HMH Middle School Grade 7 Practice Fluency Workbook 1st Edition Chapter 1 Adding and Subtracting Integers
Page 1 Problem 1 Answer
In the given question the following expression is given,−4+(−2).
And the given number line is as follows
It is required to model their addition on the number line and find its sum.
To solve, draw a number line and model the addition of the expression on the number line.
First, draw the given number line.
Then, locate the first integer on the number line.
If the second integer is positive, move that many units on the number line to the right from the location of the first integer and if the second integer is negative, move that many units on the number line to the right from the location of the first integer.
For modelling the addition on the number line, use the given number line.
Start from −4 on the number line and move 2 units to the left because the number −2 in the given expression −4+(−2) is negative.
Therefore, the sum of the expression −4+(−2) from the number line is −6.
Therefore, the addition of the given integers −4 and −2 in the given expression −4+(−2) after modelling them on the number line, is −6.
Page 1 Problem 2 Answer
In the given question following expression is given,−7+(−1)
It is required to find the sum of the given integers.
To calculate the sum first check the signs of the integers. If both are positive then add the integers.
And if both the integers are negative, then first ignore the negative signs and add the integers.
Then at the end write the sum as a negative number.
Check the signs in the given expression −7+(−1) and observe if they are negative or not.
Here −7 and −1 are both negative integers.
Ignore the negative signs from the expressions −7+(−1) and add the integers using simple addition properties.
7+1=8
Write the obtained sum as a negative number.
−7+(−1)=−8
Therefore, the sum of the given expression −7+(−1) is obtained as −8.
Page 1 Problem 3 Answer
In the given question following expression is given,−5+(−4)
It is required to find the sum of the given integers.
To calculate the sum first check the signs of the integers.
If both are positive then add the integers.
And if both the integers are negative, then first ignore the negative signs and add the integers.
Then at the end write the sum as a negative number.
Check the signs in the given expression −5+(−4) and observe if they are negative or not.
Here −5 and −4 are both negative integers.
Ignore the negative signs from the expressions −5+(−4) and add the integers using simple addition properties.
5+4=9
Write the obtained sum as a negative number.
−5+(−4)=−9
Therefore, the sum of the given expression −5+(−4) is obtained as −9.
Page 1 Problem 4 Answer
In the given question following expression is given−51+(−42).
It is required to find the sum of the given integers.
To calculate the sum first check the signs of the integers.
If both are positive then add the integers.
And if both the integers are negative, then first ignore the negative signs and add the integers.
Then at the end write the sum as a negative number.
Check the signs in the given expression −51+(−42) and observe if they are negative or not.
Here −51 and −42 are both negative integers.
Ignore the negative signs from the expressions −51+(−42) and add the integers using simple addition properties.
51+42=93
Write the obtained sum as a negative number.
−51+(−42)=−93
Therefore, the sum of the given expression −51+(−42) is obtained as −93.
Page 1 Problem 5 Answer
In the given question following expression is given 98+126.
It is required to find the sum of the given integers.
To calculate the sum first check the signs of the integers.
If both are positive then add the integers.
And if both the integers are negative, then first ignore the negative signs and add the integers.
Then at the end write the sum as a negative number.
Check the signs in the given expression 98+126 and observe if they are negative or not.
Here 98 and 126 are both positive integers.
Add the given integers 98 and 126 by using simple addition properties.
98+126=224
Therefore, the sum of the given expression 98+126 is obtained as 224.
Page 1 Problem 6 Answer
In the given question following expression is given,−20+(−75)
It is required to find the sum of the given integers.
To calculate the sum first check the signs of the integers.
If both are positive then add the integers.
And if both the integers are negative, then first ignore the negative signs and add the integers.
Then at the end write the sum as a negative number.
Check the signs in the given expression −20+(−75) and observe if they are negative or not.
Here −20 and −75 are both negative integers.
Ignore the negative signs from the expressions −20+(−75) and add the integers using simple addition properties.
20+75=95
Write the obtained sum as a negative number.
−20+(−75)=−95
Therefore, the sum of the given expression −20+(−75) is obtained as −95.
Page 1 Problem 7 Answer
In the question the expression −350+(−250) is given.
It is required to find the sum of the integers.
To calculate the sum first observe that the integers have the same negative sign or not.
At first add the integers ignoring the negative signs.
Then at the end write the sum as a negative number.
Check the signs in the given expression −350+(−250) and observe if they are negative or not.
Here−350 and−250 are both negative.
Ignore the negative signs from the expression −350+(−250) and add the integers using simple addition properties.
350+250=600
Write the sum as a negative number.
−350+(−250)=−600
The sum of the given expression −350+(−250) is −600.
Page 1 Problem 8 Answer
In the question the given expression is−110+(−1200).
It is required to find the sum of the integers
To calculate the sum first observe that the integers have the same negative sign or not.
First, add the integers ignoring the negative signs.
Then at the end write the sum as a negative number.
Check the signs in the given expression −110+(−1200) and observe if they are negative or not.
