Stephen went shopping to buy some new school supplies. He bought a backpack that cost $28.67 and a scientific calculator for $34.88. How much money did Stephen spend altogether?

### Adding Decimals

When you add decimals you are adding whole numbers and like fraction parts. To make this process simpler, you should add decimal numbers using the vertical alignment method. The decimal points must be kept directly under each other and the digits in the same place value must be kept in line with each other. If the decimal numbers are signed numbers, the rules for adding integers are applied to the problem.

#### Add the decimals

Begin by writing the question using the vertical alignment method.

Don't forget that the decimal points must be kept directly under one another. To ensure that the digits are aligned correctly, add zeros to 48.6.

Add the numbers.

#### Add the decimals

The first step is to write the problem using the vertical alignment method. The two decimal numbers that are being added have opposite signs. Apply the same rule that you used when adding integers that had opposite signs – subtract the numbers and use the sign of the larger number in the answer.

The larger number is 97.38 and it has a positive sign. This means that the sign of the answer will also be a positive value.

#### Add the decimals

The first step is to write the problem using the vertical alignment method.

To ensure that the digits are aligned correctly, add zeros to 168.8.

Add the numbers.

The numbers being added each had negative signs. This means that the sign of the answer is also a negative value.

### Examples

#### Example 1

Earlier you were asked how much did Stephen spend altogether.

Stephen went shopping to buy some new school supplies. He bought a backpack that cost $28.67 and a scientific calculator for $34.88.

Stephen bought two items. To determine the total amount of money he spent, add the prices of the items.

The numbers and the decimal points have been correctly aligned. Now add the numbers.

Stephen spent $63.55 altogether.

#### Example 2

You can add all three numbers at once.

#### Example 3

Add the two positive numbers together:

Subtract the negative number from the result:

#### Example 4

### Review

Add the following numbers.

14.36+9.42 52.72+27.163 0.26+4.5+1.137 37.231+14.567 78.32+6.2+19.46 65.23+12.75 148.067+53.78+6.9 56.75+14.9294+17.854 18+26.87+65.358 23.067+268.93+9.4 (−24.69)+(−39.87) (76.35)+(−36.68) (−12.5)+(47.97)+(−21.653) (62.462)+(254.69)+(−427.9) (−37.76)+(−45.8)+(53.92)

Determine the answer to the following problems.

- When the owners of the Finest Fixer Co. completed a small construction job, they found that the following expenses had been incurred: labour, $975.75; gravel, $88.79; sand, $43.51; cement, $284.96; and bricks $2214.85. What bill should they give the customer if they want to make a profit of $225 for the job?
- A tile setter purchases the following supplies for the day:
- One bag of thin-set mortar - @$5.67 per bag

- 44 sq ft of tile - @$107.80 for 44 sq ft of tile

- One gallon of grout - @$17.97 per gallon

- One container of grout sealer - @$32.77 per container

- 3 containers of grout and tile cleaner - @$5.99 per container

- 4 scrub pads - @$2.78 each

- One trowel - @ $3.95 each

- 2 packages of tile spacers - @$2.27 each

- One grout bag - @$2.79 each

- One grout float - @$10.45 each

What is the cost of these items before tax is added?

- The four employees of the Broken Body Shop earned the following amounts last week: $815.86, $789.21, $804.18 and $888.35. What is the average weekly pay for the employees?
- Jennifer bought the following school supplies:
- 1000 sheets of paper - @$14.67

- 36 pencils - @ $6.55

- 1 binder - @$18.48

- 1 backpack - @ $22.74

- 1 lunch bag - @ $4.64

How much did Jennifer spend on these supplies before taxes?

- A local seamstress needs to purchase fabric to sew curtains for the local theatre. She needs 123.75 yd. of black cotton for a backdrop, 217.4 yd. of white linen for stage curtains, 75 yd. for accessory curtains and 98.5 yd. for costumes. How many yards of fabric must be purchased to fill this order?

### Answers for Review Problems

To see the Review answers, open this PDF file and look for section 1.3.