Florida Grade 4 Math · Number Sense and Operations

MA.4.NSO.1.1: How a Digit's Value Changes

What this Grade 4 benchmark means, worked examples, common mistakes, and a free printable worksheet.

Created by a Florida mom · Published by Tropical Learning LLC

What Is Benchmark MA.4.NSO.1.1?

In our place value system, each place is worth 10 times the place to its right. So when a digit moves one place to the left, its value becomes 10 times as much. When it moves one place to the right, its value becomes 110 as much (divided by 10).

For example, the 4 in 4,000 is worth 10 times as much as the 4 in 400.

Official benchmarkExpress how the value of a digit in a multi-digit whole number changes if the digit moves one place to the left or right.

On the FAST test: part of the Grade 4 reporting category Number Sense and Operations with Whole Numbers, which is about 31–37% of the test.

Worked Examples

Worked Example 1

Comparing Two Digits

In 3,550, how does the value of the first 5 compare with the value of the second 5?
  1. 1The first 5 is in the hundreds place: 500.
  2. 2The second 5 is in the tens place: 50.
  3. 3500 = 10 × 50
Answer: The first 5 is worth 10 times as much as the second 5.

Worked Example 2

Moving One Place Right

In 72,000, the 7 moves one place to the right. What is its new value?
  1. 1The 7 is in the ten thousands place: 70,000.
  2. 2One place to the right is the thousands place.
  3. 370,000 ÷ 10 = 7,000
Answer: 7,000

Common Mistakes to Watch For

Thinking a move to the left adds 10

Wrong:Moving the 3 from 30 to 300 adds 10.

Each place to the left multiplies the value by 10: 300 = 10 × 30.

Thinking a move to the right makes a digit worth more

Wrong:The 8 in 8,000 moves right and becomes 80,000.

Moving right divides the value by 10: 8,000 ÷ 10 = 800.

Helpful Math Tip

Write a number on a place value chart, then slide one digit left or right and ask, "How many times as much is it worth now?"

Related Grade 4 Skills

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Independent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.