Understanding Multiplication of Decimals

The video tutorial explains how to solve problems involving multiplication of decimals. It starts with a problem about Juan running a certain distance daily and calculating the total distance over six days. The tutorial then demonstrates how to multiply decimals by reasoning through whole number multiplication and adjusting for decimals. Another example is provided, calculating the cost of hours spent at a trampoline park, reinforcing the concept of decimal multiplication and estimation.

How many kilometers does Juan run in total over six days if he runs 1.7 kilometers each day?

• 12.2 kilometers

• 11.2 kilometers

• 10.2 kilometers

• 9.2 kilometers

What is the result of multiplying 17 by 6?

• 122

• 92

• 112

• 102

If 1.7 is multiplied by 6, what is the estimated result?

• 12.2

• 9.2

• 11.2

• 10.2

What is the cost per hour at the trampoline park?

• $8.25

• $9.25

• $10.25

• $7.25

How much does Riley spend if he jumps for 4 hours at $8.25 per hour?

• $33.00

• $32.00

• $35.00

• $34.00

What is the result of multiplying 825 by 4?

• 3200

• 3300

• 3400

• 3100

Where should the decimal be placed in the result of 825 multiplied by 4 to reflect the cost in dollars?

• 330.0

• 33.00

• 3.300

• 3300

What is the reasoning behind moving the decimal two places when calculating the cost of jumping?

• Dividing by 10

• Multiplying by 100

• Dividing by 100

• Multiplying by 10

What is the estimated range for the result of 8.25 multiplied by 4?

• Between 28 and 32

• Between 34 and 38

• Between 30 and 34

• Between 32 and 36

What is the first step in solving the problem of multiplying 8.25 by 4?

• Multiply 82.5 by 4

• Multiply 0.825 by 4

• Multiply 8 by 4

• Multiply 825 by 4