Word Problems
There were some rabbits in a pen. Altogether I counted 56 paws. How many rabbits were there?
14 rabbits
Give a definition of a prime number.
A prime number has exactly 2 factors. NO MORE, NO LESS!
What remainders are possible when the divisor is 12?
There are a total of 12:
0,1,2,3,4,5,6,7,8,9,10, and 11.
It is the smallest 2-digit prime number.
11
498 x 7
3,486
How many cars are needed to take 46 Girl Scouts to the community center after school if each car holds 6 Girl Scouts in addition to the driver?
6 x 7 + 4 = 46
Quotient: 7 R4
Round up to the next whole number: 8 vans
Use three math terms you learned in this unit to describe the number 36.
Composite; even; square; multiple of 1,2,3,4,6,9,12,18, and 36; factor of 36, 72, etc.
Write a near facts (related facts) sentence for 45 divided by 6.
7 x 6 + 3 = 45
It is divisible by 10. The tens digit is equal to the number of legs on an insect.
60
632 divided by 9
70 R2
Pens cost $1.29 each. Use mental math to figure out how much it will cost to buy 5 pens.
$6.45
What do the terms product, sum, difference, and quotient have in common?
They describe the answer of a multiplication, addition, subtraction, or division problem.
The quotient is 13, the divisor is 6, and the remainder is 3. What is the dividend?
81
It is odd. It is prime. The product of the digits is 15.
53
DAILY DOUBLE! What is the LCM of 4, 6, and 8?
24
Ryan has been collecting recycled cans for a charity drive. Each can is worth 5 cents. So far, Ryan has raised $2.35. How many more cans does he need to collect in order to have a donation of $5.00?
53 cans
What are the divisor and dividend, and how are they related to one another?
The divisor is the number in a division problem that divides into another number, known as the dividend.
Jon said the 23 divided by 0 = 0 but Ann disagreed and said there is no answer. Who is right and why?
Ann is right because the corresponding multiplication problem would be 0 x 0 = 23, which is false. No answer is possible, which means the problem is undefined.
It is composite. The digits add to 12. One of the factors is 13.
39
Explain how to multiply 299 x 4 in your head.
Round 299 to 300; 300 x 4 = 1200. Since 300-299=1, you added (1x4) to the problem, so now you'll subtract 4 from 1200 to get the total of 1,196.
DAILY DOUBLE! If hot dogs come in packages of 8 and buns come in packages of 12, what is the minimum number of hot dog and bun packages needed so every bun has one hot dog?
3 packages of hot dogs and 2 packages of buns
Explain how a multiple and a factor are alike and different.
Both are terms used to describe multiplicative relationships; a factor is a number that divides exactly into a given whole number; a multiple is a number that is the product of two given numbers.
Something similar to this:
Mrs. Deppe brought home 21 cinnamon rolls to share with her family of 6. How many cinnamon rolls will each person get?
The digits sum to 9. It is odd. It is a square number.
81
I'm thinking of the smallest number that when divided by 4 has a remainder of 3, but when divided by 5 has a remainder of 0. What is the number?
15