To add −34 and 12, you simply add the two numbers:
−34 + 12 = -22
Add (−34) and (12)
17 answers
please explain
When you add two numbers, you are combining them to find their total. In this case, you need to find the sum of −34 and 12.
To do this, you start by putting the numbers in vertical alignment, with the '-' sign in front of the 34 to show that it's a negative number:
-34
+ 12
------
Then, you can ignore the '-' signs for now and focus on adding the absolute values of the numbers. In this case, it would be 34 and 12:
34
+ 12
------
46
Next, you need to determine the sign of the sum based on the original signs of the numbers. Since the number −34 is negative and 12 is positive, the sum will be negative:
-34
+ 12
------
-22
Therefore, the sum of −34 and 12 is −22.
To do this, you start by putting the numbers in vertical alignment, with the '-' sign in front of the 34 to show that it's a negative number:
-34
+ 12
------
Then, you can ignore the '-' signs for now and focus on adding the absolute values of the numbers. In this case, it would be 34 and 12:
34
+ 12
------
46
Next, you need to determine the sign of the sum based on the original signs of the numbers. Since the number −34 is negative and 12 is positive, the sum will be negative:
-34
+ 12
------
-22
Therefore, the sum of −34 and 12 is −22.
ok thank you
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Add Rational Numbers Quick Check
1 of 51 of 5 Items
Question
Which of the following describes the sum p + (−q) where p
and q
are positive numbers??(1 point)
Responses
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 |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 |p| from q in the negative direction.
The sum p plus left parenthesis negative q right parenthesis is the number located a distance Start Absolute Value p End Absolute Value from q in the negative direction.
The sum p+(−q) is the number located a distance |p| from q in the positive direction.
1 of 51 of 5 Items
Question
Which of the following describes the sum p + (−q) where p
and q
are positive numbers??(1 point)
Responses
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 |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 |p| from q in the negative direction.
The sum p plus left parenthesis negative q right parenthesis is the number located a distance Start Absolute Value p End Absolute Value from q in the negative direction.
The sum p+(−q) is the number located a distance |p| from q in the positive direction.
The correct answer is: The sum p+(−q) is the number located a distance |q| from p in the negative direction.
why?
When we have the expression p + (−q), it means we are adding a positive number p and the negative of another number −q. Adding a positive number means moving in the positive direction on the number line. But since we are adding the negative of q, it means we are moving in the opposite direction, specifically in the negative direction.
When we add a negative number, we are essentially subtracting its absolute value. So, p + (−q) is equivalent to p − |q|. This means that we are starting at p and moving a distance |q| in the negative direction.
When we add a negative number, we are essentially subtracting its absolute value. So, p + (−q) is equivalent to p − |q|. This means that we are starting at p and moving a distance |q| in the negative direction.
Add Rational Numbers Quick Check
2 of 52 of 5 Items
Question
Which number line shows the correct way to find the sum p+q if p is positive and q is negative?(1 point)
Responses
A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second point from the left is labeled p. Zero is marked at 6 intervals to the right of point p. A rightward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the right of p.
Image with alt text: A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second point from the left is labeled p. Zero is marked at 6 intervals to the right of point p. A rightward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the right of p.
A number line ranging from 0 in unit increments shows an arrow, labeled absolute value of q, starting at point p and ending 4 units to the right.
Image with alt text: A number line ranging from 0 in unit increments shows an arrow, labeled absolute value of q, starting at point p and ending 4 units to the right.
A number line is shown with arrows at both ends, and hashmarks at unit intervals. Point p is marked on the seventh interval from the left. Zero is marked 2 intervals to the right of p. A leftward curved arrow, labeled absolute value of q, points from p to the second interval from the left.
Image with alt text: A number line is shown with arrows at both ends, and hashmarks at unit intervals. Point p is marked on the seventh interval from the left. Zero is marked 2 intervals to the right of p. A leftward curved arrow, labeled absolute value of q, points from p to the second interval from the left.
A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second mark from the left is labeled 0. Point p is located 5 intervals to the right of 0. A leftward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the left of p.
Image with alt text: A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second mark from the left is labeled 0. Point p is located 5 intervals to the right of 0. A leftward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the left of p.
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2 of 52 of 5 Items
Question
Which number line shows the correct way to find the sum p+q if p is positive and q is negative?(1 point)
Responses
A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second point from the left is labeled p. Zero is marked at 6 intervals to the right of point p. A rightward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the right of p.
Image with alt text: A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second point from the left is labeled p. Zero is marked at 6 intervals to the right of point p. A rightward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the right of p.
A number line ranging from 0 in unit increments shows an arrow, labeled absolute value of q, starting at point p and ending 4 units to the right.
Image with alt text: A number line ranging from 0 in unit increments shows an arrow, labeled absolute value of q, starting at point p and ending 4 units to the right.
A number line is shown with arrows at both ends, and hashmarks at unit intervals. Point p is marked on the seventh interval from the left. Zero is marked 2 intervals to the right of p. A leftward curved arrow, labeled absolute value of q, points from p to the second interval from the left.
Image with alt text: A number line is shown with arrows at both ends, and hashmarks at unit intervals. Point p is marked on the seventh interval from the left. Zero is marked 2 intervals to the right of p. A leftward curved arrow, labeled absolute value of q, points from p to the second interval from the left.
A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second mark from the left is labeled 0. Point p is located 5 intervals to the right of 0. A leftward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the left of p.
Image with alt text: A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second mark from the left is labeled 0. Point p is located 5 intervals to the right of 0. A leftward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the left of p.
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page 15 of 15
The correct answer is: A number line is shown with arrows at both ends, and hashmarks at unit intervals. The second mark from the left is labeled 0. Point p is located 5 intervals to the right of 0. A leftward curved arrow, labeled absolute value of q, starts at p and ends 4 intervals to the left of p.
When adding a positive number p and a negative number q, we start at point p on the number line and move towards the left in the negative direction. The arrow labeled absolute value of q represents the negative value of q, so it is pointing towards the left of point p. The distance covered by the arrow represents the absolute value of q.
When adding a positive number p and a negative number q, we start at point p on the number line and move towards the left in the negative direction. The arrow labeled absolute value of q represents the negative value of q, so it is pointing towards the left of point p. The distance covered by the arrow represents the absolute value of q.
Use properties of operations to add (−3) and (−17).(1 point)
To add −3 and −17, you can simply add the two numbers:
−3 + (−17) = -20
−3 + (−17) = -20
Add (4) and (−15).(1 point)
To add 4 and −15, you simply add the two numbers:
4 + (−15) = -11
4 + (−15) = -11
Add (−18) and (5).
To add −18 and 5, you simply add the two numbers:
−18 + 5 = -13
−18 + 5 = -13