Hadley

Braille for Everyday Use

Workshop 10: Numbers−Decimal, Comma, Fraction

Opening

Hadley Presents Braille for Everyday Use: Numbers, Workshop 10: Decimal, Comma, Fraction

Page 1

Are you ready to learn more about numbers?

Feel the braille in the top left corner of the page. This is the number “1.”

Below the middle line, you’ll find a row of braille numbers, 1 through 10.

Go ahead and read the numbers in order.

And here’s something new: Feel the braille in the bottom right corner of the page.

Did you recognize the number 1? Braille numbers will now be in the bottom right corner of each page. You can use them to be sure you’re on the right page.

Turn the page.

Page 2

Let’s learn some punctuation that can be used with numbers.

Feel the braille in the top left corner of the page. The first symbol is a full cell. The second symbol is a decimal point, dots 2-5, and 6.

The decimal point is often referred to as a “dropped d.”

In the following workshops, the full cell helps show the position of the new symbol, because some punctuation marks use the bottom of the braille cell.

The decimal point uses the middle dot on the first side of the braille cell and the middle and bottom dots on the second side of the braille cell.

Below the middle line, you’ll find three rows of decimal points.

Place your fingers on the decimal point at the beginning of the first row. No need to count, just feel each row from left to right.

Turn the page.

Page 3

Feel the two decimal points in the top left corner of the page.

Below the middle line, you’ll find three rows of decimal points.

From left to right, count the number of decimal points in the first row.

There are four decimal points in the first row.

Now, count the number of decimal points in the second row.

There are five.

And last, count the number of decimal points in the third row.

If you counted eight decimal points in this row, you found them all!

Turn the page.

Page 4

Feel the full cell and the decimal point in the top left corner of the page.

Let’s practice reading the full cell and the decimal point.

The decimal point is similar to the letter d, but it is in the lower part of the cell.

Below the middle line are two rows of braille.

One row has full cells and d’s, and one row has full cells and decimal points. Find the row that has the full cells and decimal points. You might find this a bit tricky, so you may want to take a little extra time here.

Did you find the decimal points in the first row? That’s correct!

Turn the page.

Page 5

Feel the braille in the top left corner of the page. This is the number “1.5.” Notice that there are no spaces in numbers with decimal points.

Below the middle line are three numbers, each written with a decimal point.

Find the row with the number 1.5.

The middle row is 1.5.

Which row is 4.1?

Did you find 4.1 in the first row?

If you did, you got it!

How about 9.2?

The last row is 9.2.

Turn the page.

Page 6

Feel the braille in the top left corner of the page. This is the number “1.24.”

Below the middle line are three boxes arranged from left to right. Each box contains a number with a decimal point.

Scan to find the box with the number 1.24, just like the number in the top left corner.

If you chose the middle box, you got it!

Turn the page.

Page 7

Feel the decimal point in the top left corner of the page. You might use decimals when you’re taking measurements around your home.

Below the middle line is a list of measurements.

Which row is the measurement 8.5 inches?

The second row is 8.5 inches.

Which row reads 6.3 feet?

The last row reads 6.3 feet.

What about 0.9 inches?

Did you find this in the first row? That’s right!

And which row reads 4.3 feet? The third row says 4.3 feet.

Don’t worry if you didn’t get them all. Just replay this page at the end. As with anything new, give yourself time and patience, and you’ll get there.

When you’re ready, turn the page.

Page 8

Feel the braille in the top left corner of the page. This is a full cell followed by a comma, dot 2. The comma uses only the middle dot on the first side of the braille cell.

Below the middle line, you’ll find three rows of commas.

Place your fingers on the comma at the beginning of the first row. No need to count, just feel each row from left to right.

Turn the page.

Page 9

Feel the two commas in the top left corner of the page.

Below the middle line, you’ll find three rows of commas.

From left to right, count the number of commas in the first row.

There are four.

Now, count the number of commas in the second row.

If you counted three, you’re right!

And last, count the number of commas in the third row.

There are seven commas in this row.

Turn the page.

Page 10

Feel the full cell and the comma in the top left corner of the page. The comma, dot 2, is similar to the letter “a,” dot 1, but it’s lower in the cell.

Let’s practice reading the full cell and the comma.

Below the middle line are two rows of braille−one with full cells and commas, and one with full cells and a’s.

Which row has the commas?

If you said the second row, you got it!

Turn the page.

Page 11

Find the number in the top left corner of the page.

