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What must be subtracted from 45.56 to ge...

What must be subtracted from `45.56` to get `28.6794` ?

A

`16.8296`

B

`16.8806`

C

`16.886`

D

`16.8116`

Text Solution

AI Generated Solution

The correct Answer is:
To find out what must be subtracted from `45.56` to get `28.6794`, we can follow these steps: ### Step 1: Set up the equation Let \( x \) be the number that must be subtracted from \( 45.56 \). According to the problem, we can write the equation as: \[ 45.56 - x = 28.6794 \] ### Step 2: Rearrange the equation To find \( x \), we can rearrange the equation. We will add \( x \) to both sides and subtract \( 28.6794 \) from both sides: \[ 45.56 - 28.6794 = x \] ### Step 3: Perform the subtraction Now we will calculate \( 45.56 - 28.6794 \): 1. Align the numbers by their decimal points: ``` 45.5600 - 28.6794 ``` 2. Start subtracting from the rightmost digit: - In the thousandths place: \( 0 - 4 \) (we need to borrow) - In the hundredths place: \( 0 - 9 \) (we need to borrow) - In the tenths place: \( 5 - 7 \) (we need to borrow) - In the units place: \( 5 - 8 \) (we need to borrow) - In the tens place: \( 4 - 2 \) After borrowing and performing the subtraction, we get: \[ 45.56 - 28.6794 = 16.8806 \] ### Step 4: Write the final answer Thus, the number that must be subtracted from \( 45.56 \) to get \( 28.6794 \) is: \[ x = 16.8806 \] ### Final Answer: **16.8806 must be subtracted from 45.56 to get 28.6794.** ---
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