Test: Multiplication - Class 4 MCQ

To frame a word problem for multiplication, describe a situation that involves multiplying quantities. For example, you might say, "A farmer has 12 baskets, each containing 15 apples. How many apples does he have in total?" This sets a clear context for the multiplication operation.

The first step when using expanded form to multiply 325 by 9 is to write 325 in expanded form as 300 + 20 + 5. This allows each part to be multiplied by 9 separately, making it easier to compute the final product.

A mixed problem involves combining multiplication with subtraction. For instance, if a factory has 1,000 items and 300 are sold, the problem may involve multiplying the number of items produced and then subtracting the sold items to find how many remain.

The final step in lattice multiplication is to add the products diagonally, carrying over any tens as needed. This allows you to read the final product from left to right, providing the complete answer to the multiplication problem.

When filling a multiplication grid, the operation performed is finding the intersections of products. Each cell in the grid corresponds to the product of the number in the first column and the number in the first row.

A common method to estimate the product of two numbers is to round each number to the nearest ten, hundred, or thousand before multiplying. This allows for a quick approximation that is still close to the actual product.

When estimating the product of 48 and 72, round 48 to 50 and 72 to 70. Then, multiply the rounded numbers: 50 × 70 = 3,500. This estimation helps to quickly assess the range of the actual product.

To construct a multiplication table for the number 8 using skip counting, you count by 8s: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80. This method allows you to quickly identify the products of 8 and the numbers 1 through 10.

The main purpose of multiplication is to combine groups of numbers quickly. For instance, if you have several boxes of candies, rather than counting each candy one by one, multiplication allows you to find the total number of candies efficiently by determining how many candies are in each box and how many boxes there are.

Lattice multiplication is designed to break multiplication into smaller, more manageable steps. By using a grid, each digit of the multiplicand is multiplied by each digit of the multiplier, allowing for a structured approach to arrive at the final product.

When you multiply any number by 1, the number itself remains unchanged. This property is fundamental in multiplication and helps maintain the identity of the original number.

To create a multiplication table using the grid method, write numbers horizontally in the top row and vertically in the first column. Then, multiply the corresponding numbers where they intersect to fill in the grid.

The product of any number multiplied by 0 is always 0. This is a fundamental property of multiplication, highlighting that if there are zero groups of a number, the total is none.

The commutative property of multiplication states that the product remains the same regardless of the order of the numbers. For example, 4 × 5 equals 20, just as 5 × 4 also equals 20.

To find the product of 345 multiplied by 15 using lattice multiplication, you follow the grid method, which ultimately leads to a result of 5,175 when calculated correctly by adding the diagonal sums.

The method of constructing a multiplication table through repeated addition involves adding a number to itself multiple times to find the product. For example, to find 7 multiplied by 3, you would add 7 three times: 7 + 7 + 7 = 21.

When multiplying a number by a number that ends with one zero, you should add one zero to the multiplicand. For example, to multiply 64 by 20, you first multiply 64 by 2 to get 128, and then add the zero to get 1,280.

To multiply two-digit numbers without carrying over, you multiply the multiplicand by the ones digit of the multiplier and then the tens digit, adding a zero to the second product. Finally, the two products are added together to get the final result.

The first step in multiplying 76 by 37 using the carry-over method is to multiply the multiplicand (76) by the ones digit of the multiplier (7). If the result exceeds 9, you carry over the tens to the next place value.

The multiplication of 52 by 9 yields 468, and conversely, multiplying 9 by 52 also gives 468. This illustrates the commutative property of multiplication, which states that changing the order of the factors does not change the product.