Place Value & Rounding

Fifth Grade | Numbers and Operations

Standard: CC.2.1.5.B.1, M05.A-T.1.1.1, M05.A-T.1.1.2, M05.A-T.1.1.3, M05.A-T.1.1.4, M05.A-T.1.1.5 Apply place-value concepts to show an understanding of operations and rounding as they pertain to whole numbers and decimals. Demonstrate an understanding that in a multi-digit number, a digit in one place represents 1/10 of what it represents in the place to its left. Example: Recognize that in the number 770, the 7 in the tens place is 1/10 the 7 in the hundreds place. 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. Example 1: 4 × 102 = 400 Example 2: 0.05 ÷ 103 = 0.00005 . Read and write decimals to thousandths using base-ten numerals, word form, and expanded form. Example: 347.392 = 300 + 40 + 7 + 0.3 + 0.09 + 0.002 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (0.1) + 9 × (0.01) + 2 × (0.001). Compare two decimals to thousandths based on meanings of the digits in each place using >, =, and < symbols. Round decimals to any place (limit rounding to ones, tenths, hundredths, or thousandths place).

I can...

demonstrate an understanding that in a multi-digit number, a digit in one place represents 1/10 of what it represents in the place to its left.
explain patterns in the number of zeros of the product when multiplying a number by powers of 10.
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.
read and write decimals to thousandths using base-ten numerals, word form, and expanded form.
compare two decimals to thousandths based on meanings of the digits in each place using >, =, and < symbols.
round decimals to any place (limit rounding to ones, tenths, hundredths, or thousandths place).

LEARNING SCALE

With help, the student demonstrates partial success at 2.0 and 3.0.

I can recognize or recall specific vocabulary, such as: place value, powers of 10, exponents, tenths, hundredths, thousandths, numerals, word form, and expanded form.

I will perform basic processes, such as: explain relationships between place values; explain algorithms when multiplying; explain how to use exponents; use concrete representations of decimals (drawings, base blocks); explain the meaning of symbols for comparisons; explain how to round decimals.

I can demonstrate an understanding that in a multi-digit number, a digit in one place represents 1/10 of what it represents in the place to its left.

I can explain patterns in the number of zeros of the product when multiplying a number by powers of 10.

I can explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10.

I can use whole-number exponents to denote powers of 10.

I can read and write decimals to thousandths using base-ten numerals, word form, and expanded form.

I can compare two decimals to thousandths based on meanings of the digits in each place using >, =, and < symbols.

I can round decimals to any place (limit rounding to ones, tenths, hundredths, or thousandths place).

SUPPORTING RESOURCES