Friday, July 23, 2010

GED Math: Place Value

In what place is the digit 3 in 12, 346? hundreds

In what place is the digit 9 in 934, 501? hundred-thousands

In what place is the digit 8 in 948, 203? thousands

What is the value of the digit 3 in 12, 346? 3 x 100 = 300

What is the value of the digit 9 in 934, 501? 9 x 100,000 = 900,000

What is the value of the digit 8 in 948, 203? 8 x 1,000 = 8,000

Thursday, July 22, 2010

GED Math: Whole Number Place Value

Every whole number is made up of digits. The number 36 has two digits and the number 316 has three digits.

The position of each digit determines its place value.


ten-thousands
thousands
↑ ↑ hundreds
↑ ↑ ↑ tens
↑ ↑ ↑ ↑ ones
6 9, 2 0 3

The 6 is in the ten-thousands place. 6 x 10,000
The 9 is in the thousands place. 9 x 1000

The 2 is in the hundreds place. It has a place value of 2 x 100.
The 0 is in the tens place. It has a place value of 0 x 10.
The 3 is in the ones spot. It has a place value of 3 x 1

60,000 + 9000 + 200+ 3 = 69, 203

Wednesday, July 21, 2010

GED Math: Whole Number Identification

Which of the following are whole numbers?

0, 5.5, 8, 12, 31 2/3, 203, and 2.01

Solution: 0, 8, 12, and 203

Tuesday, July 20, 2010

GED Math: Whole Numbers

Whole numbers are written with the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Think of a whole number as a number that can be divided by another number with no remainder.

Examples of whole numbers: 2, 16, 29, 216

Examples of numbers that are Not whole numbers: 3.2, 8 1/2

Monday, July 19, 2010

Susan is sewing curtains for her sister Maria. Each set of curtains takes 8 1/2 yards of material. If Susan has 60 yards of materials, how many full sets of curtains can Susan sew?

Solution: 60 ÷ 8 1/2 = 60 ÷ 8.5 = 7.06

So... Susan can make 7 full sets of curtains.

Saturday, July 17, 2010

The sum of three consectutive numbers is 69. What are they?

Solution: 22, 23, 24

First Integer: x
Second Integer: x + 1
Third Integer: x + 2

(x) + (x + 1) + (x + 2) = 69
3x + 3 = 69
3x + 3 - 3 = 69 - 3
3x = 66
(3x)/3 = 66/3
x = 22

Friday, July 09, 2010

Lukas is planning on putting fencing around his rectangular yard. If his yard measures 205 ft. by 100 ft, and there is a gap of 30 ft for the driveway and front lawn, how many feet of fencing would Lukas need to complete his project?

Solution: 2(205) + 2 (100) - 30 = 410 + 200 - 30 = 580 ft.

Thursday, July 08, 2010

Sarah picked up 3 pizzas and cut each of the pizzas into 6 equal slices. If she has five friends over and they are all equally hungry.... how many slices will each of them get? Will there be any left over?

Answer: If there are 3 pizzas cut into six slices.... this gives a total of 18 slices. Five friends plus Sarah makes 6 hungry people. Each person will get 3 slices with 0 left over. Sure hope she ordered extra large pizzas!

Thursday, July 01, 2010

What is the perimeter of a perfect square with an area of 36 square inches?

Solution: First, use the formula for area to determine what the length of the square's side.

Area = side squared ..... With an area of 36, each side of the square is 6 inches.

Once you have found the length of the square's side, use the formula for the square's perimeter.

Perimeter = side x 4

Perimeter = 6 in. x 4

Perimeter = 24 inches