Estimate the following by rounding off each number to its greatest place:
(i)`9xx795 `
(ii) `87xx 317`

Options

A. `7300`
`25000`
B. `703`
`18000`
C. `7000`
`28000`
D. `7090`
`29000`

Answer

To estimate the numbers by rounding off each to its greatest place, we will follow these steps:

### Step 1: Round off the first number `9xx795`
- The greatest place in `9xx795` is the thousands place (the first digit, which is `9`).
- Since the next digit (the hundreds place) is `x`, we consider it as `0` for rounding purposes.
- Therefore, `9xx795` rounds off to `10,000`.

### Step 2: Round off the second number `87xx317`
- The greatest place in `87xx317` is the tens place (the first two digits, which are `87`).
- Since `87` is closer to `90` than to `80`, we round `87` up to `90`.
- The next number `317` has its greatest place in the hundreds place (the first digit, which is `3`).
- Therefore, `317` rounds off to `300`.

### Step 3: Calculate the estimated product
- Now we multiply the rounded numbers:
- From Step 1: `10,000`
- From Step 2: `300`
- The estimated product is:
\[ 10,000 \times 300 = 3,000,000 \]

### Final Answer
The estimated answer for the multiplication of `9xx795` and `87xx317` is **3,000,000**.

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