Question

write the decimal expansion of the following rational numbers with out actual division 151/50​

Answer 1

Answer:

For doing this first you should know that

25/100=0.25

1/100=0.01

Now,

We try to convert the fractions into the above form to get the decimals directly,

So,

i)35/50

We multiply the numerator and denominator by 2

We get,

70/100

=0.7

ii)

21/25

We multiply the numerator and denominator by 4

We get,

84/100

=0.84

iii)

Now, 100 is not divisible by 8 but 1000 is divisible by 8

So,

We multiply numerator and denominator by 125

We get,

875/1000

=0.875

Thus we can get the expansion without doing any actual division

Step-by-step explanation:

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Answer 2

Decimal Expansion. The decimal expansion of a number is its representation in base-10 (i.e., in the decimal system). In this system, each "decimal place" consists of a digit 0-9 arranged such that each digit is multiplied by a power of 10, decreasing from left to right, and with a decimal place indicating the s place.

So we write 151/50 as 151*2/50*2=302/100

and we can say that 151/50=302/100=3.02