Use a number line to add 54+(−24).
To add 5/4 and -2/4 using a number line, we need to represent both fractions.
First, let's represent 5/4. Since the numerator is greater than the denominator, the fraction is greater than 1 whole. On the number line, we start at 0 and move to the right 5/4 units.
-2/4 -1/4 0 1/4 2/4 3/4 4/4 5/4 6/4 7/4 8/4 9/4 10/4
5/4 ->
Next, let's represent -2/4. Since the numerator is negative, our move will be to the left. We need to move 2/4 units to the left from our starting point at 5/4.
-2/4 -1/4 0 1/4 2/4 3/4 4/4 5/4 6/4 7/4 8/4 9/4 10/4
<- -2/4 5/4 ->
The sum of 5/4 and -2/4 is 3/4.
Describe how to find the sum p+q using a number line if p=−19 and q=12.1.
First find_ on a number line, then count _ spaces to the right.
The sum p+(−q) is the number located a distance |p| from q in the positive direction.
The sum negative p plus left parenthesis negative q right parenthesis is the number located a distance absolute value of p from q in the positive direction.
The sum p+(−q) is the number located a distance |q| from p in the positive direction.
The sum p plus left parenthesis negative q right parenthesis is the number located a distance Start Absolute Value q End Absolute Value from p in the positive direction.
The sum p+(−q) is the number located a distance |q| from p in the negative direction.
The sum p plus left parenthesis negative q right parenthesis is the number located a distance Start Absolute Value q End Absolute Value from p in the negative direction.
The sum p+(−q) is the number located a distance |p| from q in the negative direction
5/4 + (-2/4
To find the sum p + q using a number line, we start by finding the position of -19 on the number line. Since p = -19, we move to the left on the number line until we reach -19.
... -30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30 ...
<- -19 ->
Next, we need to find the position of 12.1 on the number line. Since q = 12.1, we move to the right on the number line. We count 12 spaces to the right and then move a little bit further to the right to account for the decimal 0.1.
... -30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30 ...
12.1 ->
Now, we can find the sum p + q by counting the number of spaces from -19 to 12.1. Counting from -19 to 0 is 19 spaces to the right. Then, counting from 0 to 12.1 is 12.1 spaces to the right.
... -30 -25 -20 -15 -10 -5 0 5 10 15 20 25 30 ...
12.1 <- 19 ->
Adding 19 spaces to the right from -19, we reach -19 + 19 = 0. Then, adding 12.1 spaces to the right from 0, we reach 0 + 12.1 = 12.1.
Therefore, the sum of p = -19 and q = 12.1 on the number line is 0 + 12.1 = 12.1.
Add (−21) and (−11).
To add (-21) and (-11), we add the two numbers together.
(-21) + (-11) = -32
Therefore, the sum of (-21) and (-11) is -32.
Add (−34) and (12)
To add (-34) and (12), we add the two numbers together.
(-34) + (12) = -22
Therefore, the sum of (-34) and (12) is -22.