Yentorn the Foulowing calculations, using the associative property. Show which number
have grouped together by using brackets. Don’t use a calculator.

Ask by Matthews Carrillo. in South Africa

Jan 21,2025

Question

Yentorn the Foulowing calculations, using the associative property. Show which number
have grouped together by using brackets. Don’t use a calculator.

Ask by Matthews Carrillo. in South Africa

Jan 21,2025

UpStudy AI · Accepted Answer

Certainly! Let's solve each calculation using the **associative property**, which allows us to regroup numbers without changing their final sum or product. We'll use brackets to show how the numbers are grouped together for easier computation.

---

### **(1) Addition: $$9 + 3 + 8 + 7 + 1 + 2 + 5 + 9 + 5$$**

**Step 1: Group numbers that add up to 10 or make the calculation simpler.**

$$
(9 + 1) + (3 + 7) + (8 + 2) + (5 + 5) + 9
$$

**Step 2: Calculate each group.**

$$
10 + 10 + 10 + 10 + 9
$$

**Step 3: Add the results together.**

$$
10 + 10 + 10 + 10 = 40 \
40 + 9 = **49**
$$

**Final Answer:** $$9 + 3 + 8 + 7 + 1 + 2 + 5 + 9 + 5 = 49$$

---

### **(2) Multiplication: $$2 \times 8 \times 5 \times 4 \times 25 \times 125 \times 7$$**

**Step 1: Group numbers to simplify multiplication, preferably pairing numbers that result in round numbers.**

$$
(2 \times 8) \times (5 \times 4) \times (25 \times 125) \times 7
$$

**Step 2: Calculate each group.**

$$
16 \times 20 \times 3125 \times 7
$$

**Step 3: Multiply the results step by step.**

1. **Multiply 16 and 20:**

$$
16 \times 20 = 320
$$

2. **Multiply the result by 3125:**

$$
320 \times 3125 = 1,000,000
$$

3. **Multiply the result by 7:**

$$
1,000,000 \times 7 = **7,000,000**
$$

**Final Answer:** $$2 \times 8 \times 5 \times 4 \times 25 \times 125 \times 7 = 7,000,000$$

---

By strategically grouping numbers using the associative property, we've simplified both addition and multiplication to arrive at the final results efficiently.
**Simplified Answers:** 1. $$9 + 3 + 8 + 7 + 1 + 2 + 5 + 9 + 5 = 49$$ 2. $$2 \times 8 \times 5 \times 4 \times 25 \times 125 \times 7 = 7,000,000$$

Yentorn the Foulowing calculations, using the associative property. Show which number
have grouped together by using brackets. Don’t use a calculator.

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Yentorn the Foulowing calculations, using the associative property. Show which number have grouped together by using brackets. Don’t use a calculator.

Upstudy AI Solution

Answer

Solution

Extra Insights

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Yentorn the Foulowing calculations, using the associative property. Show which number
have grouped together by using brackets. Don’t use a calculator.