
Expanded Form of Decimals
5th grade place value workshop: shift decimals by powers of 10, expand 4.628, order 2.083 to 2.803, and round a 4.856 gram balance reading (5.NBT.1-4).
5.NBT decimals: reading, writing, and comparing decimals to thousandths using place value understanding.

5th grade place value workshop: shift decimals by powers of 10, expand 4.628, order 2.083 to 2.803, and round a 4.856 gram balance reading (5.NBT.1-4).

Place value patterns worksheet: the two 4s in 440, exponent shifts such as 3.8 × 10² and 6,100 ÷ 10², plus Caleb's 5.4 ÷ 10² = 540 error (5.NBT.1-2).

Compare and round decimals in 5th grade: eight >, <, = pairs, a rounding table for 4.386 to 8.054, four sprint times to order, and a mystery decimal near 6.48.

Decimal operations practice: line up 24.65 + 18.79, compute 4.8 × 3.5 and 29.4 ÷ 6, price Maya's notebooks, then correct a misplaced decimal point.

Homework on the standard algorithm: 348 × 24 up to 1,428 × 36, long division such as 3,456 ÷ 32, auditorium seating, and a rice-sack remainder problem.

Matching worksheet for powers of ten: pair 10¹ and friends with values, shift decimals to reach answers like 620 and 0.74, then explain the exponent pattern.
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.”
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.”
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 x 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).”
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.”
5.NBT.4
“Use place value understanding to round decimals to any place.”
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.”
5.NBT.5
“Fluently multiply multi-digit whole numbers using the standard algorithm.”
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.”
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5.NF fraction operations: adding and subtracting fractions with unlike denominators and multiplying fractions.

5.MD measurement: converting among different-sized standard measurement units within a given measurement system.

5.G geometry: graphing points on the coordinate plane to solve real-world and mathematical problems.

5.OA expressions: using parentheses, brackets, or braces in numerical expressions and evaluating expressions containing these symbols.