Place Value
What is 289,345 in expanded form
200,000 + 80,000 + 9,000 + 300 + 40 + 5
A car rental company charges $15 per hour to rent a car. If a customer rents a car for 7 hours, how much will it cost in total?
Multiply the rental cost per hour by the number of hours: 15×7=105. It will cost $105.
Add 467 and 385, then subtract 128.
First, add 467+385=852.Then subtract 852−128=724. The answer is 724.
The sequence starts at 2 and doubles each time: 2, 4, 8, 16... What is the fifth number in the sequence?
The fifth number is 32. Multiply the fourth number 16×2=32
Which of the following numbers is a composite number: 7, 19, 21?
21 is a composite number. It has more than two factors: 1, 3, 7, and 21.
What is the place value of the digit 7 in the number 47,892?
Thousands place
A gardener is planting flowers. Each row has 36 flowers, and there are 7 rows. How many flowers has the gardener planted in total?
36×7=252. The gardener has planted 252 flowers in total.
Subtract 823 from 1,512, then add 249 to the result.
First, subtract 1,512−823=689. Then add 689+249=938. The answer is 938.
A sequence starts at 25 and decreases by 5 each time. What are the next two numbers after 25, 20, and 15?
The next two numbers are 10 and 5. Subtract 5 from the previous number: 15−5=10 & 10 - 5 = 5.
A number is divisible by 2 and 5 but is less than 50. Name two such numbers.
Answer: Examples include 10, 20, 30, and 40.
Write this number in expanded and word from:
34,654
Expanded form: 30,000 + 4,000 + 600 + 50 + 4
Word form: Thirty-four thousand, six hundred fifty-four
A bakery makes 25 cookies in a batch. If they bake 48 batches in a day, how many cookies do they bake altogether?
25×48=1,200. The bakery bakes 1,200 cookies in total.
Sarah buys a notebook for $4.85 and a pen for $3.15. She pays with a $10 bill. How much change does she receive?
Add the cost of the notebook and pen: 4.85+3.15=8.00. Subtract the total cost from $10: 10.00−8.00=2.00. Sarah receives $2.00 as change.
In a sequence, each number is twice the previous number plus 4. If the sequence starts with 2, what are the next two numbers?
The next two numbers are 8 and 20. Start with 2: 2×2+4=8 then 8×2+4=20
Which of the following numbers is NOT a prime number: 29, 31, 33?
33 is not a prime number because it has more than two factors: 1, 3, 11, and 33.
What is the relationship between the 9's in 9,056 and 296,804?
The 9 in 9,056 is in the thousands place, so its value is 9,000. The 9 in 296,804 is in the ten-thousands place, so its value is 90,000. The 9 in 296,804 is 10 times more than the 9 in 9,056.
A truck is carrying 375 boxes of oranges. If each box weighs 15 pounds, what is the total weight of the oranges the truck is carrying (in pounds)?
5,625 in total
A classroom has 45 students. 16 students leave for recess, and then 29 more students join from another class. How many students are in the classroom now?
First, subtract the students who leave: 45−16=29. Then add the students who join: 29+29=58. There are 58 students in the classroom now.
A sequence starts at 6 and increases by adding consecutive even numbers (2, 4, 6, etc.) to the previous number. What is the fifth number in the sequence?
The fifth number is 28. Follow the rule step by step:
Start with 6.
6 + 2 = 8.
8 + 4 = 12.
12+6=18
18 + 8 = 26.
26 + 10 = 36
What is the greatest prime factor of 60?
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. Among these, the prime factors are 2, 3, and 5. The greatest prime factor is 5.
How is the value of the 6 in 6,520 different from the 6 in 368,472?
The 6 in 6,520 is in the thousands place, so its value is 6,000. The 6 in 368,472 is in the ten thousands place, so its value is 60,000. The 6 in 368,472 is 10 times more than the 6 in 6,520.
A family eats 9 slices of pizza every Friday for dinner. If they follow this pattern for 12 weeks, how many slices of pizza will they eat in total?
Multiply the number of slices eaten per week by the number of weeks: 9×12=108. They will eat 108 slices of pizza.
A store sold 372 items on Monday and 498 items on Tuesday. On Wednesday, 327 items were returned. How many items were sold in total after accounting for the returns?
Add the items sold on Monday and Tuesday: 372+498=8703. Then subtract the items returned: 870−327=543. The total number of items sold is 543.
A sequence alternates between adding 15 and adding 5. If the sequence starts with 30, what are the next three numbers?
The next three numbers are 45, 50, and 65.
What is the sum of all the factors of 10?
The factors of 10 are 1, 2, 5, and 10. Their sum is 1+2+5+10=18