Place Value to Nine Digits

What you'll learn

Read, write, and name whole numbers up to nine digits in standard, expanded, and word form
Name the place and value of each digit through hundred millions
Round whole numbers to any place

Words to know

Digit —: any of the symbols 0-9 used to write numbers
Place value —: what a digit is worth because of where it sits
Period —: a group of three places set off by commas
Standard form —: a number written with digits, like 253,146,900
Expanded form —: a number shown as the sum of each place value
Round —: give a close value ending in zeros

Why it matters Nine-digit numbers name populations, budgets, and distances, and place value lets us read each one correctly.

Worked examples

Model ItI do

Name the place and value of the 6 in 634,208,157.

The 6 sits in the hundred-millions place, so its value is 600,000,000. The commas break the number into periods (millions, thousands, ones), which makes each place easy to find.

Try It TogetherWe do

Round 47,382 to the nearest thousand.

Look at the hundreds digit, which is 3. Since 3 is less than 5, the thousands digit stays the same. So 47,382 rounds to 47,000.

Now YouYou do

Write 5,060,900 in word form.

Read one period at a time, from left to right, and say the period name. Check your answer in the back of this chapter.

Practice

Mastered 0 of 11

Warm-up

Ease in with the basics.

1.Write the value of the 5 in 3,521.
2.Round 62 to the nearest ten.
3.Write 4,000 + 300 + 20 + 7 in standard form.

On Level

The core Quick Check from the book.

1.Write the value of the 8 in 812,345,000.
2.Round 6,548 to the nearest hundred.
3.Write 30,000,000 + 400,000 + 20 in standard form.
4.Write 2,015,000 in word form.
5.Round 289,500 to the nearest thousand.

Challenge

Stretch your thinking.

1.Write the value of the 3 in 738,914,205.
2.Round 149,650,000 to the nearest million.
3.Write six hundred five million, forty thousand, nine in standard form.