5th grade · Math · Unit 1 of 14
Numbers to a Million
Read, write and compare big numbers
What your child practices
Place value to 1,000,000: digit values, standard and expanded form, number words, rounding, ordering, and using benchmarks like 500,000 on a number line.
Arizona Academic Standards learning standard: 5.NBT.A.1 · place value in multi-digit numbers
How we explain it
Children can open this short lesson before they practice.
- Each place is worth 10 times the place to its right.
- Read big numbers in groups of three digits: thousands, then ones.
- To compare, start at the left-most place and look for the first difference.
Example: Write four hundred twelve thousand, three hundred five in digits. Thousands group: 412. Ones group: 305. Put them together: 412,305. Answer: 412,305
Numbers to a Million in Arizona
In the Arizona Academic Standards, this is unit 1 of 14 in 5th grade Math, before Multiply.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Source: Arizona Department of Education
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
Which number is closest to 750,000?
- 75,470
- 833,900
- 754,700
- 665,600
754,700
Hint: Find how far each number is from the benchmark. Check the number of digits too: a number with fewer digits is much smaller.
Question 2
In 232 789, what is the value of the digit 3?
- 3000
- 300,000
- 30,000
- 3
30,000
Hint: Name the place of the 3, counting from the right: ones, tens, hundreds, thousands, ten thousands, hundred thousands. The digit is worth 3 of that place.
Question 3
Write this number using digits: four hundred seventy-eight thousand seven hundred four.
answer box
478704
Hint: Split the number at the word “thousand”. Write the thousands part, then the last three digits. Use a 0 to hold any empty place.
Question 4
What number belongs in the box on the number line?
answer box
200000
Hint: The line is split into 10 equal jumps from 0 to 1,000 000, so each jump is 100,000. Count the jumps to the box.
Question 5
Round 881,551 to the nearest ten thousand.
- 882,000
- 890,000
- 880,000
- 900,000
880,000
Hint: Look at the digit just to the right of the ten thousands place. If it is 5 or more, round up; if it is less than 5, round down. Then every place to the right becomes 0.
Question 6
Put these numbers in order from least to greatest.
- 406,173
- 406,317
- 460,137
- 406,137
406,137 → 406,173 → 406,317 → 460,137
Hint: Compare the greatest place first. If those digits match, move one place to the right, and keep going until the digits are different.