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Why does multiplying the dividend and the divisor by 10 make the problem easier to solve?
Multiplying the dividend and the divisor by 10 simplifies the division problem by shifting the decimal point, which can make calculations more straightforward. This process can convert a division problem into a simpler form, often resulting in whole numbers or easier fractions. Additionally, it maintains the equality of the equation, ensuring that the result remains the same. Overall, it enhances clarity and reduces the complexity of the division.
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How does multiplying both the dividend and divisor by a factor of 10 make a problem easier to solve?
Multiplying both the dividend and divisor by a factor of 10 simplifies the problem by eliminating decimals or making the numbers larger and more manageable. This transformation keeps the ratio between the two numbers the same, maintaining the value of the division. As a result, it can make mental calculations or long division easier, especially when dealing with complex or non-integer values. Ultimately, it enhances clarity and reduces the chance of errors during calculations.
Why do you multiply the dividend and the divisor by a power of 10?
Multiplying the dividend and the divisor by a power of 10 is done to eliminate decimals in a division problem, making it easier to work with whole numbers. This technique simplifies calculations and helps to maintain the value of the quotient, ensuring that the result remains the same despite the adjustment. It is particularly useful in long division and can help avoid confusion with decimal placement.
When you divide by a decimal why do you multiply the dividend and the divisor by a power of 10?
Multiplying both the dividend and divisor by a power of 10 is done to convert the decimal divisor into a whole number. This allows us to perform the division operation using whole numbers, making it easier to calculate. It maintains the overall value of the division while simplifying the computation.
How do multiplying both the divended and a divisor by a factor of 10 sometimes make a problem easier to solve?
When you're dealing with decimals, it's sometimes easier to get rid of them. 0.9 divided by 0.3 is the same as 9 divided by 3. The second one is easier to compute.
When you divide a decimal by decimal why do you multiply the dividend and the divisor by the power of 10?
Some people do that so that the divisor becomes an integer under the impression that dividing by a whole number is, in some way, easier than dividing by a decimal.
How does multiplying by both a dividend and a divisor by a factor of 10 makes problems easier?
it takes out the decimals in the problem an makes it super easy
How does multiplying both the dividend and divisor by a factor of 10 make a problem easier to solve?
Multiplying both the dividend and divisor by a factor of 10 simplifies the problem by eliminating decimals or making the numbers larger and more manageable. This transformation keeps the ratio between the two numbers the same, maintaining the value of the division. As a result, it can make mental calculations or long division easier, especially when dealing with complex or non-integer values. Ultimately, it enhances clarity and reduces the chance of errors during calculations.
Why does multiplying both the dividend and the divisor by 10 sometimes make a problem easier to solve?
When you multiply the dividend and the divisor by ten, it changes the numbers to whole numbers instead of decimals so you don't have to deal with the decimal point!
Why do you multiply the dividend and the divisor by a power of 10?
Multiplying the dividend and the divisor by a power of 10 is done to eliminate decimals in a division problem, making it easier to work with whole numbers. This technique simplifies calculations and helps to maintain the value of the quotient, ensuring that the result remains the same despite the adjustment. It is particularly useful in long division and can help avoid confusion with decimal placement.
Why would multiplying both the dividend and the divisor by 10 sometimes make a problem easier to solve?
If either of the numerator or the denominator is a number to 1 decimal point it can make the fraction simpler for the less able mathematicians. For example, 6/1.2 = 60/12 = 5
When you divide by a decimal why do you multiply the dividend and the divisor by a power of 10?
Multiplying both the dividend and divisor by a power of 10 is done to convert the decimal divisor into a whole number. This allows us to perform the division operation using whole numbers, making it easier to calculate. It maintains the overall value of the division while simplifying the computation.
How do multiplying both the divended and a divisor by a factor of 10 sometimes make a problem easier to solve?
When you're dealing with decimals, it's sometimes easier to get rid of them. 0.9 divided by 0.3 is the same as 9 divided by 3. The second one is easier to compute.
When you divide a decimal by decimal why do you multiply the dividend and the divisor by the power of 10?
Some people do that so that the divisor becomes an integer under the impression that dividing by a whole number is, in some way, easier than dividing by a decimal.
Why can you move the decimal in the divisor and dividend when you divide?
You can move the decimal point in both the divisor and the dividend when dividing because this process maintains the overall ratio of the numbers. By shifting the decimal point to the right in both numbers by the same number of places, you effectively multiply both by the same power of ten, which does not change the value of the quotient. This simplification makes the division easier while keeping the result accurate.
What is an equivalent division problem?
In equivalent division, you multiply (or divide) the dividend and the divisor by the same number to form a new problem that is easier to calculate metally. The new problem will produce the same quotient. ie: 2 divided by 1/2, if you multiply 2 by 2 you get 4 and if you multiply 1/2 by 2 you get 1. 4 divided by 1 = 4. This is the same as the answer to 2 divided by 1/2 (4), it is just easier to do in your head.
How do you divide using area model and partial quotients?
To divide using the area model, you represent the dividend as a rectangle's area, partitioning it into smaller sections that correspond to the divisor's multiples. For partial quotients, you repeatedly subtract multiples of the divisor from the dividend, recording each multiple as a part of the quotient until the remainder is less than the divisor. This method emphasizes understanding the division process through visualization and iterative subtraction, making it easier to grasp the relationship between the numbers involved. Both approaches aim to simplify division into manageable parts.
How do logarithms make scientific calculations easier?
Adding the logs of numbers is equivalent to multiplying the numbers. People think adding is easier than multiplying.
