50+ Integers and Rational Numbers worksheets for 7th Grade on ... - Free Printable

Let's solve each problem step by step:

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Problem 1: Order from least to greatest

Numbers: \( -4, 3, -2, 0, 1 \)

To order these numbers from least to greatest:
- Start with the smallest number: \( -4 \)
- Next is \( -2 \)
- Then comes \( 0 \)
- Followed by \( 1 \)
- Finally, the largest number is \( 3 \)

So, the ordered list is:
\[ -4, -2, 0, 1, 3 \]

Correct Answer:
B. \( -4, -2, 0, 1, 3 \)

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Problem 2: Order the integers from least to greatest

Numbers: \( 7, -6, 5, -8, -3 \)

To order these numbers from least to greatest:
- Start with the smallest number: \( -8 \)
- Next is \( -6 \)
- Then comes \( -3 \)
- Followed by \( 5 \)
- Finally, the largest number is \( 7 \)

So, the ordered list is:
\[ -8, -6, -3, 5, 7 \]

Correct Answer:
D. \( -8, -6, -3, 5, 7 \)

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Problem 3: Find the absolute value of \( |5^2| \)

First, calculate \( 5^2 \):
\[ 5^2 = 25 \]

The absolute value of \( 25 \) is:
\[ |25| = 25 \]

Correct Answer:
C. \( 25 \)

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Problem 4: Find the absolute value of \( |-3^2| \)

First, calculate \( -3^2 \):
\[ -3^2 = -(3^2) = -(9) = -9 \]

Now, find the absolute value of \( -9 \):
\[ |-9| = 9 \]

Correct Answer:
C. \( 9 \)

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Problem 5: Evaluate each expression \( b - a \) for \( a = -3 \) and \( b = -7 \)

Substitute the given values into the expression \( b - a \):
\[ b - a = (-7) - (-3) \]

Simplify the subtraction:
\[ (-7) - (-3) = -7 + 3 = -4 \]

Correct Answer:
D. \( -4 \)

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Problem 6: Evaluate expression \( a + 2b \) for \( a = -3 \) and \( b = -7 \)

Substitute the given values into the expression \( a + 2b \):
\[ a + 2b = (-3) + 2(-7) \]

First, calculate \( 2(-7) \):
\[ 2(-7) = -14 \]

Now, add \( -3 \) and \( -14 \):
\[ (-3) + (-14) = -17 \]

Correct Answer:
A. \( -17 \)

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Problem 7: Evaluate expression \( ab \) for \( a = -4 \) and \( b = -5 \)

Substitute the given values into the expression \( ab \):
\[ ab = (-4)(-5) \]

Multiply the numbers:
\[ (-4)(-5) = 20 \]

Correct Answer:
20

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Final Answers:

1. B. \( -4, -2, 0, 1, 3 \)
2. D. \( -8, -6, -3, 5, 7 \)
3. C. \( 25 \)
4. C. \( 9 \)
5. D. \( -4 \)
6. A. \( -17 \)
7. 20

Boxed Final Answer:
\[
\boxed{B, D, C, C, D, A, 20}
\]