Number & Operations in Base Ten

Understand the place value system.

5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

Decimal place value

Decimal Place Value

5.NBT.2 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.

Multiply by multiples of 10

Multiply by Multiples of 10

Divide decimals by a multiple of 10

Divide Decimals by a Multiple of 10

5.NBT.3 Read, write, and compare decimals to thousandths.

5.NBT.3.a Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).

Represent decimals

Represent Decimals

Decimals and fractions

Decimals and Fractions

5.NBT.3.b Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Compare decimals

Compare Decimals

Order decimals

Order Decimals

5.NBT.4 Use place value understanding to round decimals to any place.

Round decimals to the nearest whole

Round Decimals to the Nearest Whole

Round decimals to the nearest tenth

Round Decimals to the Nearest Tenth

Round decimals to the nearest hundredth

Round Decimals to the Nearest Hundredth

Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.NBT.5 Fluently multiply multi-digit whole numbers using the standardalgorithm.

2 digit x 2 digit

2 Digit x 2 Digit

3 digit x 2 digit

3 Digit x 2 Digit

5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Divide by 2 digit numbers

Divide by 2 Digit Numbers

Divide by 2 digit numbers with remainder

Divide by 2 Digit Numbers with Remainder

5.NBT.7 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.

Add decimals

Add Decimals

Subtract decimals

Subtract Decimals

Multiply decimals by a multiple of 10

Multiply Decimals by a Multiple of 10

Multiply decimals by a whole

Multiply Decimals by a Whole

Multiply decimals

Multiply Decimals

Divide decimals by a whole

Divide Decimals by a Whole

Decimal division

Decimal Division