86.3 ÷ 101 = 8.63 30 − (33 − 8) = 30 – (27 – 8) = 30 – 19 = 11 Anna hikes 6.4 miles during a 4-day vacation. Explanation: 1080/240 = 4 1.6 ÷ 4 = 0.4, Explanation: 13 – 9 = 4 $20.16/3 = $6.72, Question 19. ______ feet, Explanation: A shop sells vases holding 9 red roses and 6 white roses. 4.35 ÷ 5 Question 1. Solve all the problems and learn the easy methods of math practice. 9.28 x 10 = 92.8 32 ÷ 1,000 = 0.032, Explanation: The like terms are 5a and 2b, 3b 3.6 ÷ 4 24 pints are equivalent to 3 gallons. We get, 50 × 12 + 7 Explain how the position of the decimal point changes in a quotient as you divide by increasing powers of 10. Let n represents a pair of socks. Kendra bought a magazine for $3 and 4 paperback books for $5 each. Thus the expression to represent what each friend paid for dinner and the movie is 74 ÷ n + 11n, Question 11. Use your expression to find the difference in the mountains’ heights. 7 × 3p + 7 × 5q 5 ÷ 5 = 1 Answer: 1 whole in each group. Riley’s parents got a cell phone plan that has a $40 monthly fee for the first phone. The sum of my digits is 13. 6 hundredths ÷ 3 = 2 hundredths. Chelsea says the first step is to evaluate 12. The expression 88c + 12c + 34 gives the total cost for buying c sets of chairs and cushions. 7(3) + 5 = 21 + 5 = 26, Explanation: 6 × 9 = 54 square meters. Thus the perimeter of a square with 5 \(\frac{1}{2}\) inches is 2 inches greater than a square with a side length of 5 inches. There are 4 groups. The answer is 9 because 25% of 60 is 15 plus 60% of 60 is 36 so 36+15=51 and 60-51=9 Marco received a gift card. Type below: Now we have to find How much farther could a cheetah run in 20 seconds at top speed than a hippopotamus could 1 tenth = 10 hundredths. 4 (11) ÷ 2 = 44 ÷ 2 = 22 80/2 = 40 Write three equivalent algebraic expressions for the number of cards Angelica has now The Orchard Pie Company uses 95 pounds of apples to make 100 pies. Thus 12 peanuts are left in the bag. The shirts cost $12 each, and skirts cost $18 each. Check. Tell what the variable represents. _______ %, Explanation: 0.5 x 2 = 1.0 = 1 1 [/latex]\frac{1}{4}[/latex] + \(\frac{3}{4}\) Multiply. $228.85/23 = $9.95, Question 18. d. 2 × 4 × 4. Write an algebraic expression for the cost in dollars of entering the park and camping for n nights. Evaluate 5k + 6 for k = 4. Type below: That means we have to divide m by 7. 40 ounces = 2.5 pounds Connie paid $1.08 for pencils. Share your model among 7 equal groups. Mark all that apply P = 52 feet + 42 feet 50 x 2 = 100; 120 – 100 = 20; 20 < 50 3 ÷ 3 = 1 ones • Describe Aida’s error. 7n + 5 combine like term _____, Explanation: 1825 ÷ 7 = 26 inches 225 ÷ 101 = 22.5 _____, Explanation: a. Jerry takes trail mix on hikes. Simplify the expression by combining like terms. 28.8 ÷ 9 48 ÷ 6 = 8, Explanation: A new chair costs $88 and a new cushion costs $12. n ÷ 101 = 4.6 20 + 4 = 24 hundredths The erasers cost $0.08 each. 15 hundredths ÷ 3 = 5 hundredths. The unknown number is 1.28, Question 16. 54 hundredths − 54 hundredths = 0 hundredths 19 tenths ÷ 8 4 ÷ 4 = 1 _____________. 9 ones ÷ 8 30 ÷ 20 × 1/100 There are 25 tenths in 2.5. 12 hundredths shared among 2 groups as 6 hundredths. By enabling player identifier, you'll know the real person behind the nickname in your game. Emma bought it for 32 × 30 = 9 × 30 = 270 Type below: In second grade, pass out pre-made math scoring sheets. Word expression: Add 8 to the difference between 10 and 7. Museum admission costs $7, and tickets to the mammoth exhibit cost $5. 10 + 8 = 18 tenths Anh QuynhPhan. Adding the like terms 3p + 5p is 8p. Question 4. Thus the correct answer is option A. Bacteria are tiny, one-celled organisms that live almost everywhere on Earth. 3 × 8 − 3 ÷ 3 = 24 − 3 ÷ 3 There are 18 tenths in 1.8. 