Into Math Grade 6 Module 1 Lesson 3 Answer Key Find and Apply Absolute Value

We included HMH Into Math Grade 6 Answer Key PDF Module 1 Lesson 3 Find and Apply Absolute Value to make students experts in learning maths.

HMH Into Math Grade 6 Module 1 Lesson 3 Answer Key Find and Apply Absolute Value

I Can find and use absolute value and magnitude to describe real-world situations.

Spark Your Learning
The table shows the low temperatures in Nome, Alaska, for five days in December. Find the distance from zero to each number.
HMH Into Math Grade 6 Module 1 Lesson 3 Answer Key Find and Apply Absolute Value 1
HMH Into Math Grade 6 Module 1 Lesson 3 Answer Key Find and Apply Absolute Value 2

Turn and Talk Name a real-world situation where finding the distance between two points can be useful.

Build Understanding

1. The elevations of four fish in a lake are shown. The elevation of the top of a lifeguard stand is 6 feet. Graph the integers on the number line.
HMH Into Math Grade 6 Module 1 Lesson 3 Answer Key Find and Apply Absolute Value 3
HMH Into Math Grade 6 Module 1 Lesson 3 Answer Key Find and Apply Absolute Value 4

A. What is the distance from zero to each elevation on the number line?
__________________________
__________________________
__________________________
__________________________
Answer:
The distance from zero to each elevation on the number line is -10 ft, -6ft, -3ft, -1ft, and 6ft.

Connect to Vocabulary
The absolute value of a number is the distance from the number to zero on a number line, shown by ||.
HMH Into Math Grade 6 Module 1 Lesson 3 Answer Key Find and Apply Absolute Value 5
Answer:
The absolute value of a number is the distance from the number to zero on a number line is 6 ft.

B. The distance from a number to zero on the number line is called the absolute value of the number. Complete each of the following sentences using the number line above.
The absolute value of -1 is ____
The absolute value of 6 is _____
The absolute value of -3 is ____
The absolute value of -10 is ____
The absolute value of -6 is ____
Answer:
The absolute value of -1 is 1.
The absolute value of 6 is 6.
The absolute value of -3 is 3.
The absolute value of -10 is 10.
The absolute value of -6 is 6.
C. The absolute value of a number is written using the symbols ||.
For example, the absolute value of -8 is written |-8|. Find the absolute values using the values from Part B.
HMH Into Math Grade 6 Module 1 Lesson 3 Answer Key Find and Apply Absolute Value 6
Answer:
|-1| = 1  |6| = 6  |-3| = 3 |-10| = 10 and = |-6| = 6
D. Negative numbers are less than positive numbers. Does this mean that the absolute value of a negative number must be less than the absolute value of a positive number? Explain.
Answer:
The absolute value of two opposite numbers is the same. This means the negative number can have greater absolute values than positive values as their distance from 0 is greater. Example |-10| > |6|.

Turn and Talk Can the absolute value of a number ever be negative? Explain.
Answer:
The absolute value implies the positive value of the number. The absolute value cannot be negative because it is always positive.
For example x = -1 then |x| = 1.

Step It Out
The magnitude of a number is its size or amount, without considering its sign. The magnitude of a number is the same as its absolute value.

2. Some insects produce a chemical that prevents the water in their bodies from freezing and helps them survive extreme cold. An insect’s supercooling point is the lowest temperature at which it can survive. The table shows the supercooling points of several insects.
HMH Into Math Grade 6 Module 1 Lesson 3 Answer Key Find and Apply Absolute Value 7
A. Graph the supercooling points on the number line.
HMH Into Math Grade 6 Module 1 Lesson 3 Answer Key Find and Apply Absolute Value 8
B. What are the magnitudes of -70, -54, and -35?
____________________________
____________________________
Answer:
The magnitudes of -70, -54, and -35 are 70, 54, and 35.

