Go Math! Middle School Grade 7 Practice Fluency Workbook 1st Edition Chapter 2 Multiplying and Dividing Integers
HMH Grade 7 Practice Fluency Workbook Chapter 2 Exercise 2.2 Solutions Page 10 Problem 1 Answer
In the question, it is given the expression which is −38÷2
It is required to find out the quotient of the given expression.
To solve this question divide 2 by −38.
−38÷2 is the given expression.
−38÷(−2)=38÷2=19
(Divide the absolute values of the two numbers; the sign of the quotient is a plus because the numbers that are going to divide have the same sign)
The quotient of the given expression is 19.
HMH Middle School Grade 7 Practice Fluency Workbook 1st Edition Chapter 2 Page 10 Problem 2 Answer
In the question, it is given the expression which is −28÷7.
It is required to find out the quotient of the given expression.
To solve this question divide 7 by −28.
−28÷7 is the given expression.
−28÷7=−(28÷7)=−4
(Divide the absolute values of the two numbers; the sign of the quotient is minus because the numbers that are going to divide have different signs)
The quotient of the given expression is −4.
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HMH Middle School Grade 7 Practice Fluency Workbook 1st Edition Chapter 2 Page 10 Problem 3 Answer
(Divide the absolute values of the two numbers; the sign of the quotient is a plus because the numbers that are going to divide have the same sign)
The quotient of the given expression is 11.
HMH Middle School Grade 7 Practice Fluency Workbook 1st Edition Chapter 2 Page 10 Problem 4 Answer
It is given−35÷4.
It is required to find the quotient of −35÷4.
To find the quotient of −35÷4, it is necessary to solve the given expression.
Perform the division on expression −35÷4.
Divide the numerical values of the two numbers.
−35÷4=−(35÷4)
The sign of the quotient will be minus because the given numbers have different signs .
Hence, the quotient is −(35÷4)=−8.75.
The quotient of −35÷4 is−8.75.
HMH Middle School Grade 7 Practice Fluency Workbook 1st Edition Chapter 2 Page 10 Problem 5 Answer
It is given (−6−4)÷2.
It is required to simplify the given expression (−6−4)÷2.
To simplify the given expression (−6−4)÷2, it is necessary to break the parentheses.
Perform the subtraction inside the parentheses.
(−6−4)÷2=−10÷2
Now, perform the division on expression−10÷2.
Divide the absolute values of the two numbers.
−10÷2=−(10÷2)
The sign of the quotient will be minus because the given numbers have different signs.
Hence, the quotient is−(10÷2)=−5.
The expression (−6−4)÷2 can be simplified into −5.
HMH Middle School Grade 7 Practice Fluency Workbook 1st Edition Chapter 2 Page 10 Problem 6 Answer
It is given 5(−8)÷4.
It is required to simplify the given expression 5(−8)÷4.
To simplify the given expression 5(−8)÷4, it is necessary to perform the multiplication.
Perform the multiplication on expression5(−8)÷4.
Multiply the numerical values of the two numbers.
5(−8)÷4=−(5⋅8)÷4
It is known that the sign of the product will be minus because the given numbers have different signs.
Hence, the product will be −(5⋅8)÷4=−40÷4.
Again, perform the division on expression −40÷4.
Divide the numerical values of the two numbers.
−40÷4=−(40÷4)
The sign of the quotient will be minus because the given numbers have different signs.
Hence, the quotient is −(40÷4)=−10.
The expression 5(−8)÷4 can be simplified into−10.
Multiplying And Dividing Integers Exercise 2.2 Chapter 2 Answers Hmh Grade 7 Workbook Page 10 Problem 7 Answer
It is given a phrase- thirty-two divided by the opposite of 4.
It is required to write a mathematical expression for the given phrase.
To write a mathematical expression for the given phrase, it is necessary to understand the keywords in the phrase.
Here, the opposite of 4 implies the negative integer −4.
Also, thirty-two is divided by the opposite of 4. It implies 32÷(−4).
The mathematical expression for the given phrase- thirty-two divided by the opposite of 4 is 32÷(−4).
HMH Middle School Grade 7 Practice Fluency Workbook 1st Edition Chapter 2 Page 10 Problem 8 Answer
It is given a phrase- the quotient of the opposite of 30 and 6, plus the opposite of 8.
It is required to write a mathematical expression for the given phrase.
To write a mathematical expression for the given phrase, it is necessary to understand the keywords in the phrase.
Here, the opposite of 30 implies the negative integer −30.
The quotient of the opposite of 30 and 6 can be obtained by dividing −30 and 6. It is written as (−30)÷6.
Also, the opposite of 8 is −8.
Now, the quotient of the opposite of 30 and 6, plus the opposite of 8 implies the addition of (−30)÷6 and −8.
It is written as(−30)÷6+(−8).
Hence, the required mathematical expression is (−30)÷6+(−8).
