Question

Three hundred twenty-nine ten-thousandths is how much greater than thirty-two
thousandths?

Answer 1

Hint:First of all write the given information or numbers in mathematical form (given numbers are in fractional form) then convert the fractional form into decimal numbers. In order to know how much a number is greater than the other, we subtract the other number from the greater number. The resulting number from subtraction tells us how much the number is greater from the other number.

Complete step by step solution:
In order to find how much the number three hundred twenty-nine ten- thousandths is greater than the number thirty-two thousandths, we will first write the numbers in mathematical form as follows
Three hundred twenty-nine ten-thousandths is written mathematically as: $\dfrac{{329}}{{10,000}}$
And thirty-two thousandths is written mathematically as: $\dfrac{{32}}{{1,000}}$
Now converting the numbers into decimal form, we will get
$\dfrac{{329}}{{10,000}} = 0.0329\;and\;\dfrac{{32}}{{1,000}} = 0.032$
We can also write $0.032\;{\text{as}}\;0.0320,$ there is no problem in putting a zero after a number in decimal if there is no other number present after that.
Now, in order to know that $0.0329$ is how much greater than $0.0320.$ Subtracting $0.0320$ from $0.0329$
$0.0329 - 0.0320 = 0.0009$
Therefore the number three hundred twenty-nine ten-thousandths is greater than the number thirty- two thousandths by $0.0009$ or we can express it in words as nine ten-thousandths.

Note: We have converted the fraction into decimal numbers because of simplicity in subtraction, for subtraction of two fractional numbers, we have to take their LCM first, but we can directly subtract any decimal from other decimal numbers. Also we have put one zero at last of the second number just to make the decimal subtraction look balanced (first number has four digits after decimal whereas second only has three, to make up this thing we have added a zero).