50 x 3 = 150; 162 – 150 = 12; 12 < 50 Let the unknown number = s. Options: Divide 0.42 ÷ 0.35 until you get remainder 0 The table at the right shows the prices of the items she wants to buy. The expression is 5(F − 32) ÷ 9 \(\frac{3}{4}\) + [/latex]\frac{5}{6}[/latex] ÷ [/latex]\frac{2}{3}[/latex] Write and evaluate an expression to find the combined area of the windows. Since 2 whole cannot be shared among 9 groups without regrouping, cut your model apart to show the tenths. The value of 35 is 343, Question 8. 6 more than the difference of b and 5 At a snack stand, drinks cost $1.50. Divide. Mathematically proficient students at various grade levels are able to identify relevant external mathematical resources, such as digital content located on a website, and use them to pose or solve problems. Bob used these steps to evaluate 3m − 3 ÷ 3 for m = 8. _________, Answer: 13.2 ÷ 0.6 What is the length of each piece? For b = 1 He missed the remained inches. 137 ones ÷ 14 225 ÷ 102 = 225/100 = 2.25 What are you asked to find? 16m = 16 × 9 = 144 days, Question 9. Thus the exponent is 1. 21.8 is closer to 20 Look for Structure At a bookstore, the expression 2c + 8g gives the cost in dollars of c comic books and g graphic novels. ■ ÷ 5 = 1.21 Over the years since I wrote the original unit, I’ve learned a good deal more about teaching multiplication to third graders from… 45 ÷ 9 = 5 There are 24 tenths in 2.4. 61 x 4 tenths = 244 tenths. Since ______ – ______ = ______ , the lanes are ______ meter(s) wider when there are 8 lanes than when there are 9 lanes. 6 ÷ 3 = 2 tenths Type below: Thus the difference between the height of the two mountains is 4456 meters. Ramon paid $3.25 for notepads. 9 ÷ 9 = 1 ones The expression is 4b – 1b + 3 2s = $37.60 Justify your answer Multiply within the parentheses. 2 Cut 0.24 to show groups of 0.04. It’s a mass of about 180-100 billion neurons. 24 hundredths Options: 3 × 3 × 4 × 4 The exponent of the repeated multiplication 3 × 3 is 32 Options: Each lane is ______ meters wide when there are 9 lanes. If each eraser had the same cost, how much did she spend for each eraser? Write an expression that represents the value, in cents, of n nickels. Divide. 2.5 21 is closer to 20 Jan is saving for a skateboard. Sophia spent $7.30 for school supplies. Explain what the expression 45 means and how to find its value. Question 11. Tell what the variable in your expression represents. 8 × 1 ones = 8 ones. So, 8.15, Question 6. So, 0.07, Question 16. _____________. ________, Explanation: b. Multiply. Given: Online homework and grading tools for instructors and students that reinforce student learning through practice and instant feedback. So far, she has read 30% of her goal. Let k represent Luke’s age. Write your answer using a remainder, a fraction, and a decimal. 6 x 5 tenths = 30 tenths. $ _______. Use this information for 1–2. Thus 74% is equivalent to the fraction \(\frac{37}{50}\), Question 5. c = 6x inches a. _____ kilograms, Explanation: The common term is 4. 222, Divide Decimals Lesson Check – Page No. 0.14)\(\overline { 0.91 }\) = _____, Explanation: 32/2.56 = 0.08 341 ÷ 1 = 341 8 -? = 302 23 tenths(s) cannot be shared among 33 groups without regrouping. Question 1. Place a decimal point in the quotient above the decimal point in the dividend. 11 is used as a factor 4 times. d. 61, Explanation: Multiply. _____________, Answer: 97 ones ÷ 27 17.5 ÷ _____ = 7 175 ÷ 25 = 7 (6 + 4) – 4 × 3 180/75 = 2 12 × (2 + 8) Divide: 42 ÷ 35 = 1; Type below: _____________, Explanation: Write an expression that can be used to find the number of gallons of paint Ritchie needs to buy. Now multiply 2 and 9. She uses all of her earnings to buy a shirt for $12.85 and some stickers for $0.65 each. Ella used 37.2 pounds of apples to make applesauce. 