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8 kg 70g - 0.526 kg is equal to...

8 kg 70g - 0.526 kg is equal to

A

7.544kg

B

7.455 kg

C

8 kg

D

75.44g

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem \( 8 \text{ kg } 70 \text{ g} - 0.526 \text{ kg} \), we will follow these steps: ### Step 1: Convert 8 kg 70 g to kilograms First, we need to convert 70 grams into kilograms. We know that: \[ 1 \text{ kg} = 1000 \text{ g} \] So, to convert grams to kilograms, we use the formula: \[ \text{kg} = \frac{\text{g}}{1000} \] Thus, for 70 grams: \[ 70 \text{ g} = \frac{70}{1000} \text{ kg} = 0.070 \text{ kg} \] ### Step 2: Add the kilograms Now, we can express \( 8 \text{ kg } 70 \text{ g} \) as: \[ 8 \text{ kg } + 0.070 \text{ kg} = 8.070 \text{ kg} \] ### Step 3: Perform the subtraction Now we need to subtract \( 0.526 \text{ kg} \) from \( 8.070 \text{ kg} \): \[ 8.070 \text{ kg} - 0.526 \text{ kg} \] ### Step 4: Align the numbers for subtraction Align the numbers vertically: ``` 8.070 - 0.526 ``` ### Step 5: Subtract the numbers Now, we subtract column by column: - Starting from the rightmost column: - \( 0 - 6 \) cannot be done, so we borrow 1 from the next column (which is 7, making it 6): - \( 10 - 6 = 4 \) - Next column: - \( 6 - 2 = 4 \) - Next column: - \( 8 - 0 = 8 \) So, we have: \[ 8.070 - 0.526 = 7.544 \text{ kg} \] ### Final Answer Thus, \( 8 \text{ kg } 70 \text{ g} - 0.526 \text{ kg} = 7.544 \text{ kg} \). ---
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