# Expressions with Parentheses

Video solutions to help Grade 5 students learn how to compare and evaluate expressions with parentheses.

Common Core Standards: 5.OA.1, 5.OA.2, 5.NF.4a, 5.NF.6

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Common Core For Grade 5

## New York State Common Core Math Module 4, Grade 5, Lesson 10

Lesson 10 Problem Set

1. Write expressions to match the diagrams. Then evaluate.

2. Write an expression to match, then evaluate.
a. 1/6 the sum of 16 and 20.
b. Subtract 5 from 1/3 of 23.
c. 3 times as much as the sum of 3/4 and 2/6.
d. 2/5 of the product of 5/6 and 42.
e. 8 copies of the sum of 4 thirds and 2 more.
f. 4 times as much as 1 third of 8.

3. Circle the expression(s) that give the same product as 4/5 x 7. Explain how you know.

4. Use <, >, or = to make true number sentences without calculating. Explain your thinking.

5. Collette bought milk for herself each month and recorded the amount in the table below. For (a–c) write an expression that records the calculation described. Then solve to find the missing data in the table.
a. She bought 1/4 of July’s total in June.
b. She bought 3/4 as much in September as she did in January and July combined.
c. In April she bought 1/2 gallon less than twice as much as she bought in August.
d. Display the data from the table in a line plot.
e. How many gallons of milk did Collette buy from January to October?

Lesson 10 Homework

1. Write expressions to match the diagrams. Then evaluate.

3. Write an expression to match, then evaluate
1/8 the sum of 23 and 17.

Lesson 10 Homework

This video shows how to create, compare and evaluate expressions that include fractions and whole numbers. Parentheses are also introduced.

1. Write expressions to match the diagrams. Then evaluate.

2. Circle the expression(s) that give the same product as 6 ×1 3/8. Explain how you know.

3. Write an expression to match, then evaluate.
a. 1/8 the sum of 23 and 17.
e. 7 copies of the sum of 8 fifths and 4.

4. Use <, >, or = to make true number sentences without calculating. Explain your thinking.
a. 2/3 x (9 + 12) _____ 15 x 2/3

Homework Questions 1 and 2

Homework Questions 3 and 4

Homework Question 5

5. Fantine bought flour for her bakery each month and recorded the amount in the table to the right. For (a–c) write an expression that records the calculation described. Then solve to find the missing data in the table.
a. She bought 4/5 of January’s total in August.
b. She bought 7/8 as much in April as she did in October and July combined.
c. In June she bought 3/5 pound less than six times as much as she bought in May.
d. Display the data from the table in a line plot.
e. How many pounds of flour did Fantine buy from January to October?

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