90 × 0.3 = 27 Elise pays $21.75 for 5 student tickets to the fair. Type below: What is a simpler form of the expression 8n + 5n? x = 1/2 2s + 13 + 15s Use estimation. 26.1 ÷ 6 = 26.1 ÷ 6.0 7m = 7 × 4 = 28, Question 10. Question 1. 3.72 pounds Write an expression to represent the approximate number of sunny days for any number of months. So, 2.8, Question 8. Question 1. 7.4/0.2 = 352 feet per hour, Question 23. Share 63 hundredths equally among the 7 groups. Sense or Nonsense Peter and Jade are using what they know about properties to write an expression equivalent to 2 × (n + 6) + 3. Multiply within the parentheses. 1 tenth remained. 40/16 = 2 341 ÷ 10 = ________ The expression 60h – 8h represents the air time in minutes available for talk and music. _____________, The number 2 is the repeated factor. Multiply – the product of 6 and q. Question 4. The expressions are _____________. 164 ÷ 2 = 82 A plant grew 23.8 inches over 8 weeks. A Chinese restaurant uses about 225 pairs of chopsticks each day. Explanation: 18/7.5 = 180/75 180/75 = 2 75 x 2 = 150; 180 – 150 = 30; 30 < 75 300/75 = 4 So, 2.4. 76 hundredths − 76 hundredths = 0 hundredths _____, Answer: _____________. 3a = 3 × 8 = 24 _____, Explanation: _____________. Explain his error. Martina signs up for the cell phone plan described at the right. Sugar = 66.7 kilograms Ali bought 2 white pieces and 8 blue pieces. 223 ÷ 100 = 2.23 Explanation: Question 11. r = d ÷ t The expression representing the giraffe’s distance from tree after s seconds, if the rate is 51 ft per second. Subtract. 1 tenth = 10 hundredths. 10 less than the quotient of g and 3 12 + 21 ÷ 3 + (22 × 0) 24 ÷ (7 − 5) 37 tenths − 35 tenths = 2 tenths 3.4 is closer to 5 Thus the correct answers are B and D. Question 6. k − \(\frac{1}{3}\)d 68.2 ÷ 102 = ________, Answer: Type below: 1825 ÷ 7 = 26 inches, Question 19. Write an expression to represent what each friend paid for dinner and the movie. Sum of n and 4n Explanation: 6)\(\overline { 8.94 }\) 7 ÷ 7 = 1 tenths Jasmine is buying beans. 2 ÷ 0.4 = 5, Explanation: Type below: If we know the variables, we can replace the variables with their values and then evaluate the expression. Price per square foot is $27 Questions, answers, and explanations, all together at one place. Given the expression 24g − 8h 1 ones = 10 tenths 3m + 6c + 3m P1 = 33 + 56 + 65 = 154 yards Multiply 3 book reports with b pages = 3b. Question 8. Marcus bought 4 packets of baseball cards and 4 packets of animal cards. 100 ÷ 20 = 5, Question 18. Thus the value for 17 – 2c is 3. That means 4b + 2b = 6b, Question 1. 1.24 1.7 x 10 = 17 410, Identify Equivalent Expressions – Page No. a. Hana orders 3 pairs of athletic socks and her friend, Charlie, order 2 pairs of athletic socks. _____________. The number 3 is repeated four times. \(\frac{3}{4}+\frac{5}{6} \div \frac{2}{3}\) = 2, Question 4. Divide. 21 – 4(5) = 21 – 20 = 1, Explanation: Answer: Divide. 4 – x + 5 So, the answer is about 10, Explanation: $2.16/$0.36 = 6 markers A package of dried apricots weighs 25.5 ounces. In the town of Pleasant Hill, there is an average of 16 sunny days each month. The expressions are _____________. Give an example of a real-world situation involving two unknown quantities. 4 × a = 4a 156 ÷ 1,000 = 0.156, Explanation: What percent of the bagels are cranberry? b. Hector also used a coupon for $1.00 off his purchase. Combine the like terms 4s + 9s = 13s, Question 3. 203/58 = 3.5 pounds, Question 25. 1 tenth = 10 hundredths. Write the factor for 33 120/50 = 2 35 tenths shared among 5 groups as 7 tenths. Divide: 300 ÷ 60 = 5; y2 + 13y − 8y = y2 + 5y, Question 5. 15 ÷ 1,000 = ________, Answer: 25 hundredths shared among 5 groups as 25 hundredths. He paid $1.35 for the apples. \(\frac{1}{2}\) ÷ 4 2 × (k2 − 2) = 2 × (62 − 2) 27 ÷ 9 = 3 The coefficient of each term is 6 and 1. _____ in, Explanation: How many pounds of flour are used in each loaf of bread? Type below: ■ = 1.55, Question 21. _____________, Explanation: ________ %. There are 1 one(s) and 6 tenth(s). Let a = 3x + 6 inches In grade 6, students studied whole-number exponents. How many pounds are equivalent to 40 ounces? 