Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 7 Lesson 7.2 Using Parentheses and Brackets regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 7 Lesson 7.2 Using Parentheses and Brackets Answers Key
Parentheses, brackets, and braces can be used to show that one part of a mathematical expression should be solved before the rest of the equation.
Calculate the numbers in parentheses first.
2 × (3 × 15) =
2 × 45 = 90
When a problem has a combination of parentheses, brackets, and braces, work the problem from the inside out.
[(3 x 5) × 2] + 6 =
[15 + 2] + 6 =
17 + 6 = 23
Find the value of each expression.
Question 1.
a. (7 × 5) × 2 = ____________
Answer:
70
Explanation:
Given,
(7 × 5) × 2
As, we know that Parentheses, brackets, and braces can be used to show that one part of a mathematical expression should be solved before the rest of the equation.
Calculate the numbers in parentheses first.
7 x 5 = 35
Then calculate the next terms in the equation.
35 x 2 = 70
b. (135 + 30) + 17 = _____________
Answer:
182
Explanation:
Given,
(135 + 30) + 17
As, we know that Parentheses, brackets, and braces can be used to show that one part of a mathematical expression should be solved before the rest of the equation.
Calculate the numbers in parentheses first.
(135 + 30) = 165
Then calculate the next terms in the equation.
165 + 17 = 182
Question 2.
a. (190 + 70) + 30 = _____________
Answer:
290
Explanation:
Given,
(190 + 70) + 30
As, we know that Parentheses, brackets, and braces can be used to show that one part of a mathematical expression should be solved before the rest of the equation.
Calculate the numbers in parentheses first.
(190 + 70) = 260
Then calculate the next terms in the equation.
260 + 30 = 290
b. [(11 × 7) × 5] × 6 = ______________
Answer:
2,310
Explanation:
When a problem has a combination of parentheses, brackets, and braces, work the problem from the inside out.
Given,
[(11 × 7) × 5] × 6
= [77× 5] × 6
= 385 x 6
= 2,310
Question 3.
a. {[5 × (6 – 1)] + 23} + 17 = ____________
Answer:
65
Explanation:
When a problem has a combination of parentheses, brackets, and braces, work the problem from the inside out.
Given,
{[5 × (6 – 1)] + 23} + 17
= {[5 × 5] + 23} + 17
= {25+ 23} + 17
= 48 + 17
= 65
b. [25 × (8 + 2)] × 2 = ____________
Answer:
500
Explanation:
When a problem has a combination of parentheses, brackets, and braces, work the problem from the inside out.
Given,
[25 × (8 + 2)] × 2
= [25 × 10] × 2
= 250 × 2
= 500
Question 4.
a. (1245 + 132) + 50 = ______________
Answer:
1,427
Explanation:
Given,
(1245 + 132) + 50
As, we know that Parentheses, brackets, and braces can be used to show that one part of a mathematical expression should be solved before the rest of the equation.
Calculate the numbers in parentheses first.
(1245 + 132) = 1,377
Then calculate the next terms in the equation.
1,377 + 50 = 1,472
b. (130 × 3) × 5 = ______________
Answer:
1,950
Explanation:
Given,
(130 × 3) × 5
As, we know that Parentheses, brackets, and braces can be used to show that one part of a mathematical expression should be solved before the rest of the equation.
Calculate the numbers in parentheses first.
(130 × 3) = 390
Then calculate the next terms in the equation.
390 x 5 = 1,950
Question 5.
a. {70 + [5 × (2 + 2)]} + 35 = ______________
Answer:
125
Explanation:
When a problem has a combination of parentheses, brackets, and braces, work the problem from the inside out.
Given,
{70 + [5 × (2 + 2)]} + 35
= {70 + [5 × 4} + 35
= {70 + 20} + 35
= 90 + 35
= 125
b. [4 × (3 × 5)] × 93 = ______________
Answer:
5,580
Explanation:
When a problem has a combination of parentheses, brackets, and braces, work the problem from the inside out.
Given,
[4 × (3 × 5)] × 93
= [4 × 15] × 93
= 60 × 93
= 5,580
Question 6.
a. (25 + 17) + 3 = _____________
Answer:
45
Explanation:
Given,
(25 + 17) + 3
As, we know that Parentheses, brackets, and braces can be used to show that one part of a mathematical expression should be solved before the rest of the equation.
Calculate the numbers in parentheses first.
(25 + 17) = 42
Then calculate the next terms in the equation.
42 + 3 = 45
b. 175 + {32 + [(3 + 4) × 2]} = ______________
Answer:
221
Explanation:
Given,
175 + {32 + [(3 + 4) × 2]}
When a problem has a combination of parentheses, brackets, and braces, work the problem from the inside out.
175 + {32 + [7 × 2]}
= 175 + {32 + 14}
= 175 + 46
= 221