Applying operations with rational numbers

- ​Start new section (new paper) of math notes

​

​

- Please, take out whiteboard, marker and eraser​

Open Ended

How can you solve problems involving multiplication

and division of fractions and decimals?

Multiple Select

Select the rational numbers

• 4

• 13.33

• $$\frac{3}{4}$$  

• -3

Makana earned $54 mowing lawns in two days. He worked 2.5 hours yesterday and 4.25 hours today. If Makana was paid the same amount for every hour he works, how much did he earn per hour?

Example:

• When you solve a word problem involving rational numbers, you often need to think about the problem to decide which operations to use

Interpreting a word problem

• The total amount he earned divided by the total hours he worked

gives the amount he earns per hour.

• Use the expression 54 ÷ (2.5 + 4.25) to find the amount she earned

per hour.

Formulate a plan

Identify the important information.

• Makana made $54 mowing lawns.

• Makana worked 2.5 hours yesterday and 4.25 hours today.

• You are asked to find how much he earned per hour.

Analyze information

Makana earned $54 mowing lawns in two days. He worked 2.5 hours yesterday and 4.25 hours today. If Makana was paid the same amount for every hour he works, how much did he earn per hour?

WRITE IN NOTES

You added 2.5 and 4.25 first to find the total number of hours worked.

Then you divided 54 by the sum to find the amount earned per hour.

Justify and Evaluate

Follow the order of operations.

(2.5 + 4.25) = 6.75 Add inside parentheses.

54 ÷ 6.75 = 8. Divide.

​Makana earned $8 per hour mowing lawns.

Solve

Makana earned $54 mowing lawns in two days. He worked 2.5 hours yesterday and 4.25 hours today. If Makana was paid the same amount for every hour he works, how much did he earn per hour?

WRITE IN NOTES

Reorder

After reading the problem, order the steps to solving a word problem? Hint: refer to notes

• Analyze information

• Formulate a plan

• Solve

• Justify and evaluate

1

2

3

4

• 1
• 2
• 3
• 4

Multiple Choice

Anela earned $60 washing cars in two days. She worked 1.5 hours

yesterday and 3.25 hours today. Anela was paid the same amount for

every hour she works, how much did she earn per hour? Hint: Analyze, Plan, Solve, Justify and Evaluate.

• $12.63

• $13.00

• $11.11

• $8.00

Poll

What do you prefer?

• Washing Car

• Mowing Lawn

• Homework

• Washing Dishes

Open Ended

What was the last thing you or anyone you know bought at the store? How can you count money?

Converting Fractions and Decimals to Solve Problems

Each part of a multipart question on a test is worth the same number of

points. The whole question is worth 37.5 points. Kai got 1/2 of the parts of a question correct. How many points did Kai receive?

Multiple Select

The bill of a pizza at Dominos was $14.50. Michelle paid for 3/5 of the bill. What are two ways to find out how much she paid?

• $$\frac{3}{5}\times\frac{29}{2}=\frac{87}{10}.\ 87\div10=$$  

• $$\frac{3}{5}=0.60.\ 0.60\times14.50=$$  

• $$14.50-3.50=$$  

• $$14\frac{1}{2}-\frac{3}{5}=$$  

Poll

What is your favorite pizza restaurant?

• Dominos

• Pizza Hut

• Boogie Woogie Pizza

Multiple Choice

Keanu and Kalani are taking a road trip from Pahoa to Kona. The trip is 93 miles. Kalani drove 5/8 of the total distance. How many miles did Kalani drive?

• 58.125 miles

• 58 miles

• 58.58 miles

• 59 miles

Multiple Choice

To prepare for a race, Lloyd ran every day for two weeks. He wan a total of 67,592 meters. Lloyd ran the same distance everyday. He took a two-day rest and then started running again. The first day after his rest, he ran the same distance plus 1,607.87 meters more. How far did Lloyd run that day?

• 6,444.87 meters

• 6,435.78 meters

• 6,435.87 meters

• 6,453.87 meters

​Lloyd ran every day for two weeks. He ran a total of 67,592 meters. Lloyd ran the same distance everyday. He took a two-day rest and then started running again. The first day after his rest, he ran the same distance plus 1,607.87 meters more. How far did Lloyd run that day?

Open Ended

What is the most difficult part of solving word problems?