Math

QuestionCalculate the product of 1.9 and 0.46: 1.9×0.461.9 \times 0.46.

Studdy Solution

STEP 1

Assumptions1. We are multiplying two decimal numbers1.9 and0.46

STEP 2

The multiplication of two decimal numbers can be done in the same way as the multiplication of whole numbers. The only difference is the placement of the decimal point in the answer.Product=1.9times0.46Product =1.9 \\times0.46

STEP 3

To simplify the multiplication, we can temporarily ignore the decimal points and treat the numbers as if they were whole numbers.Product=19times46Product =19 \\times46

STEP 4

Now, multiply these two numbers as you would multiply whole numbers.
Product=19times46=874Product =19 \\times46 =874

STEP 5

Now, we need to place the decimal point in the product. The rule is that the number of decimal places in the product is equal to the sum of the decimal places in the numbers being multiplied.In this case,1.9 has one decimal place and0.46 has two decimal places, so the product should have three decimal places.

STEP 6

Place the decimal point three places from the right in the product.
Product=0.874Product =0.874So, 1.9×0.46=0.8741.9 \times0.46 =0.874.

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