Use properties of real numbers to rewrite the expression.
start fraction two fifths end fraction times negative seven times five halves
To rewrite the expression using properties of real numbers, we can simplify and rearrange the factors.
Start by simplifying the expression:
Start fraction two fifths end fraction times negative seven times five halves
= 2/5 * -7 * 5/2
Next, rearrange the factors using the commutative property of multiplication:
= -7 * 2/5 * 5/2
Now, simplify the expression further:
= -7 * (2 * 5) / (5 * 2)
Multiplying the numerator and denominator of the fraction gives:
= -7 * 10 / 10
Finally, simplify the expression:
= -7 * 1
= -7