Suitable for Grades: 5th Grade
CCSS: 5.NBT.A.2, 5.NBT.B.7
CCSS Description: CCSS Description: 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. Use whole‑number exponents to denote powers of 10.
CCSS Description: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
This worksheet follows on from Multiplying and Dividing by Powers ofTen (A), extending the questions to multiplying and dividing by 10^n. Section A focuses on multiplying by positive integer powers of 10, and section B targets dividing by integer powers of 10. Then, sections C and D involve multiplying and then dividing by 0.1, 0.01, and 0.001. Section E concludes the worksheet with some mixed questions. This series of worksheets would lead in very nicely to the teaching of standard form.