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How is multiplying and dividing decimals similar to multiplying and dividing whole number?
Multiplying decimals:
Example: 2.5 x 1.3 = 3.25
Start by removing the decimal points, thus: 25 x 13 = (the answer is 325)
Both 2.5 and 1.3 have 1 decimal places, so 1 + 1 = 2 (decimal places)
Counting 2 places, right to left, places the decimal point here: 3.25
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Is taking ½ of a number is the same as dividing by ½?
No, taking ½ of a number is the same as dividing it by 2. Dividing a number by ½ is the same as multiplying it by 2.
How do you check your answers with decimals?
You multiplie the number you were dividing by with the answer.
Is multiplying a number by 2 is the same as halving that number?
no, dividing a number is halving it, multiplying iy by 2 is doubling it
How is multiplying two decimals different from multiplying one decimal by a whole number?
they aren't that different but the whole number needs to be converted for them to be the same
Why is dividing by a number the same as multiplying by its reciprocal?
That is the definition of reciprocal.
How is multiplying and dividing rational numbers similar?
Dividing by a non-zero rational number is the same as multiplying by its reciprocal.
How is dividing fractions similar to multiplying fractions?
It is similar because when you divide fractions you are technically multiplying the second number's reciprocal. (Turning the fraction the other way around)
Details about multiplying and dividing rational number?
Details about multiplying and dividing rational number involves modeling multiplying fractions by dividing squares to equal segments and then overlap the squares.
Why is multiplying or dividing the numerator and the denominator by the same number the same as multiplying or dividing the fraction by 1?
Because multiplying or dividing them by the same NON-ZERO number does not alter their ratio.
Why does the answer get smaller when multiplying decimals less than 1?
When multiplying decimals less than 1, the answer gets smaller because each decimal is less than 1. Multiplying a number by a value less than 1 will always result in a smaller product. Think of it as taking a fraction or a portion of the number, which will inevitably make the product smaller.
Could you answer Dividing a number by 2.5 is the same as multiplying a number by what?
it is the same as multiplying by 0.4
Is taking ½ of a number is the same as dividing by ½?
No, taking ½ of a number is the same as dividing it by 2. Dividing a number by ½ is the same as multiplying it by 2.
How do you check your answers with decimals?
You multiplie the number you were dividing by with the answer.
What do you do with a remainder if you are dividing decimals?
you put that number as your remainder
Is multiplying a number by 2 is the same as halving that number?
no, dividing a number is halving it, multiplying iy by 2 is doubling it
What is the inverse operation of dividing by 12?
Dividing by twelve is the same thing as multiplying by 1/12. Thus, multiplying a number by 12/1, or twelve, is the opposite (inverse) of dividing a number by twelve.
Why does the method of dividing fractions work?
This is related to the fact that dividing by a number is the same as multiplying with the number's reciprocal.
