4. Use the distributive property to complete the following: a) $$ 5 imes(9-2)=(5 imes $$ $$ \qquad $$ ) - (5 $$ imes $$ $$ \qquad $$ )= $$ \qquad $$ $$ \qquad $$ $$ \qquad $$ b) $$ 50(80+5)=( $$ $$ imes 80)+( $$ $$ \qquad $$ $$ imes 5)= $$ $$ \qquad $$ $$ + $$ $$ \qquad $$ $$ = $$ $$ \qquad $$ c) $$ 8 imes 32=8 imes(30+ $$ $$ \qquad $$ $$ )=(8 imes 30)+(8 imes $$ $$ \qquad $$ )= $$ \qquad $$ $$ + $$ $$ \qquad $$ $$ = $$ $$ \qquad $$ d) $$ 48 imes 9=(50- $$ $$ \qquad $$ $$ ) imes 9=(50 imes 9)-(2 imes $$ $$ \qquad $$ ) $$ = $$ $$ \qquad $$ - $$ \qquad $$ $$ = $$ $$ \qquad $$ c) $$ 12(100+80)=( $$ $$ \qquad $$ $$ imes 100)+( $$ $$ \qquad $$ $$ imes 80)= $$ $$ \qquad $$ $$ + $$ $$ \qquad $$ $$ = $$ $$ \qquad $$ Complete the following to make the sentences true: a) $$ 256813 imes $$ $$ \qquad $$ $$ =256813 $$ b) $$ 0+34850= $$ $$ \qquad $$ c) $$ \qquad $$ $$ +10380=10380 $$ d) $$ 1 imes $$ $$ \qquad $$ $$ =346782 $$ e) $$ 0 \div 80= $$ $$ \qquad $$ f) $$ 315 \div 0= $$ $$ \qquad $$

Question

4. Use the distributive property to complete the following: a) $$ 5 	imes(9-2)=(5 	imes $$ $$ \qquad $$ ) - (5 $$ 	imes $$ $$ \qquad $$ )= $$ \qquad $$ $$ \qquad $$ $$ \qquad $$ b) $$ 50(80+5)=( $$ $$ 	imes 80)+( $$ $$ \qquad $$ $$ 	imes 5)= $$ $$ \qquad $$ $$ + $$ $$ \qquad $$ $$ = $$ $$ \qquad $$ c) $$ 8 	imes 32=8 	imes(30+ $$ $$ \qquad $$ $$ )=(8 	imes 30)+(8 	imes $$ $$ \qquad $$ )= $$ \qquad $$ $$ + $$ $$ \qquad $$ $$ = $$ $$ \qquad $$ d) $$ 48 	imes 9=(50- $$ $$ \qquad $$ $$ ) 	imes 9=(50 	imes 9)-(2 	imes $$ $$ \qquad $$ ) $$ = $$ $$ \qquad $$ - $$ \qquad $$ $$ = $$ $$ \qquad $$ c) $$ 12(100+80)=( $$ $$ \qquad $$ $$ 	imes 100)+( $$ $$ \qquad $$ $$ 	imes 80)= $$ $$ \qquad $$ $$ + $$ $$ \qquad $$ $$ = $$ $$ \qquad $$ Complete the following to make the sentences true: a) $$ 256813 	imes $$ $$ \qquad $$ $$ =256813 $$ b) $$ 0+34850= $$ $$ \qquad $$ c) $$ \qquad $$ $$ +10380=10380 $$ d) $$ 1 	imes $$ $$ \qquad $$ $$ =346782 $$ e) $$ 0 \div 80= $$ $$ \qquad $$ f) $$ 315 \div 0= $$ $$ \qquad $$

UpStudy AI · Accepted Answer

Sure, let's work through each part step by step using the distributive property and complete the sentences accordingly.

---

### **4. Use the Distributive Property to Complete the Following:**

#### **a)**
$$
5 \times (9 - 2) = (5 \times \underline{9}) - (5 \times \underline{2}) = \underline{35}
$$
**Explanation:**
$$
5 \times 9 = 45
$$
$$
5 \times 2 = 10
$$
$$
45 - 10 = 35
$$

---

#### **b)**
$$
50(80 + 5) = (50 \times 80) + (50 \times \underline{5}) = \underline{4000} + \underline{250} = \underline{4250}
$$
**Explanation:**
$$
50 \times 80 = 4000
$$
$$
50 \times 5 = 250
$$
$$
4000 + 250 = 4250
$$

---

#### **c)**
$$
8 \times 32 = 8 \times (30 + \underline{2}) = (8 \times 30) + (8 \times \underline{2}) = \underline{240} + \underline{16} = \underline{256}
$$
**Explanation:**
$$
8 \times 30 = 240
$$
$$
8 \times 2 = 16
$$
$$
240 + 16 = 256
$$

---

#### **d)**
$$
48 \times 9 = (50 - \underline{2}) \times 9 = (50 \times 9) - (2 \times \underline{9}) = \underline{450} - \underline{18} = \underline{432}
$$
**Explanation:**
$$
50 \times 9 = 450
$$
$$
2 \times 9 = 18
$$
$$
450 - 18 = 432
$$

---

#### **e)**
$$
12(100 + 80) = (12 \times \underline{100}) + (12 \times \underline{80}) = \underline{1200} + \underline{960} = \underline{2160}
$$
**Explanation:**
$$
12 \times 100 = 1200
$$
$$
12 \times 80 = 960
$$
$$
1200 + 960 = 2160
$$

---

### **Complete the Following to Make the Sentences True:**

#### **a)**
$$
256813 \times \underline{1} = 256813
$$
**Explanation:** Any number multiplied by 1 remains unchanged.

---

#### **b)**
$$
0 + 34850 = \underline{34850}
$$
**Explanation:** Adding 0 to any number leaves it unchanged.

---

#### **c)**
$$
\underline{0} + 10380 = 10380
$$
**Explanation:** Adding 0 to 10380 gives 10380.

---

#### **d)**
$$
1 \times \underline{346782} = 346782
$$
**Explanation:** Any number multiplied by 1 remains unchanged.

---

#### **e)**
$$
0 \div 80 = \underline{0}
$$
**Explanation:** Zero divided by any non-zero number is 0.

---

#### **f)**
$$
315 \div 0 = \underline{\text{Undefined}}
$$
**Explanation:** Division by zero is undefined in mathematics.

---

Feel free to ask if you have any more questions or need further clarification!
a) $$ 5 \times (9 - 2) = (5 \times 9) - (5 \times 2) = 35 $$ b) $$ 50(80 + 5) = (50 \times 80) + (50 \times 5) = 4000 + 250 = 4250 $$ c) $$ 8 \times 32 = 8 \times (30 + 2) = (8 \times 30) + (8 \times 2) = 240 + 16 = 256 $$ d) $$ 48 \times 9 = (50 - 2) \times 9 = (50 \times 9) - (2 \times 9) = 450 - 18 = 432 $$ e) $$ 12(100 + 80) = (12 \times 100) + (12 \times 80) = 1200 + 960 = 2160 $$ a) $$ 256813 \times 1 = 256813 $$ b) $$ 0 + 34850 = 34850 $$ c) $$ 0 + 10380 = 10380 $$ d) $$ 1 \times 346782 = 346782 $$ e) $$ 0 \div 80 = 0 $$ f) $$ 315 \div 0 = $$ Undefined

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