Applying Operations with Rational Numbers

The video tutorial covers applying rational number operations, focusing on solving problems using different forms of rational numbers. It includes examples like centering a picture, calculating TV program segments, and determining flour and sugar usage for muffins. The tutorial emphasizes checking the reasonableness of answers and using tools strategically. It concludes with a stock value calculation using compound interest.

Why is it important to check your answer for reasonableness?

• To save time.

• To ensure the answer is within a reasonable range.

• To make the problem more complex.

• To avoid using a calculator.

If a picture is 32.5 inches long and the wall is 120.75 inches long, how far from each edge should the picture be placed?

• 45 inches

• 44.125 inches

• 40 inches

• 50 inches

Tags

CCSS.7.EE.B.3

What is the purpose of rounding numbers when checking for reasonableness?

• To increase accuracy.

• To avoid using fractions.

• To make the problem harder.

• To simplify calculations.

How long is each entertainment segment in a 30-minute TV program with three 2.5-minute commercials?

• 7 minutes

• 6 minutes

• 5.625 minutes

• 5 minutes

Tags

CCSS.7.EE.B.3

How many batches of muffins can Alanna make with 19 cups of flour if each batch requires 1.25 cups?

• 14 batches

• 16 batches

• 15 batches

• 20 batches

Tags

CCSS.6.NS.B.3

What is the cost per batch if a 5-pound bag of flour costing $4.49 can make 15 batches?

• 40 cents

• 35 cents

• 25 cents

• 30 cents

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

How many batches of muffins can be made from a 4-pound bag of sugar containing 454 teaspoons if each batch uses 36 teaspoons?

• 14 batches

• 11 batches

• 13 batches

• 12 batches

Tags

CCSS.6.RP.A.3B

What is the new depth of a lake that was 186.73 meters deep two years ago and has been decreasing at an average rate of 1.75% per year?

• 178 meters

• 185 meters

• 182 meters

• 180 meters

Tags

CCSS.7.RP.A.3

How much is Jolene's stock worth now if it was initially $750 and has been increasing at an average rate of 12.6% per year for three years?

• $1072.72

• $1100.50

• $1000.00

• $1050.30

Tags

CCSS.HSF.BF.A.2

What is the concept of compound interest?

• Interest that remains constant.

• Interest that decreases over time.

• Interest calculated only on the initial principal.

• Interest calculated on the initial principal and also on the accumulated interest of previous periods.

Tags

CCSS.7.RP.A.3