Math: Numbers & Operations in Base Ten
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.
Video: Understanding Place Value Video: Place Value when Multiplying & Dividing by 10 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. Video: Exponents & Powers of 10 Patterns |
3. Read, write, and compare decimals to thousandths.
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). Video: Write a Decimal in Expanded Form Video: Place Value with Decimals b. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. Video: Comparing Decimals 9.97 & 9.798 Video: Comparing Decimals 156.378 & 156.348 4. Use place value understanding to round decimals to any place. Video: Rounding Decimals to Nearest Tenth Example: Round 5.628 to the the tenths place. The rounding number is 6 (in the tenths place). 2 is to the right of 6 (in the hundredths place). Since 2<5, round down. Answer: 5.6 |