To solve the problem of filling in the missing integers, we need to determine the value that makes each equation true. Let's go through each equation step by step.
Equation 1: \(0 + (-13) = \_\_\_\)
- Adding 0 to any number does not change the number.
- Therefore, \(0 + (-13) = -13\).
Equation 2: \(\_\_\_ + 21 = 7\)
- Let the missing integer be \(x\). The equation becomes \(x + 21 = 7\).
- To solve for \(x\), subtract 21 from both sides:
\[
x = 7 - 21 = -14
\]
Equation 3: \(-9 + \_\_\_ = -10\)
- Let the missing integer be \(y\). The equation becomes \(-9 + y = -10\).
- To solve for \(y\), add 9 to both sides:
\[
y = -10 + 9 = -1
\]
Equation 4: \(-18 + \_\_\_ = 6\)
- Let the missing integer be \(z\). The equation becomes \(-18 + z = 6\).
- To solve for \(z\), add 18 to both sides:
\[
z = 6 + 18 = 24
\]
Equation 5: \(\_\_\_ + (-5) = -5\)
- Let the missing integer be \(w\). The equation becomes \(w + (-5) = -5\).
- Simplify the equation:
\[
w - 5 = -5
\]
- Add 5 to both sides:
\[
w = -5 + 5 = 0
\]
Equation 6: \(-11 + \_\_\_ = 0\)
- Let the missing integer be \(a\). The equation becomes \(-11 + a = 0\).
- To solve for \(a\), add 11 to both sides:
\[
a = 0 + 11 = 11
\]
Equation 7: \(6 + (-8) = \_\_\_\)
- Perform the addition:
\[
6 + (-8) = 6 - 8 = -2
\]
Equation 8: \(\_\_\_ + (-16) = 19\)
- Let the missing integer be \(b\). The equation becomes \(b + (-16) = 19\).
- Simplify the equation:
\[
b - 16 = 19
\]
- Add 16 to both sides:
\[
b = 19 + 16 = 35
\]
Equation 9: \(100 + (-11) = \_\_\_\)
- Perform the addition:
\[
100 + (-11) = 100 - 11 = 89
\]
Equation 10: \(\_\_\_ + 0 = 12\)
- Let the missing integer be \(c\). The equation becomes \(c + 0 = 12\).
- Adding 0 does not change the number:
\[
c = 12
\]
Equation 11: \(1.2 + 1.3 = \_\_\_\)
- Perform the addition:
\[
1.2 + 1.3 = 2.5
\]
Equation 12: \(\_\_\_ + 20 = 0\)
- Let the missing integer be \(d\). The equation becomes \(d + 20 = 0\).
- To solve for \(d\), subtract 20 from both sides:
\[
d = 0 - 20 = -20
\]
Equation 13: \(14 + \_\_\_ = -16\)
- Let the missing integer be \(e\). The equation becomes \(14 + e = -16\).
- To solve for \(e\), subtract 14 from both sides:
\[
e = -16 - 14 = -30
\]
Final Answer:
\[
\boxed{-13, -14, -1, 24, 0, 11, -2, 35, 89, 12, 2.5, -20, -30}
\]
Parent Tip: Review the logic above to help your child master the concept of worksheet addition of integers.