find the product or quotient. write the strategy you used, write model, break apart, multiplication table, inverse operations, pattern, or doubles
Product or quotient of what?
0 iq
To find the product or quotient, you can use several strategies. Here are some common strategies:
1. Model: You can use visual models, such as arrays or area models, to represent the numbers involved and then count the total. For example, if you need to find the product of 3 and 4, you can draw three rows with four columns each and count the total number of boxes.
Strategy: Use a model and count the total.
2. Break Apart: You can break down the numbers into smaller parts, find the products or quotients of those parts, and then combine the results. For example, to find the product of 6 and 5, you can break down 6 as 3 + 3 and multiply each part by 5, then add the results together.
Strategy: Break apart the numbers, perform operations on the parts, and combine the results.
3. Multiplication Table: You can use a multiplication table to find the product or quotient. Look for the two numbers involved and find their intersection on the table. For example, to find the product of 7 and 8, locate the row with 7 and the column with 8, and find the number where they intersect.
Strategy: Use a multiplication table to find the answer.
4. Inverse Operations: For division problems, you can use the inverse operation of multiplication to find the quotient. If you know the product and one of the factors, you can divide the product by the known factor to find the other factor. For example, if the product is 24 and one factor is 6, you can divide 24 by 6 to find the other factor.
Strategy: Use the inverse operation of multiplication (division) to find the answer.
5. Pattern: You can look for patterns in the numbers involved and use that pattern to find the product or quotient. For example, if you need to find the product of 9 and 5, you can notice that multiplying by 10 and then subtracting the original number would give you the answer (9 × 5 = (9 × 10) - 9).
Strategy: Use a pattern to find the answer.
6. Doubles: If the numbers involved are close to doubles (e.g., 6 and 7 or 8 and 9), you can use the doubling and halving strategy. For example, to find the product of 8 and 7, double both numbers (8 × 2 = 16, 7 × 2 = 14), and then multiply the halved numbers by the doubled numbers (4 × 16 = 64, 3.5 × 14 = 49). Finally, add the results together (64 + 49 = 113).
Strategy: Use the doubling and halving strategy to find the answer.
When solving a specific problem, you can select the strategy that works best for you based on the numbers involved and your own mathematical understanding.