Question

Maria multiplied by 1 to rename 1/4 as hundredths. She made factor pairs to equal to 10. Use her method to change one eighth to an equivalent decimal.

Answer 1

Explanation:

Marias idea was to make a factor of ten so that she can easily divide it

i.e

¼=½×½

note that, ½=5/10

Therefore,

¼=(5/10) ×(5/10)

¼=(5×5)/(10×10)

¼=25/100

¼=0.25

Apply are method to one eighth

⅛=½×½×½

Also note that, ½=5/10

Therefore,

⅛=(5/10) ×(5/10)×(5/10)

⅛=(5×5×5)/(10×10×10)

⅛=125/1000

⅛=0.125

She can do this way, or she might have did this

¼=½×½

Multiple both the denominator and numerator by 5 i.e 5/5 to turn the denominator to 10.

Note, 5/5 is a factor 1

¼=½×½×5/5×5/5

¼= (5×5)/(2×5×2×5)

¼=(25)/(10×10)

¼=(25/100)

¼= 0.25

Also applying to one eighth

⅛=½×½×½

Multiple both the denominator and numerator by 5 i.e 5/5 to turn the denominator to 10.

Note, 5/5 is a factor 1

In the case we have three 2 so we need three of 5/5

⅛=½×½×½ ×5/5×5/5×5/5

⅛= (5×5×5)/(2×5×2×5×2×5)

⅛=(125)/(10×10×10)

⅛=(125/1000)

⅛= 0.125

Answer 2

one eight this can be converted as equivalent decimal as
`(1)/(8) = (8)/(64)`

Explanation:

Firstly we multiply the numerator and denominator by the same number which is the denominator 8.

so that we have 1x8= 8 and 8x8=64.

by method of reducing fraction we will observe the fractions are equivalent decimal.