Solve a multi-step problem involving decimal numbers
Objectives
Student will be able to:
use order of operations to solve a problem involving decimal numbers.
solve a multi-step word problem involving decimal numbers.
Introduction
The order of operations is a series of steps to follow when simplifying expressions involving more than one operation. Order of operations insures that only one value exists for a given expression.
Always follow the order of operations below when simplifying expressions.
Step 1: Simplify expressions within parentheses.
Step 2: Multiply and divide, left to right.
Step 3: Add and subtract, left to right.
Exercises
Complete the exercises. Show all work.
1.
Use order of operations to simplify the following expression.
0.66
Check student's work.
1
.
Correct
Incorrect
Not Assigned
2.
Simplify the expression below using order of operations.
203
Check student's work.
2
.
Correct
Incorrect
Not Assigned
3.
Carol and Tim simplify the expression below. Carol thinks the answer is 27.376, but Tim thinks the answer is 11.248. Which student is correct?
Carol is correct.
Check student's work.
3
.
Correct
Incorrect
Not Assigned
4.
Steve has nine quarters, seven dimes, eight nickels, and three pennies in his pocket. He purchases a drink for $1.75 plus $0.11 for tax. How much money does Steve have left in his pocket?
Steve has $1.52 left in his pocket.
Check student's work.
4
.
Correct
Incorrect
Not Assigned
5.
A rectangular garden has a length of 18.27 meters and a width of 9.4 meters. If the length of the garden is decreased by 2.17 meters and the width of the garden is halved, what is the difference in the area of the garden? Write an expression and use order of operations to solve. Hint:
The area of the garden is reduced by 96.068 square meters.
Student's expression may vary.
Check student's work.
5
.
Correct
Incorrect
Not Assigned
Use order of operations to match each numerical expression with its correctly simplified form.
Numerical Expression
Simplified Form
6.
a.
235.625
7.
b.
325
8.
c.
113.75
9.
d.
33.8
10.
e.
1.3
Answer: 6-d, 7-c, 8-a, 9-e, 10-b,