All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 5 Lesson 4 Interpreting Numerical Expressions are as per the latest syllabus guidelines.
McGraw-Hill Math Grade 5 Answer Key Chapter 5 Lesson 4 Interpreting Numerical Expressions
Solve.
Write an expression for each group of steps. Remember the Order of Operations.
Question 1.
Multiply 3 times 2 squared and then subtract the product from 12.
12 – (3 × 22)
Question 2.
Divide 18 by 2 and then subtract the quotient from 22.
Answer:
22 – (18÷2) = 13.
Explanation:
Here, we need to divide 18 by 2 and then subtract the quotient from 22. So the expression will be 22 – (18÷2)
= 22 – 9
= 13.
Question 3.
Multiply the difference between 5 and 2 by 3 squared.
Answer:
(5-2) × 32 = 27.
Explanation:
Here, we need to multiply the difference between 5 and 2 by 3 squared. So (5-2) × 32
= 3 × 9
= 27.
Question 4.
Find the product of 6 and 9, then add 3.
Answer:
(6×9) + 3 = 57.
Explanation:
Here, we need to find the product of 6 and 9, then add 3. So (6×9) + 3 which is
= 54 + 3
= 57.
Write a description for each expression.
Question 5.
(4 + 2)2 × (5 × 2)
Answer:
The addition of 4 and 2 which is squared and multiplied with the product of 5 and 2.
Explanation:
Given the expression is (4 + 2)2 × (5 × 2) which is
= (6)2 × (10)
= 36 × 10
= 360.
So it will be the addition of 4 and 2 which is squared and multiplied with the product of 5 and 2.
Question 6.
6 × (5 × 3) – 50
Answer:
6 × (5 × 3) – 50 = 40.
Explanation:
Given the expression is 6 × (5 × 3) – 50 which is
= 6 × (15) – 50
= 90 – 50
= 40.
So it will be the product of 5 and 3 multiplied and then subtract 50.
Question 7.
32 × 22 + (5 × 4)
Answer:
32 × 22 + (5 × 4) = 56.
Explanation:
Given the expression is 32 × 22 + (5 × 4) which is
= 9 × 4 + 20
= 36 + 20
= 56.
So it will be, multiply three squared and two squared and then add the product of 5 and 4.
Write < or >. Show how to simplify the expressions.
Question 8.
(45 ÷ 9) × 7 ____ 24 × 3 – 30
Answer:
(45 ÷ 9) × 7 < 24 × 3 – 30.
Explanation:
Given the expression is (45 ÷ 9) × 7 ____ 24 × 3 – 30 which is
= 5 × 7 ____ 72 – 30
= 35 < 42.