Place Value Study Guide
SOL 4.1 a-c
VALUE-The value of a digit is how much it is worth. Write that digit, and fill all the place value spaced behind it with zeros. You will always write a number when asked for the value.
-Take the number 45,678: the value of the 5 is 5,000 because the 5 is in the thousands place.
Write the value for the underlined digits:
3281,456234,74565,4381,298,937
______
THREE WAYS TO WRITE A NUMBERStandard Form: 453,892
Word Form: Say the number aloud to yourself and write the words.
Four hundred fifty-three thousand, eight hundred ninety-two
Expanded Form: Write the VALUE OF EACH DIGIT joined with plus signs.
452,892 = 400,000 + 50,000 + 2,000 + 800 + 90 + 2
Write these numbers in standard form:
Strategy: Look at the largest number and draw spaces for each place value—draw spaces for your places!!!
800,000 + 9,000 + 700 + 20 = ______, ______
4,000,000 + 600,000 + 50,000 + 800 + 30 + 1 =
Write the following numbers in expanded form:
Strategy: Write the VALUE OF EACH DIGIT joined with plus signs.
245,897 = ______
3,570,709 = ______
Write these numbers in word form:
Strategy: Say the number aloud to yourself and write the words.
432,875 = ______
6,790,201 = ______
ORDER AND COMPARELook at the largest place values first. If the digits are the same, move to the right until you find two different digits and determine which is greater.
7,654,231 _____ 7,654,132
Compare the numbers and write > , < or =.
23,456 _____ 24,3564,879,432 _____ 498,732
6,090 _____ 6,190 5,783,249 _____ 5,783,250
Put these numbers in order from greatest to least.
456 465 455 ______
5,897 5,987 5,789 ______
8,945 985 9,400 ______
ROUNDING/ESTIMATINGWhen you round a number,
First: Underline the place value that is being rounded.
Second: Draw an arrow from the “bossy” number on the right to the underlined number.
Third: Ask yourself, “Is the bossy number big enough to make the underlined number jump up, or does it stay the same?”
If the bossy number is:
0,1,2,3,4……it stays the same
5,6,7,8,9…..it jumps up!
Fourth: All numbers to the right of the underlined number turn to ZERO
Fifth: All the numbers to the left of the underlined number STAY THE SAME!
Round these numbers to the nearest ten:
589297
4566541,237
Round these numbers to the nearest hundred:
1,243,1354,65430,094
202,998983,789,052
Round these numbers to the nearest thousand:
7,287,3475,2629,108
183,8831,298,447529,109
Choose the description on the right that defines the word on the left. Write the letter of the description on the line beside the word.
1. ______MillionsA. Next largest place value after hundreds
2. ______Thousands PlaceB. Number form: 10,908
3. ______Ten Thousands PlaceC. Greatest place value in the thousands period
4. ______Hundred Thousands PlaceD. Period after the thousands period
5. ______Standard FormE. Next largest place value after the thousands place value
6. ______Expanded FormF. 7,000 + 400 + 30 + 5
7. ______CommaG. Holds our “houses” three place values
8. ______PeriodH. Ones period
9. ______Units PeriodI. Used to separate periods
10.______DigitJ. Numbers 0-9