NY Next Generation Math NY-5.NBT.2
The Standard
Use whole-number exponents to denote powers of 10. Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students write powers of 10 with whole-number exponents and evaluate them. They explain how multiplying or dividing by those powers changes each digit's place value.
What Mastery Looks Like
- A student knows that 10³ is 1,000 and finds 4.7 × 10² = 470. The student finds 4.7 ÷ 10² = 0.047 and explains the place-value shifts.
Common Misconceptions
- Students may read 10³ as 10 × 3. They may append zeros to a decimal without tracking digit values or shift in the wrong direction when dividing.
How to Assess It
- Ask students to evaluate 10⁴, find 6.25 × 10³ and 625 ÷ 10², and explain one answer using place value.
Lesson moves
Ways to Teach It
Move digit cards across a place-value chart to model multiplication and division by 10, 100, and 1,000.
Ask students why multiplying 0.46 by 100 produces 46 rather than 0.4600.
Play power-of-ten match with exponent cards, standard-form cards, expressions, and products or quotients.
Convert metric measurements whose prefixes differ by powers of 10, using a place-value chart to track the digits.
Free download
Printable NY-5.NBT.2 Worksheet
A ready-to-print activity worksheet aligned to NY-5.NBT.2, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- NY-8.EE.3
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times ...
- NY-4.NBT.5
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the prop...
- NY-3.NBT.3
Multiply one-digit whole numbers by multiples of 10 in the range 10-90 using strategies based on place value and properties of operations.
- NY-4.NBT.1
Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.
Also for this standard:Make a WorksheetMake a QuizMake a Sub Lesson