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Texas Go Math Grade 5 Lesson 7.4 Answer Key Simplify Numerical Expressions

Refer to our Texas Go Math Grade 5 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 5 Lesson 7.4 Answer Key Simplify Numerical Expressions.

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A cake recipe calls for 4 cups of flour and 2 cups of sugar. To triple the recipe, how many cups of flour and sugar are needed in all?

Each batch of cupcakes Lena makes uses 3 cups of flour, 1 cup of milk, and 2 cups of sugar. Lena wants to make 5 batches of cupcakes. How many cups of flour, milk, and sugar will she need in all? Write the expression. 5 × (3 + 1 + 2) I First, perform the operations in parentheses. 5 × (_________) Then multiply. _________ So, Lena will use _________ cups of flour, milk, and sugar in all. Answer: The expression is 5 x (3 + 1 + 2). I First, perform the operations in parentheses. 5 × (3 + 1 + 2) 5 x (6) Then multiply. 5 x 6 30 So, Lena will use 30 cups of flour, milk, and sugar in all. Explanation: Each batch of cupcakes Lena makes uses 3 cups of flour, 1 cup of milk, and 2 cups of sugar. Lena wants to make 5 batches of cupcakes. The expression is 5 × (3 + 1 + 2). First perform the operations in parentheses. Add 3 with 1 and 2 the sum is 6. Then multiply 5 with 6 the product is 30. So, Lena will use 30 cups of flour, milk, and sugar in all.

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Simplify the numerical expression.

Question 1. 10 + 36 ÷ 9 Think: I need to divide first. Answer: 10 + 36 ÷ 9 10 + 4 14 Explanation: The numerical expression is 10 + 36 ÷ 9. First I divided 36 by 9 the result is 4. Then I added 10 with 4 the sum is 14. The simplified form of the given numerical expression is 14.

Simplify Numerical Expressions Go Math Grade 5 Answer Key Pdf Question 2. 10 + (25 – 10) ÷ 5 Answer: 10 + (25 – 10) ÷ 5 10 + 15 ÷ 5 10 + 3 13 Explanation: The numerical expression is 10 + (25 – 10) ÷ 5. First I Subtracted 10 from 25 then the difference is 15. Next, I divided 15 by 5 the result is 3. Then I added 10 with 3 the sum is 13. The simplified form of the given numerical expression is 13.

Question 3. 9 – (3 × 2) + 8 Answer: 9 – (3 × 2) + 8 9 – (6) + 8 3 + 8 11 Explanation: The numerical expression is 9 – (3 × 2) + 8. First I multiplied 3 with 2 the product is 6. Next I subtracted 6 from 9 the difference is 3. Then I added 3 with 8 the sum is 11.The simplified form of given numerical expression is 11.

Math Talk Mathematical Processes

Raina simplified the expression 5 × 2 + 2 by adding first and then multiplying. Will her answer be correct? Explain. Answer: 5 × 2 + 2 5 x 4 20 No, her answer is 20 it is not correct. The correct answer is 12. Explanation: Raina simplified the expression 5 × 2 + 2 by adding first and then multiplying. Her answer will not be correct. Because Raina has to perform multiplication first and then adding.

Problem Solving

Question 4. H.O.T. Use Symbols Write 12 + 17 – 3 × 2 with parentheses so it has a value of 23. Answer: One type: 12 + 17 – (3 x 2) 12 + 17 – 6 29 – 6 23 Another type: (12 + 17) – 3 x 2 29 – 6 23 Explanation: The parentheses for the expression 12 + 17 – 3 × 2 is 12 + 17 – (3 x 2) or (12 + 17) – 3 x 2. By solving this numerical expression with parentheses the value is 23.

Go Math Expressions Grade 5 Pdf Answer Key Lesson 7.4 Question 5. Multi-Step The value of 100 – 30 ÷ 5 with parentheses can have a value of 14 or 94. Explain. Answer: One type: 100 – (30 ÷ 5) 100 – 6 94 The value of the given expression with the above parentheses is 94. 100 – (30 ÷ 5) 70 ÷ 5 14 The value of the given expression with the above parentheses is 14. Explanation: The two possible ways of the given expression with parentheses is 100 – (30 ÷ 5), 100 – (30 ÷ 5). By solving these two expression the values is 94 and 14.

a. What do you need to know? Answer: We need to know the total seats in the movie theater.

