https://file.aiquickdraw.com/mathbot/file/1727037505860o9k5molx.jpg

Let's start with problem 5, which asks to estimate and calculate the products of the given multiplications:

### 5) Estime le produit ; Calcule le produit:

#### a) \( 24 \times 35 \)
1. **Estimation**: Round 24 to 20 and 35 to 30. Estimate: \( 20 \times 30 = 600 \).
2. **Exact Calculation**: \( 24 \times 35 = 840 \).

#### b) \( 47 \times (-28) \)
1. **Estimation**: Round 47 to 50 and -28 to -30. Estimate: \( 50 \times (-30) = -1500 \).
2. **Exact Calculation**: \( 47 \times (-28) = -1316 \).

#### c) \( -58 \times (-18) \)
1. **Estimation**: Round -58 to -60 and -18 to -20. Estimate: \( -60 \times (-20) = 1200 \).
2. **Exact Calculation**: \( -58 \times (-18) = 1044 \).

#### d) \( -63 \times 46 \)
1. **Estimation**: Round -63 to -60 and 46 to 50. Estimate: \( -60 \times 50 = -3000 \).
2. **Exact Calculation**: \( -63 \times 46 = -2898 \).

#### e) \( -24 \times 88 \)
1. **Estimation**: Round -24 to -20 and 88 to 90. Estimate: \( -20 \times 90 = -1800 \).
2. **Exact Calculation**: \( -24 \times 88 = -2112 \).

#### f) \( -18 \times (-52) \)
1. **Estimation**: Round -18 to -20 and -52 to -50. Estimate: \( -20 \times (-50) = 1000 \).
2. **Exact Calculation**: \( -18 \times (-52) = 936 \).

---

Now, let's move to problem 6, which asks to estimate and calculate the quotients of the divisions:

### 6) Estime le quotient ; Calcule le quotient:

#### a) \( 832 \div 16 \)
1. **Estimation**: Round 832 to 800 and 16 to 20. Estimate: \( 800 \div 20 = 40 \).
2. **Exact Calculation**: \( 832 \div 16 = 52 \).

#### b) \( 1008 \div (-21) \)
1. **Estimation**: Round 1008 to 1000 and -21 to -20. Estimate: \( 1000 \div (-20) = -50 \).
2. **Exact Calculation**: \( 1008 \div (-21) = -48 \).

#### c) \( -1065 \div (-15) \)
1. **Estimation**: Round -1065 to -1050 and -15 to -15. Estimate: \( -1050 \div (-15) = 70 \).
2. **Exact Calculation**: \( -1065 \div (-15) = 71 \).

#### d) \( -1326 \div 26 \)
1. **Estimation**: Round -1326 to -1300 and 26 to 25. Estimate: \( -1300 \div 25 = -52 \).
2. **Exact Calculation**: \( -1326 \div 26 = -51 \).

#### e) \( 748 \div 22 \)
1. **Estimation**: Round 748 to 750 and 22 to 25. Estimate: \( 750 \div 25 = 30 \).
2. **Exact Calculation**: \( 748 \div 22 = 34 \).

#### f) \( -1792 \div 56 \)
1. **Estimation**: Round -1792 to -1800 and 56 to 60. Estimate: \( -1800 \div 60 = -30 \).
2. **Exact Calculation**: \( -1792 \div 56 = -32 \).

---

Do you have any questions about these results or need further details?

Here are 5 related questions you could explore:
1. How do rounding rules affect the estimation accuracy in multiplication?
2. What are the rules for multiplying and dividing negative numbers?
3. Can you estimate the products and quotients using different rounding strategies?
4. How can you check the correctness of your exact calculations?
5. How would these problems change if you used fractions instead of whole numbers?

**Tip:** When estimating, try to round numbers in such a way that simplifies the calculations but remains close to the original values.

Estimate and calculate the products for the given multiplication problems and the quotients for the division problems.

Learn how to estimate and calculate products and quotients for multiplication and division problems involving positive and negative numbers. This exercise covers key concepts in arithmetic and estimation. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation