Explain the pattern you can use to find the product when multiplying a whole number by a power of ten. Will this pattern be the same when multiplying a decimal by a power of ten? Explain with examples.

The pattern is the same when multiplying a whole number and a decimal number by a power of ten.

Step-by-step explanation:

The pattern to use when multiplying a whole number by a power of ten can be expressed as follow:

A whole number is a number without a fraction, so let say we choose 12 as a whole number, and let choose 6¹⁰ as a number with the power of ten.

To multiply these two numbers, we get;

= 12 × 6¹⁰

= 12 × 60466176

= 725594112

Now, the pattern to use when multiplying a decimal by a power of ten.

A decimal number is a number that comprises of a whole number and a fraction number that is being by a decimal point.

Let say our decimal number is 1.2 and our number raised to the power of ten is   6¹⁰

Then, To multiply these two numbers, we get;

= 1.2 × 6¹⁰

= 1.2 × 60466176

= 72559411.2

Thus, the pattern is the same when multiplying a whole number and a decimal number by a power of ten.

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!