Value Placevalue Marble
1. The digit 4 in the number 146327 is in the thousands place.
- Its place value is 1000.
- Its value is $4 \times 1000 = 4000$.
2. Charles has two bills (2 bills), which he changes into five-dollar bills. Since the total amount is unknown, assuming each bill's value total converts exactly into $5 bills. However, with only 2 bills, assuming $2 \times $ the value of each original bill equals $5$ bills.
3. Jen has 24 marbles. John has twice as many as Jen plus 9 more:
- John’s marbles = $2 \times 24 + 9 = 48 + 9 = 57$
- Total marbles = $24 + 57 = 81$
4. Indra has 31 oranges; John has 6 fewer than Indra and 5 more than John is contradictory -- likely a typo; assuming John has 6 fewer than Indra:
- John’s oranges = $31 - 6 = 25$
- Together = $31 + 25 = 56$
5. In 2008, Dawn was 4 years older than Judy. Dawn born in 1994 means Dawn’s age in 2008 is $2008 - 1994 = 14$ years.
- Judy’s age in 2008 = $14 - 4 = 10$
- Judy’s age in 2010 = $10 + 2 = 12$
6. Number 13 less than a million approximated to the nearest ten:
- 1,000,000 - 13 = 999,987
- Rounded nearest ten: $999,990$
7. The box contains 4 fewer than ten thousand buttons:
- Number of buttons = $10,000 - 4 = 9,996$
8. Richards has three bills with total value 35:
- Possible bills: $20 + 10 + 5 = 35$
9. Tom has 72 dollars; least number of bills:
- Use $20, 10, 5, 1$ bills:
- 3 twenties = $60$
- 1 ten = $10$
- 2 ones = $2$
- Total bills = $3 + 1 + 2 = 6$
10. $186 - 8$ twenty-dollar bills, unknown ten-dollar and one-dollar bills, and 1 five-dollar bill:
- $8 \times 20 = 160$
- Remaining = $186 - 160 - 5 = 21$
- Ten-dollar bills and one-dollar bills satisfy $10x + y = 21$
11. Jimmy’s money:
- $100 \times 3 = 300$
- $20 \times 5 = 100$
- $10 \times 7 = 70$
- $5 \times 8 = 40$
- $1 \times 7 = 7$
- $0.25 \times 9 = 2.25$
- Total = $300 + 100 + 70 + 40 + 7 + 2.25 = 519.25$
12. Salesman took to bank:
- $1 \times 25 = 25$
- $10 \times 50 = 500$
- $20 \times 10 = 200$
- $100 \times 5 = 500$
- Total = $25 + 500 + 200 + 500 = 1225$
- Rounded to nearest hundred = $1200$