C. Complete these number sentences, which use absolute-value symbols to show the magnitude of each number from Part B.
HMH Into Math Grade 6 Module 1 Lesson 3 Answer Key Find and Apply Absolute Value 9
Answer:
|-70| = 70, |-54| = 54, |-35| = 35
D. Write an inequality to show the relationship between -70 and -35.
_____________________
Answer:
-70 < -35

Explanation:
The inequality that shows the relationship between -70 and -35 is <.
E. Which supercooling point is closest to 0 on the number line? Explain.
_____________________
_____________________
Answer:
The supercooling point that is closest to 0 on the number line is -6.8.
F. Which insect has the lowest supercooling point?
_____________________
Answer:
Woolly bear caterpillar.

Explanation:
The Woolly bear caterpillar insect has the lowest supercooling point which is -70°c

Check Understanding

Question 1.
A withdrawal, or money removed from a bank account, is listed on a bank statement as a negative number. Which represents a greater withdrawal, -$45 or -$50? _______
Answer:
$50

Explanation:
The withdrawal -of $50 is greater than -$45.

Question 2.
What does the absolute value of -2 represent?
__________________________
Answer:
The absolute value of -2 is 2
|-2| = 2

On Your Own 

Question 3.
Reason A model for the distance traveled from a cabin in a state park represents distances south of the cabin as negative numbers and distances north of the cabin as positive numbers. The number line shows the locations of two hikers.
HMH Into Math Grade 6 Module 1 Lesson 3 Answer Key Find and Apply Absolute Value 10
A. Who walked farther from the cabin? Explain.
_____________________
Answer:
Andy walked farther from the cabin.

Explanation:
Andy walked 8 miles to the north and Maurice walked -4 miles to the south. Hence by comparing both of the distances Andy walked farther than Maurice.
B. How many miles is Maurice from the cabin?
_____________________
Answer:
Maurice is -6 miles from the cabin.

Question 4.
Geography The equator is an imaginary circle around Earth halfway between the North Pole and the South Pole. Lines of latitude are imaginary circles around Earth parallel to the equator, used to determine position north and south of the equator. The equator is the line of 0° latitude.
A. What latitude is opposite of 30° north latitude?
__________________________
Answer:
The latitude opposite of 30° north latitude is -30° south latitude.
B. How do these latitudes compare?
__________________________
Answer:
All parallel circles from the equator up to the poles are called latitudes.

Question 5.
The average low surface temperature for Mars is -80 °F. The average low surface temperature for Jupiter is -234 °F. Which temperature has the greater absolute value? Explain.
Answer:
Given,
The average low surface temperature for Mars is -80 °F. The absolute value is 80 °F.
The average low surface temperature for Jupiter is -234 °F. The absolute value is 234 °F.
The average low surface temperature for Jupiter > The average low surface temperature for Mars
234 > 80.

For Problems 6-9, find the absolute value.

Question 6.
|9|
Answer:
9

Explanation:
The absolute value of |9| is 9.

Question 7.
|-1|
Answer:
1

Explanation:
The absolute value of |-1| is 1

Question 8.
|-56|
_______
Answer:
56

Explanation:
The absolute value of |-56| is 56.

Question 9.
|0|
_______
Answer:
0

Explanation:
The absolute value of |0| is 0.

I’m in a Learning Mindset!

What strategies do I use to stay on task when working on my own?
_____________________
_____________________

Lesson 1.3 More Practice/Home work

Find and Apply Absolute Value

Question 1.
The change in temperature from Monday to Tuesday was -6 °F. The change in temperature from Tuesday to Wednesday was -4 °F. Which represents a greater change in temperature?
_____________________
_____________________
Answer:
Temperature from Tuesday to Wednesday.

Explanation:
The change in temperature from Tuesday to Wednesday represents a greater change in temperature.
-4 °F > -6 °F

Question 2.
New memory is added to a computer so that it can run faster. The times it takes to open a graphics program and an email program are recorded before and after the new memory is added. The change in the amount of time to open the graphics program is -8 seconds. The change in the amount of time to open the email program is -5 seconds. Which shows more improvement? Explain.
_____________________
_____________________
Answer:
The change in the amount of time to open the email program is -5 seconds. So the time to open the email program has more improvement than the time to open the graphics program.

