# 6.7 and *6.5c - Add, Subtract, Multiply, Divide Decimals

6.7  The student will solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of decimals.

6.5  The student will

c)  solve multistep practical problems involving addition, subtraction, multiplication, and division of decimals.

Bloom's Level:  Apply

### BIG IDEAS

• I can figure the cost of a meal from a menu, make change after a purchase, and determine how many shelves can be made from a length of board.
• I will better understand working with money and measurement.

### UNDERSTANDING THE STANDARD

• Different strategies can be used to estimate the result of computations and judge the reasonableness of the result. For example: What is an approximate answer for 2.19 ÷ 0.8? The answer is around 2 because 2 ÷ 1 = 2.
• Understanding the placement of the decimal point is very important when finding quotients of decimals. Examining patterns with successive decimals provides meaning, such as dividing the dividend by 6, by 0.6, by 0.06, and by 0.006.
• Solving multistep problems in the context of real-life situations enhances interconnectedness and proficiency with estimation strategies.
• Examples of practical situations solved by using estimation strategies include shopping for groceries, buying school supplies, budgeting an allowance, deciding what time to leave for school or the movies, and sharing a pizza or the prize money from a contest.

·  A multistep problem is a problem that requires two or more steps to solve.

·  Different strategies can be used to estimate the result of computations and judge the reasonableness of the result.

-  Example: What is an approximate answer for 2.19 ¸ 0.8? The answer is around 2 because
2.19  0.8 is about 2 ¸ 1 = 2.

·  Understanding the placement of the decimal point is important when determining quotients of decimals. Examining patterns with successive decimals provides meaning, such as dividing the dividend by 6, by 0.6, and by 0.06.

·  Solving multistep problems in the context of practical situations enhances interconnectedness and proficiency with estimation strategies.

·  Examples of practical situations solved by using estimation strategies include shopping for groceries, buying school supplies, budgeting an allowance, and sharing the cost of a pizza or the prize money from a contest.

### ESSENTIALS

• What is the role of estimation in solving problems? Estimation gives a reasonable solution to a problem when an exact answer is not required. If an exact answer is required, estimation allows you to know if the calculated answer is reasonable.

The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to

6.71  Solve single‐step and multi‐step practical problems involving addition, subtraction, multiplication, and division with decimals expressed to thousandths with no more than 2 operations.

·  6.5c1  Solve multistep practical problems involving addition, subtraction, multiplication and division with decimals. Divisors are limited to a three-digit number, with decimal divisors limited to hundredths.

### KEY VOCABULARY

approximate, reasonableness, repeating decimals, terminating decimals, deposit, withdrawal, budget, allowance, decimal, division, quotient, dividend, divisor, remainder, multiplication, factor, product, addition, sum, subtraction, difference, tenths, hundredths, thousandths

Updated: Oct 27, 2017