Question

question 7 (2.5 points)
find the product of 4.68 and 6.03.
282.204
2204
28.2204
28.22
question 8 (2.5 points) saved
multiply: 3.2954 × 1000
3295.4
32.954
329.54

Explanation:

Question 7

Step1: Multiply the two decimals

To find the product of \( 4.68 \) and \( 6.03 \), we multiply them as we would with whole numbers and then account for the decimal places.
First, multiply \( 468 \times 603 \):

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Now, \( 4.68 \) has 2 decimal places and \( 6.03 \) has 2 decimal places, so the total number of decimal places in the product is \( 2 + 2=4 \).
We place the decimal point in \( 282204 \) such that there are 4 decimal places: \( 28.2204 \).

Step1: Understand the multiplication by 1000

When multiplying a decimal by \( 1000 \), we move the decimal point 3 places to the right (because \( 1000 = 10^3 \), and multiplying by \( 10^n \) moves the decimal point \( n \) places to the right).
For \( 3.2954\times1000 \), we move the decimal point in \( 3.2954 \) three places to the right.

Step2: Perform the decimal shift

Starting with \( 3.2954 \), moving the decimal point three places to the right:

• First move: \( 32.954 \) (1 place)
• Second move: \( 329.54 \) (2 places)
• Third move: \( 3295.4 \) (3 places)

Answer:

28.2204 (corresponding to the option: 28.2204)

Question 8