Final answer:
Janice uses place value blocks to understand the division of 1.92 by 6 by breaking it down into 18 tenths and 12 hundredths, equivalent to 192 hundredths, and easier to divide.
Step-by-step explanation:
When Janice is dividing 1.92 by 6, she exchanges the place value blocks for 18 tenths and 12 hundredths because division by whole numbers may result in the need to break down the numbers into smaller units, so that it can be evenly divided. In this case, 1.92 can be thought of as 192 hundredths.
When divided by 6, this means we are essentially dividing 18 tenths (180 hundredths) plus an additional 12 hundredths to make up the 192 hundredths. This breaking down helps understand how the division is being carried out more concretely.
- Understanding division and place value
- Breaking down decimals for division
- Place value blocks