Grade 6 Multiplication and Division with Decimals Study Guide
Solve problems involving whole numbers and decimal
numbers.
Represent Decimal Numbers: Be able to represent a decimal number in a place
value chart, expanded form, standard form, and word form. Refer to your problem slips for a review.
Demonstrate an understanding of multiplication and
division of decimals (1-digit whole number multipliers and 1-digit whole number
divisors).
·
For example,
know how to multiply 2.936 x 4 by first estimating, then multiplying without
the decimal, and finally, putting the decimal back on to the product using your
estimation to help you.
·
Example 2:
know how to divide 7.938/2 by dividing without the decimal point (using long
division), and then adding the decimal point by placing it according to how
many digits are before the decimal point in the dividend.
Know how to divide a decimal less than 1 by a whole
number, such as 0.0860/5. You will
need to remember the process for how to divide until there is no decimal (adding
a 0 to the remainder).
Be able to estimate products and quotients using
rounding strategies like front-end
estimation (5.81 x 7 would be changed to 5 x 7), decimal benchmarks (5.81 is
closer to 6 than to 5, so you would round to 6 x 7), and compatible numbers.
Be able to create and solve word problems involving
multiplication and division with decimal numbers.
Understand the following language:
Product –
The answer to a multiplication problem.
Quotient –
The answer to a division problem.
Divisor –
The smaller number in a division problem, the one in which the larger number is
being divided into. For example, in the division problem 18/4, 18 is the number
being divided by the divisor 4.
Dividend –
The larger number in a multiplication problem, the one that is being divided
(18 in the example above).
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