The mathematical expression for the given phrase- the quotient of the opposite of 30 and 6, plus the opposite of 8 is (−30)÷6+(−8).
HMH Middle School Grade 7 Practice Fluency Workbook 1st Edition Chapter 2 Page 10 Problem 9 Answer
It is given a phrase- the quotient of 12 and the opposite of 3 plus the product of the opposite of 14 and 4.
It is required to write a mathematical expression for the given phrase.
To write a mathematical expression for the given phrase, it is necessary to understand the keywords in the phrase.
Here, the opposite of 3 implies the negative integer −3.
The quotient of 12 and the opposite of 3 indicates the division of 12 and −3. It is written as 12÷(−3).
Also, the opposite of 14 implies the negative integer −14.
The product of 14 and the opposite of 4 indicates the multiplication of −14 and 4. It is written as (−14)⋅4.
Now, the quotient of 12 and the opposite of 3 plus the product of the opposite of [14] and 4 implies the addition of 12÷(−3) and (−14)⋅4.
The required mathematical expression is 12÷(−3)+(−14)⋅4
The mathematical expression for the given phrase- the quotient of 12 and the opposite of 3 plus the product of the opposite of 14 and 4 is 12÷(−3)+(−14)⋅4.
Step-By-Step Solutions For Exercise 2.2 Multiplying And Dividing Integers HMH Grade 7 Practice Workbook Page 10 Problem 10 Answer
It is given that an athletic department of a school bought 40 soccer uniforms at a cost of $3000 and they returned some of the uniforms for which they only received $40 per uniform.
It is required to find out the difference between the amount the school paid for each uniform and the amount they got for each return.
To find out the difference between the amount the school paid for each uniform and the amount they got for each return, it is necessary to obtain the amount the school paid for each uniform using division operation.
If the school bought 40 soccer uniforms at a cost of$3000, then the amount the school paid for each uniform will be$3000÷40=$75.
Thus, the amount the school paid for each uniform is $75.
Also, it is given that the school received $40 per uniform for each return.
Hence, the difference between the amount the school paid for each uniform and the amount they got for each return will be $75−$40=$35.
The difference between the amount the school paid for each uniform and the amount they got for each return is$35.
Exercise 2.2 Multiplying And Dividing Integers Solutions For HMH Middle School Grade 7 Workbook Page 10 Problem 11 Answer
It is given that the savings account of a commuter has $245 and it changes by−$15 each week when he buys a ticket.
The account changed by−$240 in one time period.
It is required to find the number of weeks the commuter buys tickets.
To find the number of weeks the commuter buys tickets, it is necessary to form a mathematical expression modeling the given situation.
If the commuter’s account changed by −$240 in one time period and it changes by −$15 each week, then the number of weeks the commuter buys tickets is given by −240÷(−15).
Solve the expression−240÷(−15).
Divide the values −240and −15. The quotient will be positive since both the integers are negative.
240÷15=16
Hence, the required number of weeks is 16.
The number of weeks the commuter buys tickets is 16.
HMH Middle School Grade 7 Practice Fluency Workbook 1st Edition Chapter 2 Page 10 Problem 12 Answer
It is given that the savings account of a commuter has $245 and it changes by −$15 each week when he buys a ticket. The account changed by−$240 in one time period.
It is required to find the amount he must add to his account if he wants to have 20 weeks worth of tickets in his account.
To find the amount he must add to his account if he wants to have 20 weeks worth of tickets in his account, it is necessary to form a mathematical expression modeling the given situation.
If he spends $15 when he buys a ticket each week, then the number of tickets to buy for 20 weeks will be 20×15.
If the commuter has $245 in his account, then the amount he must add to his account if he wants to have 20 weeks worth of tickets will be 20×15−245.
Solve the expression 20×15−245.
20×15−245=300−245
On calculating,300−245=55
Hence, the required amount is $55.
The amount he must add to his account if he wants to have 20 weeks worth of tickets in his account is $55.
Examples Of Problems From Exercise 2.2 Multiplying And Dividing Integers In HMH Grade 7 Workbook Page 10 Problem 13 Answer
It is given the expression −39/3.
It is required to find in which direction an arrow that represents the dividend point, dividend, sign of divisor and sign of quotient.
To find in which direction an arrow represents the dividend point, draw the number line and draw an arrow to the left from 0 to the value of the dividend,−39.
To find the dividend, see the number which is going to be divided.
To find the sign of the divisor see the sign of divisor given in the question.
To find the sign of quotient see the sign of divisor and dividend.
Drawing the number line and drawing an arrow to the right from 0 to the value of dividend, −39.
Here, dividend =−39.
Sign of divisor is negative.
Since the sign of dividend and divisor are different, so the sign of quotient is negative.
So, in the left hand side the direction of the arrow represents the dividend point, dividend =−39.
Sign of divisor is equal to negative and sign of quotient is negative.