Business Math guided notes on whole numbers and decimals with examples and rounding steps.

It looks like you've uploaded a worksheet titled "Business Math: Chapter One Guided Notes" focusing on whole numbers and decimals, specifically covering:

1. Decimal point definition
2. Writing decimals in words
3. Rounding whole numbers

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🔹 NOTES FOR LESSON 1.1: WHOLE NUMBERS AND DECIMALS

#### DEFINE: WHOLE NUMBERS
> Whole numbers are the numbers to the left of the decimal point.
> A comma is used at every thousand place.

✔ Explanation:
Whole numbers are non-negative integers (0, 1, 2, 3, ...). They do not include fractions or decimals. The decimal point separates whole numbers from decimal parts. Commas are used as place value separators every three digits (e.g., 1,000; 10,000).

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✔ EXAMPLE 1: Write the following numbers in words

#### a. 7835
Answer: Seven thousand eight hundred thirty-five

#### b. 11,356,075
Answer: Eleven million three hundred fifty-six thousand seventy-five

#### c. 17,050,017,000
Answer: Seventeen billion fifty million seventeen thousand

> ✔ Tip: Break down large numbers into groups of three digits starting from the right:
> - 17,050,017,000 → 17 billion | 050 million | 017 thousand | 000
> - Then write each group in words.

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🔹 ROUNDING WHOLE NUMBERS TO...

Here’s the rounding procedure:

#### Step 1: Locate the digit to which the number is to be rounded. Draw a line under that place.

#### Step 2: Look at the digit to the right of the underlined digit.
- If it is 5 or more, round up: add 1 to the underlined digit.
- If it is less than 5, keep the underlined digit the same.

#### Step 3: Change all digits to the right of the underlined digit to zero.

✔ This is standard rounding rules.

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✔ EXAMPLE 2: Round the numbers

#### a. 9.79 to nearest ten

Wait — this is a decimal, but we’re rounding to the nearest ten? That means we’re rounding to the tens place, so we need to look at the ones place.

But 9.79 is less than 10. So:

- The tens place is 0 (since 9.79 is between 0 and 10)
- The ones digit is 9, which is ≥ 5 → round up
- So, 9.79 rounds to 10

➡️ Answer: 10

> 💡 Note: Rounding 9.79 to the nearest ten gives 10 because 9.79 is closer to 10 than to 0.

#### b. 34,127 to nearest thousand

- Identify the thousands place: 4 (in 34,127)
- Look at the digit to the right: 1 (hundreds place)
- Since 1 < 5 → do not round up
- Change all digits to the right to zero

So, 34,127 → 34,000

➡️ Answer: 34,000

#### c. 498,712 to nearest ten thousand

- Ten thousands place: 9 (in 498,712 → the "9" is in the ten-thousands place: 490,000)
- Look at the digit to the right: 8 (thousands place)
- 8 ≥ 5 → round up
- So, 49 becomes 50
- Replace the rest with zeros

498,712 → 500,000

➡️ Answer: 500,000

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✔ Final Answers:

#### Example 1:
a. Seven thousand eight hundred thirty-five
b. Eleven million three hundred fifty-six thousand seventy-five
c. Seventeen billion fifty million seventeen thousand

#### Example 2:
a. 10
b. 34,000
c. 500,000

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