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Evan used base-10 blocks to model the product of 3 and 0.51.

How can Evan use this model to determine the product?

Enter your answers in the boxes to correctly complete each statement.

The model shows a total of
tenths and
hundredths. After regrouping, there is 1 whole,
tenths, and
hundredths, so the product is
.

1 answer

To model the product of 3 and 0.51 using base-10 blocks, Evan can break down the numbers as follows:

  1. Understanding the components of 0.51:

    • 0.51 can be broken down into tenths and hundredths: it is 5 tenths (0.5) and 1 hundredth (0.01).
    • Therefore, 0.51 consists of 5 tenths and 1 hundredth.

  2. Modeling the product of 3 and 0.51:

    • When you multiply 0.51 by 3, you can think of it as grouping 3 sets of 5 tenths and 1 hundredth.
    • 5 tenths x 3 = 15 tenths.
    • 1 hundredth x 3 = 3 hundredths.

  3. Regrouping the blocks:

    • Now, 15 tenths can be regrouped, as 10 tenths make up 1 whole.
    • From 15 tenths, when you take out 10 tenths, you have 1 whole left, along with 5 tenths remaining.
    • After regrouping, you have 1 whole, 5 tenths, and 3 hundredths.

  4. Final calculation:

    • So, in summary, 0.51 x 3 = 1 + 0.5 + 0.03 (which is the same as 1 + 0.05 + 0.03 = 1.53).

Complete the statements:

The model shows a total of 5 tenths and 1 hundredth. After regrouping, there is 1 whole, 5 tenths, and 3 hundredths, so the product is 1.53.