This is 1,000. There are no spaces in numbers that use commas.

Below the middle line are three rows of braille.

Which row has the number 1,234 using the comma correctly?

If you said the second row, you’re right!

Turn the page.

Page 12

Feel the two commas in the top left corner of the page.

Below the middle line are three rows of numbers using a comma.

Find the number that tells us 3,200 people attended the local farmer’s market.

The second row says 3,200. Did you feel the comma right after the number 3?

Which row tells us 3,100 people attended?

The first row says 3,100.

And how many attendees are listed in the last row?

If you said 2,300, you’re right!

Turn the page.

Page 13

Feel the braille in the top left corner of the page. This is the full cell followed by the fraction line, dots 3-4.

The fraction line uses the bottom dot on the first side of the braille cell and the top dot on the second side.

The braille fraction line looks like the print fraction line. The line slopes up from the bottom left side to the top right side.

Below the middle line, you’ll find three rows of fraction lines.

Place your fingers on the fraction line at the beginning of the first row. No need to count, just feel each row from left to right.

Turn the page.

Page 14

Feel the two fraction lines in the top left corner of the page.

Below the middle line, you’ll find three rows of fraction lines.

From left to right, count the number of fraction lines in the first row.

There are three fraction lines in the first row.

Now, count the number of fraction lines in the second row.

If you counted five, you’re right!

And last, count the number of fraction lines in the third row.

There are four in this row.

Turn the page.

Page 15

Feel the full cell and the fraction line in the top left corner of the page.

Notice that the fraction line feels similar to the letter “k,” except it leans to the right.

Let’s practice reading the full cell and the fraction line.

Below the middle line are two rows of braille. Feel the braille in both rows.

Which row has the full cell and the fraction line?

The first row has the full cell and the fraction line.

Turn the page.

Page 16

Feel the number in the top left corner of the page. This is the fraction “2/3.”

Notice that fractions are written with the numeric indicator at the beginning, and no spaces.

Below the middle line are three rows of simple fractions. Find the fraction 2/3.

Did you choose the last row? If so, you found it!

Turn the page.

Page 17

Feel the fraction 1/2 in the top left corner of the page.

You can label measuring cups and spoons using the fraction line!

Find the sticker in the top right corner of the page.

It says, “1/2.”

Below the middle line are four boxes arranged from left to right. Each box contains a fraction.

Find the fraction 1/2.

If you found it in the second box, you’re right!

You can place the sticker labeled “1/2” over the correct box, or use it to label your own measuring cup.

Turn the page.

Page 18

Feel the braille in the top left corner of the page. This is the mixed fraction “1 3/4.”

When a fraction is part of a mixed number, like 1 3/4, you don’t use any spaces in braille. But you do include two numeric indicators−one at the beginning for the whole number and one just before the fraction.

Below the middle line are three rows of mixed fractions.

Find 1 3/4.

1 3/4 is in the second row.

Which row has the fraction 1 2/3?

Did you choose the first row? If you didn’t find it, feel free to pause the audio and try again.

How about 1 1/4?

The last row is 1 1/4.

When you’re ready, turn the page.

Page 19

Feel the fraction 1/4 in the top left corner of the page. You might use fractions in your favorite recipes.

Below the middle line is a list of ingredients for chocolate chip cookies. Read through the whole list to answer each question.

How much flour is needed?

2 1/2 cups of flour are needed.

Which two ingredients call for a quarter cup?

If you said sugar and butter, you got it!

Now, how many cups of chocolate chips are needed?

1 2/3.

Did you get the answers right? Trying twice sometimes helps−press replay at the end if you’d like a second look.

When you’re ready, turn the page.

Page 20

Feel the decimal point, comma, and fraction line in the top left corner of the page.

Let’s practice reading different types of numbers.

Below the middle line are four rows of braille.

Find the number 1,500.

1,500 is in the third row.

Which row has the fraction 1/5?

Did you find 1/5 in the last row? That’s right!

How about the fraction 1 1/2?

The second row has 1 1/2.

And where is the decimal number 1.5?

1.5 is in the first row.

Turn the page.

Page 21

With these new punctuation symbols for numbers, you can read recipes and measurements.

In fact, why not use braille labels, like the 1/2 label included in this workshop, to tell items like your measuring cups apart?

Contact a braille expert at 847-784-2816 for other fun and useful ways to use these symbols.

Select Next to complete this workshop.

Completion

Congratulations! You’ve learned the decimal point, comma, and fraction line.