Calculating lengthy and complex multiplication problems necessitates the use of multiplication techniques. Multiplication is simple for integers with one, two, and even three digits. However, solving integers with four or more numbers (such as 4, 5, 6, 7, etc.) takes considerable time. As a result, we’ll be picking up some quick-and-dirty arithmetic skills here. Use these tips to boost your exam performance. Sometimes finding the result of 97 multiplied by 4 can be a difficult task.
Multiplication and division, addition and subtraction, differentiation and integration, and so on are only some of the arithmetic computations and operations encountered in the study of mathematics. There is a formula for determining the relationship between numbers in each calculation that considers the specific function being done on those numbers. As well as the procedures, speedy multiplication techniques are always welcome.
What is the difference between A Multiplicand And A Multiplier?
Finding out the names of the resulting numbers after performing the multiplication operation is essential.
The number being multiplied is known as the multiplicand.
Any second integer used to multiply the first is called a multiplier.
Here, 45 and 20 are the multiplicand and multiplier, respectively, in operation denoted by 45 20.
Strategies for Quick Multiplication
Make use of these strategies for quickly and simply solving multiplication problems. These strategies also apply to other types of competitive exams as well. Fats may be calculated by memorizing multiplication tables. Let’s see if these strategies hold up when applied to some other numbers.
Put, multiplying by two means twice a number.
For instance, the addition approach is appropriate in the case of (5 2) since we need to multiply the number 5 by itself twice.
5 + 5 = 10
That amount is three times the original.
- Example: 5 × 3 = 5 + 5 + 5 = 15
Multiplication by four: it represents four times the original value
Five × 4: 10 is double 5. Since ten is divisible by 2, 20 is also divisible by 10.
Multiply by 5, divide by 2, and multiply by 10 to get the answer for multiplication by 5.
Here’s how to get 40 by dividing eight by 5: split eight by 2 to get 4, then multiply four by 10 to get 40.
When multiplying by 8, double the first number, then multiply by itself again.
Five times eight is twenty times twenty times forty, for instance.
To multiply by 9, add 1 to the target integer and subtract it from itself.
- Example: 5 × 9: 9+1 × 5-5 = 10 × 5 – 5 = 50 -5 = 45
Approach to Multiplication in General
Multiplication is used as a fundamental operation in this approach.
For instance, the expression 6780 multiplied by 2 is equivalent to ————-
13560
As a result, you can see that the multiplier and multiplicand both have only one digit. A table is also a simple and effective tool for tackling difficulties like these.
Multiplication by Rounding Up
In this approach, complex numbers are rounded down to their simplest form before being multiplied. Let us illustrate some real-world challenges.
Strategies for multiplying by a two-digit number
- Calculation Example 1
58 ×2
Rounding the number 58 to 60,
60×2=120
Multiplying the rounded amount to itself;
2×2=4
Subtracting 120-4=116
So, 116 is the final answer.
- Calculation Example 2
26 × 22
If we right 22 as 20+2 and then multiply them separately,
26×20 and 26×2 and adding them.
26 26
×20 + ×2
—— ——
520 + 52 = 572
—— ——
So the answer for 26×22 is 572.
Similarly, these easy multiplication strategies will allow you to practice multiplication problems more frequently.
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