results to two decimal places as needed. 63 is 76.83%76.83 \% of what number? 2.1%2.1 \% of what number is 17.52 ? 117\frac{11}{7} is 70%70 \% of what number? 173%173 \% of what number is 43 ?

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Problem 4699

(1) Find another name for 2342 \frac{3}{4}. - Show 2342 \frac{3}{4}. - Break apart 1 whole into 44\frac{4}{4}.
Name: \qquad

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Problem 4700

Write 1.34 as a mixed number. \square

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