Here −110 and −1200 are both negative numbers.
Ignore the negative signs from the expression −110+(−1200) and add the integers using simple addition properties.
110+1200=1310.
Write the sum as a negative number.
−110+(−1200)=−1310
The sum of the given expression −110+(−1200) is −1310.
Page 1 Problem 9 Answer
It is given that a construction crew is digging a hole.
Now on the first day, they dug a hole 3 feet.
Then on the second day, they dug 2 more feet and on the third day, they dug 4 more feet.
It is required to find a sum of negative numbers to represent this situation and also it is required to find the total sum and its relation with the problem.
To calculate the total sum observe all the integers have the same negative sign since all the integers are representing the depth of hole.
Add the integers ignoring the negative signs. Then at the end write the sum as a negative number.
Check the signs of the integers in the given problem (−3)+(−2)+(−4) and observe if they are negative or not.
Here −3 ,−2 and−4 are all negative integers since the integers are expressing the depth of the hole.
Ignore the negative signs from the expression and add the integers using simple addition properties.
3+2+4=9
Write the sum as a negative number.
(−3)+(−2)+(−4)=−9
The total sum is −9 and here 9 represents the depth of hole which has been dug in three days and the negative sign − before 9 represents the fact that the value is representing depth.
The sum of the negative numbers is −9.
The total sum is −9 and here 9 represents the depth of hole which has been dug in three days and the negative sign − before 9 represents the fact that the value is representing depth.
Page 2 Problem 10 Answer
In the question the given expression is 3+6 .
It is required to find if the integers are both positive or both are negative.
To find if the integers are both positive or negative, check if the integers are with positive sign or the integers are with negative sign.
Check the signs of the integers in the given expression 3+6 and observe if they are negative or positive.
Both 3 and 6 have positive signs.
Therefore the integers 3 and 6 are both positive integers.
The integers 3 and 6 in the given expression3+6 are both positive integers.
Page 2 Problem 11 Answer
In the question the given expression is 3+6 .
It is required to add the integers.
To find the addition of integers 3 and 6 in the given expression 3+6 use simple addition properties.
Add the integers 3 and 6 in the given expression 3+6 using simple addition properties.
3+6=9
Therefore the value of the addition is 9.
The required value of addition of 3 and 6 in the expression 3+6 is 9 .
Page 2 Problem 12 Answer
In the question the given expression is 3+6.
It is required to find the sum of the integers.
To calculate the sum observe if the integers have the same positive sign. Then add the integers and at the end write the sum as positive number.
Check the signs of the integers 3 and 6 in the given expression is 3+6 if the integers are both positive or the integers are both negative.
The integers 3 and 6 are both positive.
Add the integers 3 and 6 in the given expression is 3+6 using simple addition properties.
3+6=9
The required value of the integers 3 and 6 in the given expression is 3+6 is 9.
Page 2 Problem 13 Answer
In the question the given expression is −7+(−1) .It is required to find if the integers are both positive or both negative.
To find if the integers are both positive or negative, check if the integers are with positive sign or the integers are with negative sign.
Check the signs of the integers in the given expression −7+(−1) and observe if they are negative or positive.
Both −7 and −1 have negative signs.
Therefore the integers −7 and −1 are both negative integers.
The integers −7 and −1 in the given expression −7+(−1) are both negative integers.
Page 2 Problem 14 Answer
In the question the given expression is −7+(−1).
It is required to add the integers.
To find the addition, ignore the negative sign of the integers −7 and−1 and add them using simple addition properties.
Ignore the negative sign of the integers −7 and −1 in the given expression is −7+(−1) and add them using simple addition properties.
7+1=8
Therefore the addition of the integers is 8.
The value of the addition of the integers −7 and−1 in the given expression −7+(−1) is – 8.
Page 2 Problem 15 Answer
In the question, the expression is given as −7+(−1).
It is required to write the sum of the given expression.
To solve this, add the integers given in the expression and write it as a negative number to write the sum of the expression.
The sum of the two integers 7 and 1 is 8.
The sum of −7+(−1) will be the negative of 8 and can be written as: −7+(−1)=−8
The sum of the expression −7+(−1) is −7+(−1)=−8.
Page 2 Problem 16 Answer
In the question, the expression is given as −5+(−2).
It is required to state if both the integers are positive or negative.
To solve this, write if the integers given in the expression are positive or negative by noting the sign before the integers.
The two integers given in the question are −5 and −2. Both the integers have a negative sign before them.
Hence, both the integers are negative.
The integers in the expression −5+(−2) are both negative.
Page 2 Problem 17 Answer
In the question, the expression is given as −5+(−2).
It is required to add the integers.
To solve this, add the integers given in the expression by ignoring the negative numbers.
Ignoring the negative signs, the two integers given in the expression −5+(−2) are 5 and 2.
Simplify the expression 5+2 using simple addition operations.
5+2=7
The addition of the integers in the expression −5+(−2) is 7.
Page 2 Problem 18 Answer
In the question, the expression is given as −5+(−2).
