Math-Topic 1 Place value
Write 791,823 in expanded form.
100,000 + 90,000+1,000+800+20+3
Digit is a multiple meaning word. What are the two main meanings of digit?
A digit can mean a mathematical symbol used to write numbers. Or a digit can mean a "finger."
What is a digit?
A digit is one of ten mathematical symbols used to write numbers.
True or False. The place of the 8 in 256,791,823 is the one thousands place.
False. The place of the 8 is in the hundreds place.
True or False. The value of the 8 in 256,791,823 is eighty.
False. The value is 800.
List five periods to the left of the decimal point starting from the smallest place value.
Five periods to the left of the decimal point are the ones, thousands, millions, billions, and trillions.
List four periods to the right of the decimal point.
Four periods to the right of the decimal point are the tenths, hundredths, thousandths, and ten thousandths.
Why is it important that we understand the principles of Place Value.
It is important to understand the principles of place value so we can read, write, and work with all kinds of numbers accurately.
On a Place Value table, how much larger is the place value position to the left of a digit in a number.
The place value position to the left of a digit in a number is always 10 times larger than that digit.
Write 256,791,823 in word form.
Two hundred fifty-six million, seven hundred ninety-one thousand, eight hundred twenty three.
An example of a digit is . . .
any one of the following (0, 9, 8, 7, 6, 5, 4, 3, 2, 1) or
The synonym of numeral is . . .
digit.
Place Value Position
the place a numeral or digit holds in a number
Place value
shows what a numeral or a digit is worth, or what its value is
Write a number that has a 7 in the hundred thousands place.
256,791,823
Write four hundred eighty-seven billion, eight hundred ninety-two million, one hundred sixty-nine thousand, twenty three in standard form.
487, 892, 169, 023
If One Million is a million times larger than One, how many times larger is One Billion than One Thousand.
One Billion is One Million times larger than One Thousand. Example: 1, 000, 000, 000 1, 000 There are six places difference between One Thousand and One Billion. Since each place is 10 X larger than the place to its right, you would multiply 10 x 10 x 10 x 10 x 10 x 10 which equals 1, 000, 000.
What is the difference between Place and Value?
Place shows the position of a digit in a number. Value shows how much the digit is worth, or what its quantity is.
Place Value :
Place value defines or tells the value (or the worth) of the digit based on its position in the number. Based on the position, it's split into different units like ones, tens, hundreds, thousands etc., Large numbers are written with commas that separate the periods. Example : The number 3, 4 5 6 consists of 3, 000, or three thousands 400, or four hundred 50, or fifty, or five tens and 6, ones
On a Place Value table, how much smaller is the place value position to the right of a digit in a number.
The place value position to the right of a digit in a number is always 10 times smaller than the position on the left.
What is the value of the 6 in the following number, 487, 892, 169, 023?
The value of the 6 is sixty thousand or 6 x 10, 000.
Two words describe the mathematical symbols used to write numbers. What are they?
The words are numeral or digit.
Place Value Table
a chart or table to show the PLACE and VALUE of a digit or numeral
Period
a group of values in a number separated by a comma (hundreds, tens, or ones) where each place value position is exactly 10 times greater than the place value position to its right.
A number is . . .
a value written using digits or numerals.
The synonym of digit is . . .
numeral.
