Test: Multiplication and Division - Class 5 MCQ

In lattice multiplication, you create a grid and multiply each digit pair, placing the results in the grid. After summing the diagonal totals, you find that the product of 5,479 and 678 is 3,714,762. This method is visually appealing and helps in organizing large-number multiplications.

To estimate the product, round 3,075 to 3,100 and 216 to 200. Multiplying these rounded numbers gives an estimated product of 620,000. Estimating helps to quickly assess the scale of the answer without exact calculations.

When dividing a number by a divisor that ends in zeros, you can cancel an equal number of zeros from both the dividend and divisor. This simplifies the division. After dividing the remaining numbers, if there are leftover digits, you add zeros back to the remainder if necessary.

The expanded form of 1,618 is composed of its place values: 1,000 (one thousand), 600 (six hundred), 10 (ten), and 8 (eight). This representation aids in understanding the value of each digit based on its position.

Dividing 876 by 45 gives a quotient of 19 with a remainder of 21. To accommodate the remaining cookies, an additional box is necessary, leading to a total of 20 boxes. This application of division in packaging illustrates practical math skills.

To find the product of 2,169 and 57, we first multiply 2,169 by 7 (the ones place of 57), which gives us 15,183. Next, we multiply 2,169 by 50 (the tens place), resulting in 108,450. Adding these products together, 15,183 + 108,450 equals 123,633. This method illustrates the step-by-step process of long multiplication.

To find the total earnings, multiply Amaya's daily earnings (₹2,500) by the number of days (31). The calculation is ₹2,500 × 31 = ₹77,500. This example illustrates how multiplication can be used for calculating total earnings over a period.

To multiply 7,215 by 2,000, first calculate 7,215 × 2 = 14,430, then add three zeros for the final product, which is 14,430,000. This highlights how multiplying by powers of ten simplifies calculations.

The process of using a grid to multiply numbers is known as lattice multiplication. This method organizes the multiplication of large numbers in a structured way, making it easier to visualize and calculate the product.

When dividing 876 by 45, the quotient is 19 with a remainder of 21. Since there are leftover cookies, you would need an additional box, bringing the total to 20 boxes. This shows how division can be applied in real-life scenarios like packaging.

Using the long multiplication method, multiplying 4,396 by 158 results in a product of 694,568. This calculation involves breaking down the multiplication into manageable steps and adding the partial products.

When dividing 225 by 15, the quotient is 15 with a remainder of 0. This means that 225 is completely divisible by 15, demonstrating the concept of division with no leftovers.

To multiply large numbers using expanded form, first break each number into its place value parts. Then, multiply each part of the multiplicand by each part of the multiplier and finally add all the partial products to achieve the final result.

When multiplying by 10, you simply add one zero to the end of the multiplicand. Therefore, 7,645 multiplied by 10 equals 76,450. This illustrates how multiplying by powers of ten simplifies calculations.

To frame a word problem, you create a scenario where one number (2,500 flowers) is multiplied by another (31 gardens) to find the total. This allows students to connect mathematical operations to real-world contexts.

To create a multiplication table for 11 using repeated addition, you add 11 to itself for each multiple. For example, 1 time is 11, 2 times is 22 (11 + 11), and so on until you reach 10 times, which equals 110. This method shows a fundamental concept of multiplication as repeated addition.

Dividing by 10 means that the ones digit becomes the remainder while the other digits form the quotient. Thus, when 2,046 is divided by 10, the quotient is 204 and the remainder is 6.

Rounding 8,346 to 8,350 and 17 to 20 gives an estimated quotient of 8,350 ÷ 20 = 417. This method of estimation helps quickly assess division results without exact calculations.

When dividing 249 by 14 using long division, the quotient is 17 and the remainder is 11. This shows the step-by-step division process, including how to bring down numbers and subtract.

In division, the "dividend" is the number that is being divided by another number (the divisor). Understanding these terms is crucial for mastering division concepts.