5th Grade Math › Common Core Math: Grade 5
What number is three hundred twenty-four and thirty-seven hundredths?
In number form, three hundred twenty-four and thirty-seven hundredths is . The "and" signifies the decimal, and "hundredths" signifies the place value of the last decimal number.
Add the following:
We can use base ten blocks to help us solve this problem. Let's review what our base ten blocks are by using a whole number
When we put this together, we add:
To use base ten blocks to add decimal numbers, we need to think of the base ten blocks a little differently. We think of the hundreds block as one whole. The tens block as tenths because you would need ten of these to make one whole. Finally, the ones block as hundredths because you would need a hundred of these to make one whole:
Let's look at this problem:
First, we want to represent the with one tenths block and five hundredths blocks:
Next, we want to represent the with three tenths block and two hundredths blocks:
Now, we want to combine our blocks together:
We can see that we now have four tenths blocks and seven hundredths blocks, which means our answer is
David has of peanuts that he wants to divide evenly into
bags. How much will each bag of peanuts weigh?
We are splitting into
equal groups, so we are dividing
by
.
To solve we multiply by the reciprocal.
Solve:
When solving this problem, remember order of operations PEMDAS. The parentheses come first, followed by the multiplication, and then the addition.
Tom has gallons of soda. Each glass holds
of a gallon. How many glasses can he fill?
Think: How many s are in
wholes?
To solve we multiply by the reciprocal
Andrew has gallons of soda. Each glass holds
of a gallon. How many glasses can he fill?
Think: How many s are in
wholes?
To solve we multiply by the reciprocal
Add the following:
We can use base ten blocks to help us solve this problem. Let's review what our base ten blocks are by using a whole number
When we put this together, we add:
To use base ten blocks to add decimal numbers, we need to think of the base ten blocks a little differently. We think of the hundreds block as one whole. The tens block as tenths because you would need ten of these to make one whole. Finally, the ones block as hundredths because you would need a hundred of these to make one whole:
Let's look at this problem:
First, we want to represent the with one tenths block and five hundredths blocks:
Next, we want to represent the with three tenths block and two hundredths blocks:
Now, we want to combine our blocks together:
We can see that we now have four tenths blocks and seven hundredths blocks, which means our answer is
What number is eight hundred sixty-two and four tenths?
In number form, eight hundred sixty-two and four tenths is . The "and" signifies the decimal, and " tenths" signifies the place value of the last decimal number.
Select the equation that reflects the phrase below.
Find the product of times the quotient of
divided by
When you are asked to find the product that means we are going to multiply. Because we are multiplying and dividing in this question, we do not need to use parentheses because with multiplication and division you work the problem out from left to right. So first we have the division problem, then we multiply because it says to find the product of the quotient (answer to a division problem), which means we need to divide first.
Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.