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The cube of 100 will have zeroes....

The cube of 100 will have __________ zeroes.

A

5

B

6

C

7

D

8

Text Solution

AI Generated Solution

The correct Answer is:
To find the number of zeros in the cube of 100, we can follow these steps: ### Step 1: Understand the concept of cube The cube of a number means multiplying that number by itself three times. For example, the cube of 2 is calculated as: \[ 2 \times 2 \times 2 = 8 \] ### Step 2: Calculate the cube of 100 Now, we need to calculate the cube of 100: \[ 100^3 = 100 \times 100 \times 100 \] ### Step 3: Calculate \(100 \times 100\) First, let's calculate \(100 \times 100\): \[ 100 \times 100 = 10,000 \] ### Step 4: Multiply the result by 100 again Now, we take the result from the previous step and multiply it by 100: \[ 10,000 \times 100 = 1,000,000 \] ### Step 5: Count the number of zeros Now, we can count the number of zeros in \(1,000,000\): - The number \(1,000,000\) has 6 zeros. ### Final Answer Thus, the cube of 100 will have **6 zeros**. ---
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