Question

Which number sentence shows the correct placement of the decimal point in the product, based on the two factors?

7.98 × 45.67 = 3,644.466
12.3 × 3.8 = 467.4
0.45 × 2.3 = 1.035
14.22 × 2.8 = 398.16

Answer 1

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Answer 2

Option 3 -
`0.45*2.3= 1.035`

Explanation:

To find : Which number sentence shows the correct placement of the decimal point in the product, based on the two factors?

Solution :

The correct placement of decimal in product is based on the number of digits after decimals as the number of digits after decimal of one number added to number of digits after decimal of second number is the required place in the result a decimal place.

1)
`7.98* 45.67 = 3,644.466`

Not correct, decimals are 4 so place after 4 numbers.

2)
`12.3*3.8= 467.4`

Not correct, decimals are 2 so place after 2 numbers.

3)
`0.45*2.3= 1.035`

Correct, decimals are 3 so place after 3 numbers.

4)
`14.22*2.8= 398.16`

Not correct, decimals are 3 so place after 3 numbers.

Therefore, option 3 is correct.