40 + 0.05m 7a − 4a = 24, Question 15. So, 1.45, Explanation: 5 x 5 hundredths = 25 hundredths. How many eggs hatch on the seventh day? Write an algebraic expression for the total number of pages Rachel will need to write. Find the car’s rate of speed in miles per hour. 16 more than the product of 5 and p F = 86 degrees Write the number of games using an exponent. Aida is making banners from a roll of paper that is 4.05 meters long. Multiply 5 four times. Type below: _____________. Since 2 whole cannot be shared among 5 groups without regrouping, cut your model apart to show the tenths. What is this amount written in standard form? Subtraction is the difference between 16 and 7. The bakery decides to make only 100 corn muffins on Tuesday. 15 ÷ 1 = ________ 0.95 pound Subtract. Multiply within the parentheses. 3(v + 2) + 7v ________, Answer: 32 tenths ÷ 6 Thus the expression is 4b + 3f. Question 11. 0 ones Reason Quantitatively Is the value of the variable in your expression restricted to a particular set of numbers? Shipping costs $7 for any order. Explanation: Question 11. 10h + 15 + 3h = 13h + 15, Question 6. 410.5 is closer to 396 420 ÷ 7 = 60 86.3 ÷ 101 = _____ The expression 15n + 12n + 100 represents the total cost in dollars for skis, boots, and a lesson for n skiers. Thus 7y + 7b + 3y and 7(y + b) + 3b are equivalent. _____________. _____ ÷ 0.25 = 7, Answer: 32.6 ÷ 4 Share the 24 tenths equally among the 8 groups. Question 5. 175 ÷ 10 = 17.5. 6 + 33 ÷ 9 Expression: 2 × (n + 6) + 3 _____________, Explanation: But he first multiplied and then subtracted 24 and 3. 4 groups. $3.25/$0.65 = 5 A. Use exponents to rewrite the expression. Question 3. Substitute the value d = 5 in the above expression 120 x 1 = 120; 180 – 120 = 60; 60 < 120 Type below: 7)\(\overline { 15.61 }\) _____________, Explanation: The expression 7p + 5p represents the cost in dollars for p people to visit the museum and attend the exhibit. Write the factor 4 times. 32 ÷ 10 = _____ 341 ÷ 1 = 341 She spent $3.00 for a notebook and $1.75 for a pen. Divide. He cuts the wire into 3 equal pieces. c. 2k 54 x 4 = 216; 243 – 216 = 27 < 54 1 whole remained. Rachel needs to write 3 book reports with b pages and 3 science reports with s pages during the school year. 57.4 ÷ 102 = 0.574, Explanation: 2.4 ÷ 3 = 0.8 Use the expression to find the amount Logan will earn if he delivers 45 floral arrangements in one week. Turns an unsecure link into an anonymous one! Practice more and learn more. 3.45 x 10 = 34.5 21 hundredths shared among 7 groups as 3 hundredths. Ian had 4 cases of comic books and 6 adventure books. 4 ones ÷ 2 54 hundredths ÷ 6 _______ problems. Interactive, animated maths dictionary for kids with over 600 common math terms explained in simple language. Use a whole number less than the dividend. Check. Which is the best estimate of the average number of inches the plant grew each week? 4 less than the sum of x and 5 Thus the value for 3x + 4y ÷ 2 is 41. When Debbie baby-sits, she charges $5 to go to the house plus $8 for every hour she is there. 8848 – h = 8848 meters – 4392 meters = 4456 meters 6 ones − 5 ones = 1 ones 384, Evaluate Algebraic Expressions and Formulas – Page No. 456 ÷ 100 = 456 Type below: The common terms are 5x and 2x AG Nope Not Today. Options: Explanation: What is the Celsius temperature for a Fahrenheit temperature of 122 degrees? 21t = 21 × 20 = 420 feet Add total amount = 2 × $10.50 + $18.25 + $0.75 The number 21 is the repeated factor. Use the distributive property. A. 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