6th grade math worksheets pdf | grade 6 math worksheets pdf - Free Printable
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Step-by-step solution for: 6th grade math worksheets pdf | grade 6 math worksheets pdf
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Show Answer Key & Explanations
Step-by-step solution for: 6th grade math worksheets pdf | grade 6 math worksheets pdf
To solve the problem, we need to find the missing integers in each equation. Let's go through each equation step by step.
- We need to find a number that, when added to 20, gives 16.
- Subtract 20 from both sides:
\[
\square = 16 - 20 = -4
\]
- So, the answer is: \(\boxed{-4}\).
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 7 = 20
\]
- Subtract 7 from both sides:
\[
\square = 20 - 7 = 13
\]
- So, the answer is: \(\boxed{13}\).
- We need to find a number that, when added to -13, gives -11.
- Add 13 to both sides:
\[
\square = -11 + 13 = 2
\]
- So, the answer is: \(\boxed{2}\).
- We need to find a number that, when 5 is subtracted from it, gives -20.
- Add 5 to both sides:
\[
\square = -20 + 5 = -15
\]
- So, the answer is: \(\boxed{-15}\).
- We need to find a number that, when added to -18, gives -20.
- Add 18 to both sides:
\[
\square = -20 + 18 = -2
\]
- So, the answer is: \(\boxed{-2}\).
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 7 = -5
\]
- Subtract 7 from both sides:
\[
\square = -5 - 7 = -12
\]
- So, the answer is: \(\boxed{-12}\).
- We need to find a number that, when added to 11, gives 4.
- Subtract 11 from both sides:
\[
\square = 4 - 11 = -7
\]
- So, the answer is: \(\boxed{-7}\).
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 6 = -5
\]
- Subtract 6 from both sides:
\[
\square = -5 - 6 = -11
\]
- So, the answer is: \(\boxed{-11}\).
- We need to find a number that, when added to 17, gives 10.
- Subtract 17 from both sides:
\[
\square = 10 - 17 = -7
\]
- So, the answer is: \(\boxed{-7}\).
- We need to find a number that, when 2 is subtracted from it, gives -12.
- Add 2 to both sides:
\[
\square = -12 + 2 = -10
\]
- So, the answer is: \(\boxed{-10}\).
- We need to find a number that, when added to 18, gives 11.
- Subtract 18 from both sides:
\[
\square = 11 - 18 = -7
\]
- So, the answer is: \(\boxed{-7}\).
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 1 = -14
\]
- Subtract 1 from both sides:
\[
\square = -14 - 1 = -15
\]
- So, the answer is: \(\boxed{-15}\).
- We need to find a number that, when added to -10, gives -16.
- Add 10 to both sides:
\[
\square = -16 + 10 = -6
\]
- So, the answer is: \(\boxed{-6}\).
- We need to find a number that, when added to 12, gives -1.
- Subtract 12 from both sides:
\[
\square = -1 - 12 = -13
\]
- So, the answer is: \(\boxed{-13}\).
- We need to find a number that, when added to -11, gives -20.
- Add 11 to both sides:
\[
\square = -20 + 11 = -9
\]
- So, the answer is: \(\boxed{-9}\).
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 6 = 18
\]
- Subtract 6 from both sides:
\[
\square = 18 - 6 = 12
\]
- So, the answer is: \(\boxed{12}\).
- We need to find a number that, when subtracted from -18, gives -11.
- Add \(\square\) to both sides and add 11 to both sides:
\[
-18 + 11 = \square
\]
\[
\square = -7
\]
- So, the answer is: \(\boxed{-7}\).
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 1 = 11
\]
- Subtract 1 from both sides:
\[
\square = 11 - 1 = 10
\]
- So, the answer is: \(\boxed{10}\).
- We need to find a number that, when added to -18, gives -15.
- Add 18 to both sides:
\[
\square = -15 + 18 = 3
\]
- So, the answer is: \(\boxed{3}\).
- We need to find a number that, when added to 11, gives -4.
- Subtract 11 from both sides:
\[
\square = -4 - 11 = -15
\]
- So, the answer is: \(\boxed{-15}\).
- We need to find a number that, when added to 20, gives 13.
- Subtract 20 from both sides:
\[
\square = 13 - 20 = -7
\]
- So, the answer is: \(\boxed{-7}\).
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 8 = 20
\]
- Subtract 8 from both sides:
\[
\square = 20 - 8 = 12
\]
- So, the answer is: \(\boxed{12}\).
- We need to find a number that, when added to -18, gives -20.
- Add 18 to both sides:
\[
\square = -20 + 18 = -2
\]
- So, the answer is: \(\boxed{-2}\).
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 7 = 6
\]
- Subtract 7 from both sides:
\[
\square = 6 - 7 = -1
\]
- So, the answer is: \(\boxed{-1}\).
