find N if N multiplied with
0.35 give 1
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Answer:
This is a complete lesson with instruction & exercises for 5th grade about multiplying decimals by decimals. The interpretation for multiplying a decimal by a decimal is to think of it as taking a fractional part of a decimal number (the symbol × translates to "of"). The lesson compares multiplication by a decimal to scaling & shrinking a stick. Lastly, it shows the common shortcut to decimal multiplication (multiply as if there were no decimal points; the answer has as many decimals as the factors have in total.)
In the video below, I explain the rule for multiplying decimals (put as many decimal digits in the answer as there are in the factors.) I explain where this rule comes from, using fraction multiplication. The lesson continues below the video.
You have learned to think of multiplication by a whole number, such as 3 × 4 or 8 × 0.6, as repeated
addition. However, this concept does not work when neither of the factors is a whole number, as in
0.83 × 1.43 or 2/3 × 7/11. Instead, when you multiply decimals or fractions, think of it as finding
"a certain part of” the other factor. In this sense, the symbol “×” translates to “of.”
Example. 0.1 × 80 means finding one-tenth “of” 80. That is simply 8.
Example. 0.4 × 80 means finding four-tenths “of” 80. Since one-tenth of 80 is 8, then 0.4 of 80 is four times as much, or 32.
Example. 0.02 × 3,000 means finding two-hundredths of 3,000. Since one-hundredth of 3,000 is 30, then 0.02 of 3,000 is two times as much, or 60.
1. Write as a multiplication using a decimal, and solve. Remember, "of" translates into "×". Use the
top problem in each box to help you solve the bottom one.
a. one-tenth of 50
_______ × ______ = _______
b. three-tenths of 50
_______ × ______ = _______
c. one-tenth of 700
______ × _______ = _______
d. four-tenths of 700
______ × _______ = _______
e. one-hundredth of 4,000
_______ × _______ = _______
f. six-hundredths of 4,000
_______ × _______ = _______
2. Solve. Use the top problem in each box to help you solve the bottom one.
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