It is required to write the sum of the given expression.
To solve this, add the integers given in the expression and write it as a negative number to write the sum of the expression.
The sum of the two integers 5 and 2 is 7.
The sum of −5+(−2) will be the negative of 7 and can be written as:
−5+(−2)=−7
The sum of the expression −5+(−2) is −5+(−2)=−7.
Page 2 Problem 19 Answer
In the question, the expression is given as 6+4.
It is required to state if both the integers are positive or negative.
To solve this, write if the integers given in the expression are positive or negative by noting the sign before the integers.
The two integers given in the question are 6 and 4. Both the integers have no negative sign before them.
Hence, both the integers are positive.
The integers in the expression 6+4 are both positive.
Page 2 Problem 20 Answer
In the question, the expression is given as 6+4.
It is required to add the integers.
To solve this, add the integers given in the expression using addition operations.
Simplify the expression 6+4 using simple addition operations.
6+4=10
The addition of the integers in the expression 6+4 is 10.
Page 2 Problem 21 Answer
In the question, the expression is given as 6+4.
It is required to write the sum of the given expression.
To solve this, add the integers given in the expression to write the sum of the expression.
The two integers 6 and 4 have a sum of 10, which is a positive number.
The sum of the expression 6+4 can be written as:
6+4=10
The sum of the expression 6+4 is 6+4=10.
Page 2 Problem 22 Answer
In the question, the expression is given as −10+(−3).
It is required to find the sum of the expression.
To solve this, add the integers given in the expression ignoring the negative numbers.
Write the sum as a negative number to write the sum of the expression.
Both the integers −10 and −3 in the expression −10+(−3) have a negative sign before them.
Hence, the integers are both negative.
Ignoring the negative signs, the two integers given in the expression −10+(−3) are 10 and 3.
Simplify the expression 10+3 using simple addition operations.
10+3=13
The sum of −10+(−3) will be the negative of 13 and can be written as:−10+(−3)=−13
The sum of the expression −10+(−3) is −13.
Page 2 Problem 23 Answer
In the question, the expression is given as −4+(−12).
It is required to find the sum of the expression.
To solve this, add the integers given in the expression ignoring the negative numbers.
Write the sum as a negative number to write the sum of the expression.
Both the integers −4 and −12 in the expression −4+(−12) have a negative sign before them.
Hence, the integers are both negative.
Ignoring the negative signs, the two integers given in the expression −4+(−12) are 4 and 12.
Simplify the expression 4+12 using simple addition operations.
4+12=16
The sum of −4+(−12) will be the negative of 16 and can be written as: −4+(−12)=−16
The sum of the expression −4+(−12) is −16.
Page 2 Problem 24 Answer
In the question, the expression is given as 22+15.
It is required to find the sum of the expression.
To solve this, add the integers given in the expression ignoring the negative numbers.
Write the sum as a negative number to write the sum of the expression.
Both the integers 22 and 15 in the expression 22+15 have no negative sign before them.
Hence, the integers are both positive.
The two integers 22 and 15 have a sum of 37, which is a positive number.
The sum of the expression 22+15 can be written as:
22+15=37
The sum of the expression 22+15 is 37.
Page 2 Problem 25 Answer
In the question, the expression is given as −10+(−31).
It is required to find the sum of the expression.
To solve this, add the integers given in the expression ignoring the negative numbers.
Write the sum as a negative number to write the sum of the expression.
Both the integers −10 and −31 in the expression −10+(−31) have a negative sign before them.
Hence, the integers are both negative.
Ignoring the negative signs, the two integers given in the expression −10+(−31) are 10 and 31.
Simplify the expression 10+31 using simple addition operations.
10+31=41
The sum of −10+(−31) will be the negative of 41 and can be written as:
−10+(−31)=−41
The sum of the expression −10+(−31) is −41.
Page 2 Problem 26 Answer
In the question, the expression is given as −18+(−6).
It is required to find the sum of the expression.
To solve this, add the integers given in the expression ignoring the negative numbers.
Write the sum as a negative number to write the sum of the expression.
Both the integers −18 and −6 in the expression −18+(−6) have a negative sign before them.
Hence, the integers are both negative.
Ignoring the negative signs, the two integers given in the expression −18+(−6) are 18 and 6.
Simplify the expression 18+6 using simple addition operations.
18+6=24
The sum of −18+(−6) will be the negative of 24 and can be written as:−18+(−6)=−24
The sum of the expression −18+(−6) is −24.
Page 2 Problem 27 Answer
In the question, the expression is given as 35+17.
It is required to find the sum of the expression.
To solve this, add the integers given in the expression ignoring the negative numbers.
Write the sum as a negative number to write the sum of the expression.
Both the integers 35 and 17 in the expression 35+17 have no negative sign before them. Hence, the integers are both positive.
The two integers 35 and 17 have a sum of 52, which is a positive number.
The sum of the expression 35+17 can be written as 35+17=52
The sum of the expression 35+17 is 52.