- We need to find a number that, when added to 13, gives 7.
- Subtract 13 from both sides:
\[
\square = 7 - 13 = -6
\]
- So, the answer is: \(\boxed{-6}\).
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 6 = 18
\]
- Subtract 6 from both sides:
\[
\square = 18 - 6 = 12
\]
- So, the answer is: \(\boxed{12}\).
- We need to find a number that, when subtracted from 10, gives 20.
- Add \(\square\) to both sides and subtract 20 from both sides:
\[
10 - 20 = \square
\]
\[
\square = -10
\]
- So, the answer is: \(\boxed{-10}\).
- Adding a negative is the same as subtracting a positive.
- Simplify:
\[
\square - 8 = -20
\]
- Add 8 to both sides:
\[
\square = -20 + 8 = -12
\]
- So, the answer is: \(\boxed{-12}\).
- We need to find a number that, when subtracted from -18, gives -10.
- Add \(\square\) to both sides and add 10 to both sides:
\[
-18 + 10 = \square
\]
\[
\square = -8
\]
- So, the answer is: \(\boxed{-8}\).
- Adding a negative is the same as subtracting a positive.
- Simplify:
\[
\square - 17 = -3
\]
- Add 17 to both sides:
\[
\square = -3 + 17 = 14
\]
- So, the answer is: \(\boxed{14}\).
\[
\boxed{
\begin{array}{ccc}
-4 & 13 & 2 \\
-15 & -2 & -12 \\
-7 & -11 & -7 \\
-10 & -7 & -15 \\
-6 & -13 & -9 \\
12 & -7 & 10 \\
3 & -15 & -7 \\
12 & -2 & -1 \\
-6 & 12 & -10 \\
-12 & -8 & 14 \\
\end{array}
}
\]
Equation 1: \( 20 + \square = 16 \)
- We need to find a number that, when added to 20, gives 16.
- Subtract 20 from both sides:
\[
\square = 16 - 20 = -4
\]
- So, the answer is: \(\boxed{-4}\).
Equation 2: \( \square - (-7) = 20 \)
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 7 = 20
\]
- Subtract 7 from both sides:
\[
\square = 20 - 7 = 13
\]
- So, the answer is: \(\boxed{13}\).
Equation 3: \( -13 + \square = -11 \)
- We need to find a number that, when added to -13, gives -11.
- Add 13 to both sides:
\[
\square = -11 + 13 = 2
\]
- So, the answer is: \(\boxed{2}\).
Equation 4: \( \square - 5 = -20 \)
- We need to find a number that, when 5 is subtracted from it, gives -20.
- Add 5 to both sides:
\[
\square = -20 + 5 = -15
\]
- So, the answer is: \(\boxed{-15}\).
Equation 5: \( -18 + \square = -20 \)
- We need to find a number that, when added to -18, gives -20.
- Add 18 to both sides:
\[
\square = -20 + 18 = -2
\]
- So, the answer is: \(\boxed{-2}\).
Equation 6: \( \square - (-7) = -5 \)
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 7 = -5
\]
- Subtract 7 from both sides:
\[
\square = -5 - 7 = -12
\]
- So, the answer is: \(\boxed{-12}\).
Equation 7: \( 11 + \square = 4 \)
- We need to find a number that, when added to 11, gives 4.
- Subtract 11 from both sides:
\[
\square = 4 - 11 = -7
\]
- So, the answer is: \(\boxed{-7}\).
Equation 8: \( \square - (-6) = -5 \)
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 6 = -5
\]
- Subtract 6 from both sides:
\[
\square = -5 - 6 = -11
\]
- So, the answer is: \(\boxed{-11}\).
Equation 9: \( 17 + \square = 10 \)
- We need to find a number that, when added to 17, gives 10.
- Subtract 17 from both sides:
\[
\square = 10 - 17 = -7
\]
- So, the answer is: \(\boxed{-7}\).
Equation 10: \( \square - 2 = -12 \)
- We need to find a number that, when 2 is subtracted from it, gives -12.
- Add 2 to both sides:
\[
\square = -12 + 2 = -10
\]
- So, the answer is: \(\boxed{-10}\).
Equation 11: \( 18 + \square = 11 \)
- We need to find a number that, when added to 18, gives 11.
- Subtract 18 from both sides:
\[
\square = 11 - 18 = -7
\]
- So, the answer is: \(\boxed{-7}\).
Equation 12: \( \square - (-1) = -14 \)
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 1 = -14
\]
- Subtract 1 from both sides:
\[
\square = -14 - 1 = -15
\]
- So, the answer is: \(\boxed{-15}\).
Equation 13: \( -10 + \square = -16 \)
- We need to find a number that, when added to -10, gives -16.
- Add 10 to both sides:
\[
\square = -16 + 10 = -6
\]
- So, the answer is: \(\boxed{-6}\).
