Question

Two students have different ways to calculate (0.25)⋅(0.044) as a decimal. Show, in detail, how each student might compute this product. (upload your work when complete) Elena says, "I find 25⋅44 and then move the decimal point." Diego says, "0.25 is the same as 1/4, so I found 1/4 of 0.044."

Answer 1

(0.25)⋅(0.044) = 0.011

Explanation:

Two students have different ways to calculate (0.25)⋅(0.044) as a decimal.

Show, in detail, how each student might compute this product. (upload your work when complete)

We are given:

(0.25)⋅(0.044)

= 0.25 × 0.044

a) For Elena

Elena says, "I find 25⋅ 4.4 and then move the decimal point."

What Elena did was she multiplied both

number by 100

= (0.25 × 100) × (0.044 × 100)

We add up the decimal points from 0.25 and 0.044 = 5

Hence, the answer we get in step 1 is divided by 100000 in other it move the brackets

(0.25 × 100) × (0.044 × 100)/100000

= 0.011

b) For Diego

Diego says, "0.25 is the same as 1/4, so I found 1/4 of 0.044."

Diego converted 0.25 to fraction

= 0.25 × 100/100

= 25/100 = 1/4

Since, (0.25)⋅(0.044)

= 0.25 × 0.044

Then:

1/4 of 0.044

= 1/4 × 0.044

= 0.011