Which expression results in a negative number?
1/2(-2x2/5)
1/3(-18) divided by -3
-1/4(-7-6)
-1/2 divided by -2/3
-1/2 divided by -2/3
To find the expression that results in a negative number, we need to simplify each expression and determine if the result is negative.
Let's simplify each expression one by one:
1. 1/2(-2x2/5):
We can simplify this expression by performing the multiplication inside the parentheses first:
-2 * 2 = -4
Now, let's calculate the final result:
1/2 * -4 = -2
2. 1/3(-18) divided by -3:
Let's simplify the expression inside the parentheses first:
-18
Now, let's divide the result by -3:
-18 / -3 = 6
Finally, let's multiply the result by 1/3:
1/3 * 6 = 2
3. -1/4(-7-6):
We can simplify this expression by performing the addition inside the parentheses first:
-7 + -6 = -13
Now, let's calculate the final result:
-1/4 * -13 = 13/4
4. -1/2 divided by -2/3:
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction:
-1/2 * -3/2 = 3/4
To determine which expression results in a negative number, we look for the expression with a negative result:
1/2(-2x2/5) = -2 (negative)
1/3(-18) divided by -3 = 2 (not negative)
-1/4(-7-6) = 13/4 (not negative)
-1/2 divided by -2/3 = 3/4 (not negative)
The expression that results in a negative number is 1/2(-2x2/5).
To determine which expression results in a negative number, we need to simplify each expression and evaluate the sign (+ or -) of the result. Let's go through each expression step by step:
1. 1/2(-2x2/5)
To simplify this expression, we start by evaluating the multiplication inside the parentheses: -2 multiplied by 2 equals -4. Then, we divide -4 by 5: -4/5. Since we have a positive number divided by a positive number, the result is negative.
2. 1/3(-18) divided by -3
First, we simplify the expression inside the parentheses: -18. Then we divide -18 by 3, which gives us -6. Finally, we divide -6 by -3. Dividing a negative number by another negative number results in a positive number.
3. -1/4(-7-6)
We start by simplifying the expression inside the parentheses: -7 - 6 equals -13. Then, we multiply -1/4 by -13. Multiplying a negative number by a negative number gives us a positive number.
4. -1/2 divided by -2/3
To simplify this expression, we need to remember the rule for dividing fractions. When dividing fractions, we multiply by the reciprocal of the second fraction. So, we have (-1/2) * (-3/2).
Multiplying -1/2 by -3/2 gives us 3/4. Since we are multiplying a negative number by a negative number, the result is positive.
Based on our calculations, the expression that results in a negative number is 1/2(-2x2/5)