Sagot :
Answer:
1.The powers of 10 are easy to remember, because we use a base 10 number system. For 10n with n a positive integer, just write a " 1 " with n zeros after it.
2.Depending on the math problem you want to solve, there are two methods to calculate if 4/54 is larger than 5/45:
Convert the fractions to have the same denominator
Convert the fractions to a decimal number
Let's start with the first method: converting the fractions to the same denominator. First, we'll set up 4/54 and 5/45 side by side so they are easier to see:
Converting Denominator
4
54
&
5
45
Our denominators are 54 and 45. What we need to do is find the lowest common denominator of the two numbers. This is the smallest number that can be divided by both 54 and 45. In this case, the lowest common denominator is 270.
If we multiply the first denominator (54) by 5 we will get 270. If we multiply the second denominator (45) by 6 we will also get 270. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:
4 x 5
54 x 5
5 x 6
45 x 6
This is what 4/54 and 5/45 looks like with the same denominator:
20
270
&
30
270
Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 20 is NOT greater than 30 which also means that 4/54 is NOT greater than 5/45.
Converting to Decimal
You can also compare these fractions by first converting them to decimal format. This is a lot faster than working out the lowest common denominator. All we do here is divide the numerator by the denominator for each fraction:
4/54 = 0.0741
5/45 = 0.1111
Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.0741 is NOT greater than 0.1111 which also means that 4/54 is NOT greater than 5/45.
3.true
Step-by-step example