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5.63 Divided by 0.01 is equal to...

`5.63 ` Divided by `0.01` is equal to

A

563

B

`56.3`

C

`0.563`

D

5630

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem \( 5.63 \div 0.01 \), we can follow these steps: ### Step 1: Understand the division by a decimal When dividing by a decimal, it can be helpful to eliminate the decimal by multiplying both the numerator and the denominator by the same power of 10. In this case, since \( 0.01 \) has two decimal places, we will multiply both the numerator and the denominator by \( 100 \). ### Step 2: Multiply both the numerator and the denominator by 100 \[ 5.63 \div 0.01 = \frac{5.63 \times 100}{0.01 \times 100} \] ### Step 3: Calculate the new numerator and denominator Calculating the new values: - The numerator: \( 5.63 \times 100 = 563 \) - The denominator: \( 0.01 \times 100 = 1 \) So now we have: \[ \frac{563}{1} \] ### Step 4: Simplify the fraction Since dividing by \( 1 \) does not change the value, we have: \[ 563 \div 1 = 563 \] ### Final Answer Thus, \( 5.63 \div 0.01 = 563 \). ---
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Knowledge Check

  • (0.2 xx 0.2 + 0.01) (0.1 xx 0.1 + 0.02)^(-1) is equal to

    A
    A) `(5)/(3)`
    B
    B) `(41)/(12)`
    C
    C) `(41)/(4)`
    D
    D)`(9)/(5)`
  • (0.9 xx 0.9 xx 0.9 + 0.1 xx 0.1 xx 0.1) is equal to

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    0.73
    B
    0.82
    C
    0.91
    D
    1
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    A
    `0.01M`
    B
    `0.10M`
    C
    `0.001M`
    D
    `0.001M`
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