Equation 14: \( \square + 12 = -1 \)
- We need to find a number that, when added to 12, gives -1.
- Subtract 12 from both sides:
\[
\square = -1 - 12 = -13
\]
- So, the answer is: \(\boxed{-13}\).
Equation 15: \( -11 + \square = -20 \)
- We need to find a number that, when added to -11, gives -20.
- Add 11 to both sides:
\[
\square = -20 + 11 = -9
\]
- So, the answer is: \(\boxed{-9}\).
Equation 16: \( \square - (-6) = 18 \)
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 6 = 18
\]
- Subtract 6 from both sides:
\[
\square = 18 - 6 = 12
\]
- So, the answer is: \(\boxed{12}\).
Equation 17: \( -18 - \square = -11 \)
- We need to find a number that, when subtracted from -18, gives -11.
- Add \(\square\) to both sides and add 11 to both sides:
\[
-18 + 11 = \square
\]
\[
\square = -7
\]
- So, the answer is: \(\boxed{-7}\).
Equation 18: \( \square - (-1) = 11 \)
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 1 = 11
\]
- Subtract 1 from both sides:
\[
\square = 11 - 1 = 10
\]
- So, the answer is: \(\boxed{10}\).
Equation 19: \( -18 + \square = -15 \)
- We need to find a number that, when added to -18, gives -15.
- Add 18 to both sides:
\[
\square = -15 + 18 = 3
\]
- So, the answer is: \(\boxed{3}\).
Equation 20: \( \square + 11 = -4 \)
- We need to find a number that, when added to 11, gives -4.
- Subtract 11 from both sides:
\[
\square = -4 - 11 = -15
\]
- So, the answer is: \(\boxed{-15}\).
Equation 21: \( 20 + \square = 13 \)
- We need to find a number that, when added to 20, gives 13.
- Subtract 20 from both sides:
\[
\square = 13 - 20 = -7
\]
- So, the answer is: \(\boxed{-7}\).
Equation 22: \( \square - (-8) = 20 \)
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 8 = 20
\]
- Subtract 8 from both sides:
\[
\square = 20 - 8 = 12
\]
- So, the answer is: \(\boxed{12}\).
Equation 23: \( -18 + \square = -20 \)
- We need to find a number that, when added to -18, gives -20.
- Add 18 to both sides:
\[
\square = -20 + 18 = -2
\]
- So, the answer is: \(\boxed{-2}\).
Equation 24: \( \square - (-7) = 6 \)
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 7 = 6
\]
- Subtract 7 from both sides:
\[
\square = 6 - 7 = -1
\]
- So, the answer is: \(\boxed{-1}\).
Equation 25: \( 13 + \square = 7 \)
- We need to find a number that, when added to 13, gives 7.
- Subtract 13 from both sides:
\[
\square = 7 - 13 = -6
\]
- So, the answer is: \(\boxed{-6}\).
Equation 26: \( \square - (-6) = 18 \)
- Subtracting a negative is the same as adding a positive.
- Simplify:
\[
\square + 6 = 18
\]
- Subtract 6 from both sides:
\[
\square = 18 - 6 = 12
\]
- So, the answer is: \(\boxed{12}\).
Equation 27: \( 10 - \square = 20 \)
- We need to find a number that, when subtracted from 10, gives 20.
- Add \(\square\) to both sides and subtract 20 from both sides:
\[
10 - 20 = \square
\]
\[
\square = -10
\]
- So, the answer is: \(\boxed{-10}\).
Equation 28: \( \square + (-8) = -20 \)
- Adding a negative is the same as subtracting a positive.
- Simplify:
\[
\square - 8 = -20
\]
- Add 8 to both sides:
\[
\square = -20 + 8 = -12
\]
- So, the answer is: \(\boxed{-12}\).
Equation 29: \( -18 - \square = -10 \)
- We need to find a number that, when subtracted from -18, gives -10.
- Add \(\square\) to both sides and add 10 to both sides:
\[
-18 + 10 = \square
\]
\[
\square = -8
\]
- So, the answer is: \(\boxed{-8}\).
Equation 30: \( \square + (-17) = -3 \)
- Adding a negative is the same as subtracting a positive.
- Simplify:
\[
\square - 17 = -3
\]
- Add 17 to both sides:
\[
\square = -3 + 17 = 14
\]
- So, the answer is: \(\boxed{14}\).
Final Answer:
\[
\boxed{
\begin{array}{ccc}
-4 & 13 & 2 \\
-15 & -2 & -12 \\
-7 & -11 & -7 \\
-10 & -7 & -15 \\
-6 & -13 & -9 \\
12 & -7 & 10 \\
3 & -15 & -7 \\
12 & -2 & -1 \\
-6 & 12 & -10 \\
-12 & -8 & 14 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of grade 6 math worksheets.