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Equivalent Decimal Fractions


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The authors
Team Digital

Basics on the topic Equivalent Decimal Fractions

Axel and Tank are in the middle of deep cleaning of their apartment when suddenly, Tank presses a button that opens a trap door! In order to get back home, they need to crack the codes on each door in the secret passage by identifying equivalent decimal fractions.

Transcript Equivalent Decimal Fractions

"Doo dee do do doo (...) OH, what does this button do Axel?!" "Tank don't push that!" Axel and Tank need to get back home. However, they need to crack the codes to unlock the doors. Let's help them by identifying, Equivalent Decimal Fractions. A decimal fraction is a fraction with a denominator that is a power of ten. A power of ten is a number that can be formed by multiplying ten times itself... such as ten (...) or one hundred. Equivalent fractions are fractions that are EQUAL in value. We can compare decimal fractions using base ten blocks. For example, near the first door we see four tenths. This base ten block represents TENTHS, because the whole is broken up into ten equal parts... and since four out of ten parts are shaded the numerator is four. To unlock the door, we need to identify a decimal fraction that is equivalent to four tenths. The denominator of the equivalent fraction is one hundred, because we see HERE the whole is broken up into one hundred equal parts. That means this base ten block represents HUNDREDTHS. In order to identify the numerator, we shade the same VALUE, or amount, as four tenths on the base ten block. How many HUNDREDTHS are shaded in? (...) FORTY, because there are four columns with ten in each shaded. Four tenths is equal to forty hundredths because the same VALUE is shaded in... so Axel and Tank go to the next door. Here, we need to identify a decimal fraction that is equivalent to ninety hundredths. What is the denominator? (...) This whole is divided into tenths, so the denominator is ten. How many tenths do we shade in to make an equivalent fraction? (...) In order to be equivalent, the same VALUE must be shaded in, so we shade in NINE... (...) and write it HERE. Ninety hundredths is equal to nine tenths because the same VALUE is shaded in. Axel and Tank head to the last door. This time, we need to write the fraction represented on the base ten block and THEN find an equivalent decimal fraction. Try solving on your own. Pause the video so you have time to work (...) and press play when you're ready to see the steps for finding the answer! First, write seven tenths HERE because there are seven tenths shaded on the base ten block. Since there are one hundred parts in our whole, write the denominator one hundred HERE. Next shade in seventy hundredths because both blocks need to have the same VALUE in order to be equivalent. Seven tenths is equal to seventy hundredths. Before we see if Axel and Tank have made it back home, let's summarize. Remember (...) we can compare decimal fractions using base ten blocks. In order to identify equivalent decimal fractions, first write the denominator. Second, shade in the same value on the other base ten block. Last, count how much you shaded in, and write the result as the numerator. "Wait this isn't our home (...) but it looks a lot like it!" "Yeah really nice choice on the decor Mrs. Loch Ness Monster, (...) OH what does this button do?!?" "Tank, PLEASE not again!"