Place Value to Six Digits

What you'll learn

Read and write whole numbers up to six digits in standard, expanded, and word form
Name the place and the value of each digit
Compose and decompose numbers by place value

Words to know

Digit —: any of the symbols 0–9 used to write numbers
Place —: where a digit sits (ones, tens, hundreds, …)
Value —: what a digit is worth because of its place
Standard form —: a number written with digits, like 253,146
Expanded form —: a number shown as the sum of each place value

Why it matters Place value lets us read prices, populations, and distances correctly — the same digit means very different amounts depending on where it sits.

Worked examples

Model ItI do

Name the place and value of each digit in 253,146.

The 2 is in the hundred-thousands place, so its value is 200,000. The 5 is 50,000, the 3 is 3,000, the 1 is 100, the 4 is 40, and the 6 is 6. In expanded form: 200,000 + 50,000 + 3,000 + 100 + 40 + 6.

Try It TogetherWe do

Write 40,208 in word form and expanded form.

Word form: forty thousand, two hundred eight. Notice the tens place is 0, so we do not say any tens. Expanded form: 40,000 + 200 + 8.

Now YouYou do

In the number 618,027, what is the value of the 8?

Find the place of the 8, then name its value. Check your answer in the back of this chapter.

Practice

Mastered 0 of 11

Warm-up

Ease in with the basics.

1.What is the value of the 6 in 462?
2.Write 3,000 + 500 + 20 + 8 in standard form.
3.Write the number 274 in expanded form.

On Level

The core Quick Check from the book.

1.Write 305,072 in word form.
2.Write the value of the 7 in 174,300.
3.Write 60,000 + 4,000 + 90 + 2 in standard form.
4.How many tens are shown by the digit 5 in 3,150?
5.Write two hundred nine thousand, forty in standard form.

Challenge

Stretch your thinking.

1.Write 508,013 in word form.
2.In 736,482, what is the value of the digit 3?
3.Write eighty thousand, six hundred five in standard form.