Fill in the blanks

Identifying Equivalent Decimals
Complete the table.
Equivalent decimals in different_______
8.24 __________

______+ 0.2 + 0.04

(8 × 1) + (2 × 0.1) + (4 × 0.01)|

8 + 0.2 +________+ 0.000

(8 × 1) + (2 × 0.1) + (4 × 0.01) + (0 × 0.001)|

1 answer

To fill in the blanks for identifying equivalent decimals, we can analyze the number 8.24 and break it down into its decimal components.

Given the information, here’s how to complete the table:

  1. Equivalent decimals in different: forms
  2. 8.24: 8.240 (This shows the same number with an additional zero)
  3. ______ + 0.2 + 0.04: 0.000 (This represents the thousandths place, matching the decimal's total value)
  4. (8 × 1) + (2 × 0.1) + (4 × 0.01): This remains unchanged as it represents the correct breakdown of 8.24.
  5. 8 + 0.2 + ______ + 0.000: 0.04 (This is the value in the hundredths place represented individually)
  6. (8 × 1) + (2 × 0.1) + (4 × 0.01) + (0 × 0.001): This remains unchanged as it correctly demonstrates the breakdown of the decimal into its parts.

The completed table would look like this:

  • Equivalent decimals in different forms
  • 8.24 8.240
  • 0.000 + 0.2 + 0.04
  • (8 × 1) + (2 × 0.1) + (4 × 0.01)
  • 8 + 0.2 + 0.04 + 0.000
  • (8 × 1) + (2 × 0.1) + (4 × 0.01) + (0 × 0.001)

This accurately captures the equivalent forms and breakdown of the number 8.24 as decimal components.