Question

Select each equation that the decimal 0.65 is true

Answer 1

The decimal 0.65 satisfies the equations
`\(10^(1) * 6.5 = 65\)` in both cases, as indicated by options c and e, confirming the correct multiplication for the given decimal.

The decimal 0.65 satisfies the following equations:

c.
`\(10^(1) * 6.5 = 65\)`

e.
`\(10^(1) * 6.5 = 65\)`

In equation c, multiplying
`\(10^(1)\)` (which is 10 raised to the power of 1) by 6.5 results in 65, meeting the condition. Similarly, equation e involves multiplying
`\(10^(1)\)` by 6.5, again yielding 65. The exponent of 1 indicates a single power of 10, and when multiplied by 6.5, it precisely equals 65.

The other options involve different powers of 10 or incorrect multipliers, making them untrue for the given decimal. Therefore, the accurate statements are c and e, both confirming that 0.65 satisfies the equations by correctly multiplying 10 raised to the power of 1 by 6.5 to yield 65.

Que. 15. Select each equation that the decimal 0.65 makes true.

a. 10^2* × .... =65

b. 10^4* × .... =650

c. 10^1* × ..... =6.5

d. 10^3* × ..... =65

e. 10^1* × ....... =65