Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

An ant is on top of a tree 23 meters tall, directly above her home, which is 0.3 meters below the ground. Which 2 of the following expressions represents the distance between the ant and her home? Choose 2 answers: A |23+0.3| B |0.3-23| c |-0.3-23|

An ant is on top of a tree 2323 meters tall, directly above her home, which is 00.33 meters below the ground.\newlineWhich 22 of the following expressions represents the distance between the ant and her home?\newlineChoose 22 answers:\newline(A) ∣23+0.3∣ |23+0.3| \newline(B) ∣0.3−23∣ |0.3-23| \newline(C) ∣−0.3−23∣ |-0.3-23|

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Integer inequalities with absolute valuesright chevron icon

Full solution

Q. An ant is on top of a tree 2323 meters tall, directly above her home, which is 00.33 meters below the ground.\newlineWhich 22 of the following expressions represents the distance between the ant and her home?\newlineChoose 22 answers:\newline(A) ∣23+0.3∣ |23+0.3| \newline(B) ∣0.3−23∣ |0.3-23| \newline(C) ∣−0.3−23∣ |-0.3-23|
  1. Understand the problem: Understand the problem. The ant is on top of a tree that is 2323 meters tall, and her home is 0.30.3 meters below the ground. We need to find the total distance from the ant to her home, which is the sum of the height of the tree and the depth of the home below the ground.
  2. Calculate total distance: Calculate the total distance. The total distance is the height of the tree plus the depth of the home below the ground. This is 2323 meters + 0.30.3 meters = 23.323.3 meters.
  3. Determine correct expressions: Determine the correct expressions. The distance is a positive value, so we need to find the expressions that correctly calculate this positive distance.
  4. Evaluate the expressions: Evaluate the expressions given in the options.\newlineA. ∣23+0.3∣=∣23.3∣=23.3|23 + 0.3| = |23.3| = 23.3, which is the correct distance.\newlineB. ∣0.3−23∣=∣−22.7∣=22.7|0.3 - 23| = |-22.7| = 22.7, which is not the correct distance.\newlineC. ∣−0.3−23∣=∣−23.3∣=23.3|-0.3 - 23| = |-23.3| = 23.3, which is the correct distance.

More problems from Integer inequalities with absolute values

Question
Which of the following is a correct interpretation of the expression −3−5 -3-5 ?\newlineChoose 11 answer:\newline(A) Start at 55 on the number line and move 33 to the left.\newline(B) Start at 55 on the number line and move 33 to the right.\newline(C) Start at −3-3 on the number line and move 55 to the left.\newline(D) Start at −3-3 on the number line and move 55 to the right.
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following is a correct interpretation of the expression −3+(−5)? -3+(-5) ? \newlineChoose 11 answer:\newline(A) The number that is 55 to the left of −3-3 on the number line\newline(B) The number that is 55 to the right of −3-3 on the number line\newline(C) The number that is 33 to the left of 55 on the number line\newline(D) The number that is 33 to the right of 55 on the number line
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following is a correct interpretation of the expression −4+13 -4+13 ?\newlineChoose 11 answer:\newline(A) The number that is 44 to the left of −13-13 on the number line\newline(B) The number that is 44 to the right of −13-13 on the number line\newline(C) The number that is 1313 to the left of −4-4 on the number line\newline(D) The number that is 1313 to the right of −4-4 on the number line
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following is a correct interpretation of the expression 5−8 5-8 ?\newlineChoose 11 answer:\newline(A) Start at 55 on the number line and move 88 to the left.\newline(B) Start at 55 on the number line and move 88 to the right.\newline(C) Start at 88 on the number line and move 55 to the left.\newline(D) Start at 88 on the number line and move 55 to the right.
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following is a correct interpretation of the expression 3+(−7)? 3+(-7) ? \newlineChoose 11 answer:\newline(A) Start at 77 on the number line and move 33 to the left.\newline(B) Start at 77 on the number line and move 33 to the right.\newline(C) Start at 33 on the number line and move 77 to the left.\newline(D) Start at 33 on the number line and move 77 to the right.
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following are true statements about the expression −7+7 -7+7 ?\newlineChoose 22 answers:\newline(A) The expression describes the number that is 77 to the left of −7-7 on the number line.\newline(B) The expression describes the number that is 77 to the right of −7-7 on the number line.\newline(C) The expression equals −14-14 .\newline(D) The expression equals 00.
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following is a correct interpretation of the expression 6−13 6-13 ?\newlineChoose 11 answer:\newline(A) Start at 1313 on the number line and move 66 to the left.\newline(B) Start at 1313 on the number line and move 66 to the right.\newline(C) Start at 66 on the number line and move 1313 to the left.\newline(D) Start at 66 on the number line and move 1313 to the right.
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following are true statements about the expression −9+9 -9+9 ?\newlineChoose 22 answers:\newline(A) The expression describes the number that is 99 to the left of −9-9 on the number line.\newline(B) The expression describes the number that is 99 to the right of −9-9 on the number line.\newline(C) The expression equals −18-18 .\newline(D) The expression equals 00 .
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following is a correct interpretation of the expression −7−(−11)? -7-(-11) ? \newlineChoose 11 answer:\newline(A) Start at −7-7 on the number line and move 1111 to the left.\newline(B) Start at −7-7 on the number line and move 1111 to the right.\newline(C) Start at −11-11 on the number line and move 77 to the left.\newline(D) Start at −11-11 on the number line and move 77 to the right.
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following are true statements about the expression −8+8? -8+8 ? \newlineChoose 22 answers:\newline(A) The expression describes the number that is 88 to the left of −8-8 on the number line.\newline(B) The expression describes the number that is 88 to the right of −8-8 on the number line.\newline(C) The expression equals −16-16 .\newline(D) The expression equals 00 .
Get tutor helpright-arrow

Posted 3 months ago

View all (1)