Math  /  Numbers & Operations

Question0.6×0.3=0.6 \times 0.3=

Studdy Solution

STEP 1

1. We are multiplying two decimal numbers: 0.60.6 and 0.30.3.
2. The multiplication of decimals follows the same rules as the multiplication of whole numbers, but we must account for the decimal places in the final result.

STEP 2

1. Ignore the decimals and multiply the numbers as if they were whole numbers.
2. Count the total number of decimal places in both numbers.
3. Place the decimal point in the product.

STEP 3

Multiply 66 by 33 as if they were whole numbers.
6×3=18 6 \times 3 = 18

STEP 4

Count the total number of decimal places in the original numbers.
- 0.60.6 has 11 decimal place. - 0.30.3 has 11 decimal place.
Total decimal places = 1+1=21 + 1 = 2.

STEP 5

Place the decimal point in the product 1818 to account for the 22 decimal places.
180.18 18 \rightarrow 0.18
The product of 0.6×0.30.6 \times 0.3 is:
0.18\boxed{0.18}

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