Place – the position of a digit in a number. Example: hundreds, tens, ones 4,867,231.465 Hundred...

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Place Value

Transcript of Place – the position of a digit in a number. Example: hundreds, tens, ones 4,867,231.465 Hundred...

Place Value

Place – the position of a digit in a number. Example: hundreds,

tens, ones

4,867,231.465

HundredThousand

s

Millions

TenThousand

s

Thousands

Hundreds

Tens Ones Tenths

Hundredths

Thousandths

Value – the value of a digit according to its place in a

number. Example : 400, 60, 6

4,867,231.465

800,0004,000,000

60,000

7,000

200

30 1 0.4

0.06

0.005

Period – Each group of three digits in a large number.

4,867,231.465

DecimalsOnesThousandsMillions

Standard Form – A way to write numbers by using the digits 0-9, with each digit having a place value.

4,867,231.465

Word Form – A way to write numbers using words.

Four million, eight hundred sixty-seven thousand, two

hundred thirty-one, and four hundred sixty-five

thousandths

Expanded Form – A way to write numbers by showing the value of

each digit.

4,000,000 + 800,000 + 60,000 + 7,000 + 200 + 30 + 1 + 0.4 + 0.06

+ 0.005

Together

How do we write the following numbers in standard form?

1. Nine hundred fifty-eight and forty-two hundredths

2. Twenty-five thousand, seventy-four and three thousandths

3. Four hundred nine and one hundred fourteen thousandths

How do we write the following numbers in word form?

283.164

405.93

3,186.048

2,830.7

How do we write the following numbers in expanded form?

641.23

807.549

1,573.098

9,714.538

Your Turn

How do we write the following numbers in standard form?

Seven thousand, nine hundred forty-two, and twenty-three thousandths

Seven hundred sixty-three and two hundred eighty-three thousandths

Fifty-seven thousand, one hundred thirty-six and two hundred three thousandths

How do we write the following numbers in word form?

85.426

370.119

7,526.806

24,583.068

How do we write the following numbers in expanded form?

29.058

358.702

1,234.067

408.569