Final answer:
To solve the given number sentence, we find that the correct dividend is 7.5 when divided by (-1/4) results in (-30), by multiplying the dividend by the reciprocal of (-1/4), which is -4.
Step-by-step explanation:
To solve the equation where a number divided by (-1/4) equals (-30), we need to find the correct dividend that, when divided by (-1/4), gives us (-30). Division by a fraction is the same as multiplying by the reciprocal of the fraction. Therefore, we can rewrite the equation as the unknown dividend times the reciprocal of (-1/4), which is -4.
The equation becomes: dividend × (-4) = (-30). To find the dividend, we divide both sides of the equation by (-4). This gives us: dividend = (-30) ÷ (-4) = 7.5. Therefore, the correct dividend is 7.5.
Remembering the rules of signs for division and multiplication, since we are dividing two numbers with the same sign, our answer will have a positive sign.