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Math worksheet for estimating and comparing sums and differences.

A math worksheet titled "Estimate & Compare" with problems involving estimating sums and differences and comparing them using inequality symbols.

A math worksheet titled "Estimate & Compare" with problems involving estimating sums and differences and comparing them using inequality symbols.

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ID: #421085
Show Answer Key & Explanations Step-by-step solution for: Estimating Products & Quotients Worksheets
To solve the problem, we need to evaluate each inequality and determine whether it is true or false. Let's go through each part step by step.

---

Part (A): Evaluate the inequalities



#### 1. \( 3 \times 8 > 20 \)
- Calculate \( 3 \times 8 \):
\[
3 \times 8 = 24
\]
- Compare \( 24 \) with \( 20 \):
\[
24 > 20
\]
- This inequality is true.

#### 2. \( 6 + 8 < 15 \)
- Calculate \( 6 + 8 \):
\[
6 + 8 = 14
\]
- Compare \( 14 \) with \( 15 \):
\[
14 < 15
\]
- This inequality is true.

#### 3. \( 99 - 9 > 80 \)
- Calculate \( 99 - 9 \):
\[
99 - 9 = 90
\]
- Compare \( 90 \) with \( 80 \):
\[
90 > 80
\]
- This inequality is true.

#### 4. \( 22 + 5 < 30 \)
- Calculate \( 22 + 5 \):
\[
22 + 5 = 27
\]
- Compare \( 27 \) with \( 30 \):
\[
27 < 30
\]
- This inequality is true.

#### 5. \( 73 - 3 > 60 \)
- Calculate \( 73 - 3 \):
\[
73 - 3 = 70
\]
- Compare \( 70 \) with \( 60 \):
\[
70 > 60
\]
- This inequality is true.

---

Part (B): Solve the equations and compare



#### 1. \( 50 + 30 = 100 - 2 \)
- Calculate \( 50 + 30 \):
\[
50 + 30 = 80
\]
- Calculate \( 100 - 2 \):
\[
100 - 2 = 98
\]
- Compare \( 80 \) with \( 98 \):
\[
80 \neq 98
\]
- This equation is false.

#### 2. \( 492 - 50 = 500 - 8 \)
- Calculate \( 492 - 50 \):
\[
492 - 50 = 442
\]
- Calculate \( 500 - 8 \):
\[
500 - 8 = 492
\]
- Compare \( 442 \) with \( 492 \):
\[
442 \neq 492
\]
- This equation is false.

#### 3. \( 90 - 8 = 80 + 3 \)
- Calculate \( 90 - 8 \):
\[
90 - 8 = 82
\]
- Calculate \( 80 + 3 \):
\[
80 + 3 = 83
\]
- Compare \( 82 \) with \( 83 \):
\[
82 \neq 83
\]
- This equation is false.

#### 4. \( 160 - 4 = 100 + 2 \)
- Calculate \( 160 - 4 \):
\[
160 - 4 = 156
\]
- Calculate \( 100 + 2 \):
\[
100 + 2 = 102
\]
- Compare \( 156 \) with \( 102 \):
\[
156 \neq 102
\]
- This equation is false.

#### 5. \( 300 - 6 = 212 + 8 \)
- Calculate \( 300 - 6 \):
\[
300 - 6 = 294
\]
- Calculate \( 212 + 8 \):
\[
212 + 8 = 220
\]
- Compare \( 294 \) with \( 220 \):
\[
294 \neq 220
\]
- This equation is false.

---

Final Answer



For Part (A), all inequalities are true:
\[
\boxed{\text{True, True, True, True, True}}
\]

For Part (B), all equations are false:
\[
\boxed{\text{False, False, False, False, False}}
\]
Parent Tip: Review the logic above to help your child master the concept of estimating quotients worksheet.
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