b. What operation can you use to find the number of seats in the back group of seats? Write the expression. Answer: The expression is 5 x 30 . 150 Explanation: Multiplication operation is used to find the number of seats in the back group of seats. A group of seats in the back has 5 rows, with 30 seats in each row. The expression is 5 x 30. There are 150 seats in the back group of seats.

c. What operation can you use to find the number of seats in both groups of side seats? Write the expression. Answer: The expression is 2 x (20 x 6) . 2 x 120 240 Explanation: Multiplication operation is used to find the number of seats in both groups of side seats. There are 2 smaller groups of seats on the sides, each with 20 rows and 6 seats in each row. The expression is 2 x (20 x 6). There are 240 seats in both groups of side seats.

d. What operation can you use to find the number of seats in the middle group? Write the expression. Answer: The expression is 20 x 20 . 400 Explanation: Multiplication operation is used to find the number of seats in the middle group. The largest group of seats, in the middle, has 20 rows, with 20 seats in each row. The expression is 20 x 20. There are 400 seats in the middle group.

e. Write an expression to represent the total number of seats in the theater. Answer: The expression to represent the total number of seats in the theater is (20 x 20) + 2 x (20 x 6) + (5 x 30).

f. How many seats are in the theater? Show the steps you use to solve the problem. Answer: (20 x 20) + 2 x (20 x 6) + (5 x 30) 400 + 2 x 120 + 150 400 + 240 + 150 790 The total number of seats in the theater is 790.

Simplifying Numerical Expressions Lesson 7.4 Answer Key 5th Grade Question 7. Multi-Step In the wild, an adult giant panda eats about 30 pounds of food each day. Write and simplify a numerical expression that shows how many pounds of food 6 pandas eat in 3 days. Answer: 3 x (6 x 30) 3 x 180 540  In 3 days 6 pandas eat 540 pounds of food. Explanation: In the wild, an adult giant panda eats about 30 pounds of food each day. The numerical expression for the 6 pandas eats food in 3 days is 3 x (6 x 30). In 3 days 6 pandas eat 540 pounds of food.

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Texas Go Math Grade 5 Lesson 7.4 Homework and Practice Answer Key

Question 1. 10 – (2 × 4) + 12 Answer: The given expression is 10 – (2 × 4) + 12. 10 – 8 + 12 2 + 12 14 Explanation: The given expression is 10 – (2 × 4) + 12. First simplify the values within the parentheses. Multiply 2 with 4 the product is 8. Then subtract 8 from 10 then the difference is 2. Then add 2 with 12 the sum is 14. The simplified form of given numerical expression is 14.

Question 2. 14 + 35 ÷ 7 Answer: The given expression is 14 + 35 ÷ 7. 14 + 5 19 Explanation: The given expression is 14 + 35 ÷ 7. First, divide 35 by 7 the result is 5. Then add 5 with 14 the sum is 19. The simplified form of the given numerical expression is 19.

5th Grade Go Math Expressions Grade 5 Answer Key Lesson 7.4 Question 3. 11 + (31 – 4) ÷ 9 Answer: The given expression is 11 + (31 – 4) ÷ 9. 11 + 27 ÷ 9 11 + 3 14 Explanation: The given expression is 11 + (31 – 4) ÷ 9. First, simplify the values within the parentheses. Subtract 4 from 31 the difference is 27. Then divide 27 by 9 the result is 3. Then add 11 with 3 the sum is 14. The simplified form of the given numerical expression is 14.

Question 4. 25 – 4 × 5 Answer: The given expression is 25 – 4 × 5. 25 – 20 5 Explanation: The given expression is 25 – 4 × 5. First multiply 4 with 5 the product is 20. Then subtract 20 from 25 the difference is 5. The simplified form of given numerical expression is 5.

Question 5. 3 × (6 + 3) – 15 Answer: The given expression is 3 × (6 + 3) – 15. 3 x 9 – 15 27 – 15 12 Explanation: The given expression is 3 × (6 + 3) – 15. First simplify the values within the parentheses. Add 6 with 3 the sum is 9. Then multiply 3 with 9 the product is 27. Subtract 15 from 27 the difference is 12. The simplified form of given numerical expression is 12.

Question 6. 30 – 14 ÷ 2 Answer: The given expression is 30 – 14 ÷ 2. 30 – 7 23 Explanation: The given expression is 30 – 14 ÷ 2. First divide 14 by 2 the result is 7. Then subtract 7 from 30 the difference is 23. The simplified form of given numerical expression is 23.

