Final answer:
To find 3 decimals equivalent to the expression 6 x 1 + 4 x 1/10, which equals 6.4, we use multiplication and division by powers of 10. The three equivalent decimals are 64.0, 6.4, and 0.64.
Step-by-step explanation:
The question asks for 3 decimals that are equivalent to 6 x 1 + 4 x 1/10. To solve this, we simply perform the arithmetic to find the total:
- 6 x 1 = 6
- 4 x 1/10 = 0.4
- Adding these together, 6 + 0.4 = 6.4
Now we need to find three decimals that are equivalent to 6.4. We can do this by multiplying and dividing by powers of 10:
- 6.4 x 10 = 64.0
- 6.4 x 1 = 6.4 (unchanged)
- 6.4 x 0.1 = 0.64
These three values (64.0, 6.4, and 0.64) are all equivalent to each other because multiplying or dividing by powers of 10 simply shifts the decimal point without changing the value.