To subtract decimals, line up the decimal points so that place-value positions match.
C
Multiply just like both numbers were both whole numbers. Place the decimal point in the product by counting the number of decimal places in each factor.
A
7.13, see solution.
B
4.564, see solution.
C
2.88, see solution.
Practice makes perfect
We want to simplify the given expression.
1.234+0.58+5.316
We can start by adding 1.234 and 0.58. To add decimals, we line up the decimal points so that place-value positions match. We will add a zero to the second number so that each place has a digit.
Now we add the decimals just like we would with whole numbers, then place the decimal point in the answer.
The sum of 1.234 and 0.58 is 1.814. Next, we calculate the sum of 1.814 and 5.316 in a similar way. To add decimals, we line up the decimal points so that place-value positions correspond.
We then add the decimals like we do with whole numbers and place the decimal point in the answer.
The sum of 1.814 and 5.316 is 7.130, which can be also written as 7.13.
To subtract decimals, we line up the decimal points so that place-value positions match. We will also add two zeros to the first number so each place has a digit.
Now we subtract the decimals just like we would with whole numbers and place the decimal point in the answer.
The difference between the numbers is 4.564.
We want to find to simplify the given expression.
4.8* 0.6
To multiply the given product, we can first rewrite 4.8 as a sum of 4 and 0.8.
4.8* 0.6=(4+0.8)0.6
Let's use the generic rectangle model to represent our expression.
Notice that our model illustrates the Distributive Property. Let's rewrite the expression!
(4+0.8)0.6=4(0.6)+0.8(0.6)
Now we can perform the multiplications before adding the products.
