Help a friend write 1,038,048 in words. Also, find the value of 9 in 794,685 and convert 8 in base ten to base 2.

1,038,048 consists of 1 million, 38 thousand, and 48 units.

• 1 million is "One million"
• 38 thousand is "Thirty-eight thousand"
• 48 units is "Forty-eight"

The number in words is One million, thirty-eight thousand, forty-eight.

2. Digits have different values in any given number. What is the value of 9 in 794685?

Starting from the right, the positions are:
5 (ones)
8 (tens)
6 (hundreds)
4 (thousands)
9 (ten thousands)
7 (hundred thousands)

The digit 9 is in the ten thousands place.

The value of 9 in the ten thousands place is $9 \times 10,000 = 90,000$.

3. Numbers can be converted from one base to another. Convert eight in base ten to base 2.

$8 \div 2 = 4$ remainder 0
$4 \div 2 = 2$ remainder 0
$2 \div 2 = 1$ remainder 0
$1 \div 2 = 0$ remainder 1

The remainders are $1, 0, 0, 0$.

So, $8_{10} = 1000_2$.

4. Calculate $7 \times 9 - 5 \times 9 =$

$7 \times 9 = 63$
$5 \times 9 = 45$

$63 - 45 = 18$

5. What is 15 in mod 7

$15 \div 7 = 2$ with a remainder.

$15 = (7 \times 2) + 1$
The remainder is 1.

$15 \equiv 1 \pmod{7}$.

6. Numbers can be divided into ratios. Divide 360 in the ratio of 3:4.

Total parts $= 3 + 4 = 7$.

Value of one part $= \frac{360}{7}$.

First share $= 3 \times \frac{360}{7} = \frac{1080}{7} \approx 154.29$
Second share $= 4 \times \frac{360}{7} = \frac{1440}{7} \approx 205.71$

The exact shares are $\frac{1080}{7}$ and $\frac{1440}{7}$.

7. Solve $0.7 \times 0.6$

$7 \times 6 = 42$.

0.7 has one decimal place.

0.6 has one decimal place.
Total decimal places $= 1 + 1 = 2$.

Starting from the right of 42, move the decimal point 2 places to the left.
This gives 0.42.