Math Games

Grade 6 - Number

Standard 6.N.8 - Solve multiplication equations with decimals.

Included Skills:

Demonstrate an understanding of multiplication and division of decimals (involving 1-digit whole-number multipliers, 1-digit natural number divisors, and multipliers and divisors that are multiples of 10), concretely, pictorially, and symbolically, by
• using personal strategies
• using the standard algorithms
• using estimation
• solving problems

• Estimate a product using front-end estimation (e.g., for 15.205 m x 4, think 15 m x 4, so the product is greater than 60 m), and place the decimal in the appropriate place.
• Estimate a quotient using front-end estimation (e.g., for $26.83 ÷ 4, think 24 ÷ 4, so the quotient is greater than $6), and place the decimal in the appropriate place.
• Predict products and quotients of decimals using estimation strategies.
• Identify and correct errors of decimal point placement in a product or quotient by estimating.
• Solve a problem that involves multiplication and division of decimals using multipliers from 0 to 9 and divisors from 1 to 9.
• Use mental math to determine products or quotients involving decimals when the multiplier or divisor is a multiple of 10 (e.g., 2.47 × 10 = 24.7; 31.9 ÷ 100 = 0.319).
• Model and explain the relationship that exists between an algorithm, place value, and number properties.
• Determine products and quotients using the standard algorithms of vertical multiplication (numbers arranged vertically and multiplied using single digits which are added to form a final product) and long division (the multiples of the divisor are subtracted from the dividend).
• Solve multiplication and division problems in context using personal strategies, and record the process.
• Refine personal strategies, such as mental math, to increase their efficiency when appropriate (e.g., 4.46 ÷ 2 think 446 ÷ 2 = 223, and then use front-end estimation to determine the placement of the decimal 2.23).