Whole Number
What is the place value of the 6 in 86 543?
ANSWER: thousands
Put these fractions in order from largest to smallest.
9/11, 9/10, 9/12
9/12, 9/11, 9/10
Add.
0.75+0.33 =
ANSWER: 1.08
Remember to line up the decimal points.
Add as you would add whole numbers. Remember to write the decimal point in the answer.
Adam had $30 and went to the movies. He brought small popcorn, movie ticket a large drink and an ice cream. How much change does he get from $30.
Movie costs:
1x admission = $12.50
Small popcorn = $3.30
Large popcorn = $4.00
Small drink = $2.75
Large drink =$3.00
Ice cream = $1.50
Answer: $9.70
Step one: Add the total cost of what Adam spent.
$12.50+$3.30+$3.00+$1.50 = $20.30
Step two: Round the cents up to the nearest $1.00
$20.30+$0.70=$21.00
Step three: Round the dollars up to the nearest 10.
$21.00+$9.00=$30
Step four: Add the rounding amounts together:
$9.00+$0.70= $9.70
Solve for g.
g + 25 = 87
ANSWER: g=62
To solve for a variable, use inverse operations to undo the operations in the equation. Be sure to do the same operation to both sides of the equation.
Evaluate.
g + 25 = 87
Subtract 25 from both sides
g= 62
42000 + 5123 + 246=
ANSWER: 47369
Add the ones.
Add the tens.
Add the hundreds.
Add the thousands.
Add the tens of thousands.
Answer equals 47 369
In Mr. Kelley's mathematics class, 1/3 of the students received A's and 1/3 received B's. What fraction of the students received either A's or B's?
Write your answer as a fraction or as a whole or mixed number.
ANSWER: 2/3
Find the fraction of students who received either A's or B's by adding 1/3 and 1/3.
Add the numerators.
In Mr. Kelley's mathematics class, 2/3 of the students received either A's or B's.
A carpenter bought a piece of wood that was 0.7 metres long. Then he sawed 0.3 metres off the end. How long is the piece of wood now?
ANSWER: 0.4cm
Subtract the numbers of metres. Remember to line up the decimal points.
The piece of wood is 0.4 centimetres long now.
Jenny got home from school at 2:30 P.M. and played video games for 30 minutes. Then, it took her 1 hour and 30 minutes to finish her homework. What time was it when Jenny finished her homework?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
ANSWER: 4:30pm
30mins + 30mins = 1 hour.
Add the one hour to the start time = 3:30pm
Add the extra hour to 3:30pm = 4:30pm
Zack needs 90 cupcakes for a birthday party. He already has 19 chocolate cupcakes and 39 vanilla cupcakes. How many more cupcakes should Zack buy?
ANSWER: 32
Step 1: Find the total number of chocolate and vanilla cupcakes.
19 + 39 = 58
Step 2: Find how many more cupcakes are needed.
90 − 58 = 32
Zack should buy 32 more cupcakes.
Last Wednesday, a music school held a dance concert and a punk concert at the same time. A total of 2,231 people attended the concerts. If 521 people were at the dance concert, how many people were at the punk concert?
ANSWER: 1,710
Subtract the number of people at the dance concert from the total number of people.
Subtract:
2,231− 521
Subtract the ones.
Subtract the tens.
Subtract the hundreds. You need to carry over first. Subtract 12 – 5.
Subtract the thousands.
The difference is 1,710. There were 1,710 people at the punk concert.
Write 10/3 as an improper fraction.
Divide 10 by 3.
10 divided by 3 = 3R1
You can make 3 wholes and will have 1/3 left over.
Write the mixed number:
3 1/3
Tammy bought 8.9 kilograms of apples and 3.1 kilograms of oranges. How much fruit did she buy in all?
ANSWER: 12.0kg
Add the numbers of kilograms. Remember to line up the decimal points.
Tammy bought 12.0 kilograms of fruit.
What number does this Roman numeral represent?
XIII
ANSWER: 13
You need to remember
I = 1
X = 10
The swimming club went to a swim meet in another town. They took 5 cars and 5 vans. There were 5 people in each car and 7 people in each van. How many people went on the trip?
ANSWER:60
Step 1: Find the number of people in cars.
5 × 5 = 25
Step 2: Find the number of people in vans.
5 × 7 = 35
Step 3: Find the total number of people.
25 + 35 = 60
60 people went on the trip.
Multiply:
728× 56
ANSWER: 40 768
Multiply the ones. Remember to carry over.
Multiply the tens. Remember to carry over.
Now add the results.
728×564,368+36,40040,768
The product is 40,768.
What number is 1/5 of 10?
Divide 10 into 5 equal groups. Find how many are in each group.
10 divided by 5 = 2
There are 2 in each group.
2 is 1/5 of 10.
Which sign makes the statement true?
4.4 ? 0.7 + 4.2
Simplify the right side.
4.4 ? 4.9
Compare the numbers:
4.4 < 4.9
The < makes the statement true.
For a parade, 42 dancers arranged themselves evenly in 6 rows. How many dancers were in each row?
ANSWER:7
Divide the number of dancers by the number of rows: 42 divided by 6 = 7
In Cora's desk drawer there are 7 yellow highlighters. There are 12 more pink highlighters than yellow highlighters, and there are 2 more blue highlighters than pink highlighters. How many highlighters are in Cora's desk drawer in all?
ANSWER: 47
Step 1: Find the number of pink highlighters.
7 + 12 = 19
Step 2: Find the number of blue highlighters.
19 + 2 = 21
Step 3: Find the total number of yellow, pink, and blue highlighters.
7 + 19 + 21 = 47
There are 47 highlighters in Cora's desk drawer.
A hotel has $78 to buy new pillows. If the cost of each pillow is $13, how many pillows will the hotel be able to buy?
ANSWER: 6
Divide the amount of money by the cost of each pillow.
13 divided by 78 = 6
Type the missing number that makes these fractions equal:
3/5 = ?/10
ANSWER:6/10
How many times does 5 go into 10?
10 divided by 5 = 2
3 x 2 = 6 or 6 divided by 3 = 2
6/10 is the equal fraction.
How do you write 0.2 as a fraction?
ANSWER: 1/5
Write the decimal as a fraction with 10 as the denominator. Reduce the fraction to simplest form.
0.2 = 2/10
=2 divided by 2 / 10 divided by 2
= 1/5
What is the highest common factor of 5 and 9?
ANSWER: 1
Remember:the highest common factor is the largest whole number that is a factor of each of two or more numbers.
List the factors of each number. Find the largest number that appears in both lines.
Factors of 5: 1, 5
Factors of 9: 1, 9, 3
The highest common factor of 5 and 9 is 1.
A crayon company recently changed its labels. It currently has a total of 7,515 crayons in stock, 668 of which have the new label. How many crayons with the old label does the company have in stock?
ANSWER: 6,847
Subtract the number of crayons with the new label from the total number of crayons.
Subtract:
7,515− 668
Subtract the ones. You need to carry over first. Subtract 15 – 8.
Subtract the tens. You need to carry over first. Subtract 10 – 6.
Subtract the hundreds. You need to carry over first. Subtract 14 – 6.
The difference is 6,847. The company has 6,847 crayons with the old label in stock.