Question 3.
In baseball, the difference in the number of runs scored by each team is studied by players and managers. In a Monday night game, the difference in the number of runs for a certain team is -3 runs. In a Wednesday night game, the difference in the number of runs for the same team is -9 runs. Which game shows the greater difference?
HMH Into Math Grade 6 Module 1 Lesson 3 Answer Key Find and Apply Absolute Value 11
Answer:
Monday night game.

Explanation:
Monday night game shows the greater difference.
-3 > -9 runs

Determine which number has a lesser magnitude.

Question 4.
1 and -6
_____________________
Answer:
-6

Explanation:
The number -6 has a lesser magnitude because 1 > -6.

Question 5.
-2 and 10
_____________________
Answer:
-2

Explanation:
The number -2 has a lesser magnitude because 10 > -2.

Question 6.
-20 and -30
_____________________
Answer:
-30

Explanation:
The number -30 has a lesser magnitude because -20 > -30.

Question 7.
-4 and -5
_____________________
Answer:
-5

Explanation:
The number -5 has a lesser magnitude because -4 > -5.

Math on the Spot Find each absolute value.

Question 8.
|2|
_____________________
Answer:
2

Explanation:
The absolute value of |2| = 2

Question 9.
|-3|
_____________________
Answer:
3

Explanation:
The absolute value of |-3| = 3

Write an integer expression using absolute value symbols to represent the verbal expression.

Question 10.
the opposite of the absolute value of negative eight _____
Answer:
-8

Explanation:
the opposite of the absolute value of negative eight is -8.
|-8| = 8 is absolute value.
The opposite of absolute value is -8.

Question 11.
the absolute value of negative eight _____
Answer:
8

Explanation:
the absolute value of negative eight is eight.
|-8| = 8

Question 12.
the opposite of the absolute value of eight ________
Answer:
-8

Explanation:
the opposite of the absolute value of eight is -8.
|8| = 8 is absolute value
The opposite of the absolute value is -8.

Test Prep

Question 13.
Each day, the total number of people who visit a city’s public library is recorded. The change from the same day last year is also recorded. The changes for four consecutive days are shown below.
Monday: +127, Tuesday: -18, Wednesday: +19, Thursday: -209
Which day had the greatest change in the number of visitors compared to the same day last year?
A. Monday
B. Tuesday
C. Wednesday
D. Thursday
Answer:
Thursday.

Explanation:
The greatest change in the number of visitors compared to the same day last year is on Thursday.

Question 14.
What is the absolute value of -47?
_____________________
Answer:
47

Explanation:
The absolute value of -47 is 47.
|-47| = 47

Question 15.
Which bank balance represents the greatest amount owed?
A. a balance of -$20
B. a balance of $27
C. a balance of -$50
D. a balance of -$36
Answer:
Option B

Explanation:
A balance of $27 represents the greatest amount owed.

Question 16.
Which statement is correct?
A. |8| = -8
B. |10| > |-9|
C. |-2| < |1| D. |0| > 0
Answer:
Option B.

Explanation:
The statement |10| > |-9| is correct.

Spiral Review

Question 17.
What is the product of 12 and 19?
_____________________
Answer:
228

Explanation:
The product of 12 and 19 is 228.

Question 18.
Write an inequality to compare the decimals 0.149 and 0.128.
_____________________
Answer:
0.149 > 0.128

Explanation:
The inequality used to compare the given decimals is greater than >.
0.149 > 0.128.

Question 19.
Find the sum: 1.23 + 4.99.
_____________________
Answer:
6.22

Explanation:
The sum of the given numbers is 1.23 + 4.99 = 6.22

Question 20.
Find the quotient: 80 ÷ 8.
_____________________
Answer:
The quotient is 10.

Explanation:
Given,
80 ÷ 8
10

Leave a Comment

Scroll to Top
Scroll to Top