10 Questions About Integers for 7th Grade

In 7th grade, students typically learn about integers, which are whole numbers that can be positive, negative, or zero. Integers are used to represent quantities that can be either greater than or less than zero.

Here are some key concepts that students in 7th grade might learn about integers:

• Adding and subtracting integers: To add integers, you need to keep the signs and add the absolute values. For example, to add 3 + (-2), you would keep the negative sign and add the absolute values, resulting in 3 - 2 = 1. To subtract integers, you can use the same process, but you need to change the subtraction sign to addition and the second integer's sign to its opposite. For example, to subtract (-3) - 2, you would change the subtraction sign to addition and change the second integer's sign to its opposite, resulting in (-3) + (-2) = -5.
• Multiplying and dividing integers: To multiply integers, you need to multiply the absolute values and keep the same sign if both integers are the same, or change the sign to negative if the integers are different. For example, (-3) x 2 = -6, and 3 x (-2) = -6. To divide integers, you need to divide the absolute values and keep the same sign if both integers are the same, or change the sign to negative if the integers are different. For example, (-6) ÷ 2 = -3, and 6 ÷ (-2) = -3.
• Order of operations: It's important to remember the order of operations when working with integers. The order of operations is a set of rules that tells you the order in which you should solve calculations. The order of operations is usually abbreviated as PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This means that you should solve calculations inside parentheses first, then solve any exponents, then perform any multiplications and divisions (working from left to right), and finally perform any additions and subtractions (working from left to right).

Integers

10 Questions

1.

Compare:  -9  __ -1

A >

B =

C <

2.

Order from smallest to greatest:

8, 4, -5, 12, -14, 3

A -14, -5, 3, 4, 8, 12

B 3, 4, -5, 8, 12, -14

C -5, -14, 3, 4, 8, 12

D 12, -14, -5, 3, 4, 8

3.

10 + (-4) = ?

A 14

B -14

C -6

D 6

4. 5-19

A -14

B -24

C 14

D 24

5. 12−(−8)=.....  

A 4

B -4

C 20

D -20

6. The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?

A 11 degrees

B 10 degrees

C 12 degrees

D 3 degrees

7.

5×(−6)=....

A -30

B 30

C -11

D -15

8. 12÷(−4)×5=....

A 20

B -15

C 15

D -20

9.

 −4+5×2−6=....−4+5×2−6=....  

A 3

B 0

C 1

D 2

10.

A submarine descends below the surface of the water at a rate of 250 feet each minute. What is the depth of the submarine after 4 minutes?

A -254 feet

B -1,000 feet

C -246 feet

D -62.5 feet

Answer Key

1.c

2.a

3.d

4.a

5.c

6.a

7.a

8.b

9.b

10.b 

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