Subjects arithmetic

Value Placevalue Marble

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

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 = $1200$