Rewrite the expression with parentheses to equal the given value.

Question 7. 12 + 6 ÷ 2 + 4; value: 13 Answer: The given expression is 12 + 6 ÷ 2 + 4. Rewrite the expression with parentheses. 12 + 6 ÷ (2 + 4) 12 + 6 ÷ 6 12 + 1 13 Explanation: The given expression 12 + 6 ÷ 2 + 4 had rewrite with parentheses 12 + 6 ÷ (2 + 4) to equal to the given value. The given expression with parentheses is equal to the given value 17.

Go Math Grade 5 Practice and Homework Lesson 7.4 Answer Key Question 8. 42 – 24 ÷ 6; value: 3 Answer: The given expression is 42 – 24 ÷ 6. Rewrite the expression with parentheses. (42 – 24) ÷ 6 18 ÷ 6 3 Explanation: The given expression 42 – 24 ÷ 6 had rewritten with parentheses (42 – 24 )÷ 6 to equal to the given value. The given expression with parentheses is equal to the given value 17.

Question 9. 9 + 16 – 2 × 4; value: 17 Answer: The given expression is 9 + 16 – 2 × 4. Rewrite the expression with parentheses. 9 + 16 – (2 × 4) 9 + 16 – 8 9 + 8 17 Explanation: The given expression 9 + 16 – 2 × 4 had rewrite with parentheses  9 + 16 – (2 × 4) to equal to the given value. The given expression with parentheses is equal to the given value 17.

Question 10. 60 – 3 + 2 × 5; value: 35 Answer: The given expression is 60 – 3 + 2 × 5. Rewrite the expression with parentheses. 60 – (3 + 2) × 5 60 – 5 x 5 60 – 25 35 Explanation: The given expression 60 – 3 + 2 × 5 had rewrite with parentheses  60 – (3 + 2) × 5 to equal to the given value. The given expression with parentheses is equal to the given value 35.

Question 11. 18 + 9 ÷ 3; value: 21 Answer: The given expression is 18 + 9 ÷ 3. Rewrite the expression with parentheses. 18 + (9 ÷ 3) 18 + 3 21 Explanation: The given expression 18 + 9 ÷ 3 had rewrite with parentheses 18 + (9 ÷ 3) to equal to the given value. The given expression with parentheses is equal to the given value 21.

Go Math Grade 5 Practice and Homework Lesson 7.4 Question 12. 5 × 2 + 4 + 3; value: 45 Answer: The given expression is 5 × 2 + 4 + 3. Rewrite the expression with parentheses. 5 × (2 + 4 + 3) 5 x 9 45 Explanation: The given expression 5 × 2 + 4 + 3 had rewrite with parentheses 5 × (2 + 4 + 3) to equal to the given value. The given expression with parentheses is equal to the given value 45.

Question 13. Julian paid his library fines. He paid $2 each for 4 overdue books and $16 for a lost book. Write and simplify a numerical expression that shows how much Julian paid in library fines. Answer: The numerical expression is as below. $2 x 4 +$16  $8 + $16 $24 Julian paid $24 in library fines. Explanation: Julian paid his library fines. He paid $2 each for 4 overdue books and $16 for a lost book. The numerical expression is $2 x 4 + $16. The simplified form of numerical expression value is $24. Julian paid $24 in library fines.

Question 14. For 5 days in a row last week, Addison read 9 pages of a poetry book and 16 pages of her favorite novel. Write and simplify a numerical expression that shows how many pages Addison read last week. Answer: 5 x (9 + 16) 5 x 25 125 Addison read 125 pages last week. Explanation: For 5 days in a row last week, Addison read 9 pages of a poetry book and 16 pages of her favorite novel. The numerical expression is 5 x (9 + 16). The simplified form of numerical expression value is 125. Addison read 125 pages last week.

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• \(\large \frac{4}{5} \times \frac{1}{2} =\)
• \(\large \frac{3}{4} \times \frac{1}{3} =\)
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Nora has a piece of ribbon that is \(\large \frac{3}{4}\) yard long. She will use \(\large \frac{1}{2}\) of it to make a bow. What length of the ribbon will she use for the bow?

Marlon bought \(\large \frac{7}{8}\) pound of turkey at the deli. He used \(\large \frac{2}{3}\) of it to make sandwiches for lunch. How much of the turkey did Marlon use for sandwiches?

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