Grade 5 Math: Decimals: Challenge

Hard Level Guide Stretch thinking with multi-step problems, application questions, and deeper reasoning. Decimal Place Value Each place to the right of the decimal point is ten times smaller than the place before it. The tenths place is one part of ten; the hundredths place is one part of one hundred. The digit 3 in 4.37 means three tenths, not three ones. Reading and Writing Decimals Write decimals in standard form, word form, and expanded form. 0.45 can be read as forty-five hundredths or four tenths and five hundredths. Money connects decimals to real life: $2.50 means 2 dollars and 50 hundredths of a dollar. Comparing and Rounding Decimals Compare decimals place by place from left to right. Add trailing zeros to align places: 0.5 equals 0.50. Round to the nearest tenth or hundredth by looking at the next digit. If it is 5 or more, round up. Adding and Subtracting Decimals Line up decimal points before adding or subtracting. Zeros can be added on the right without changing the value. Estimate first to catch misplaced decimal points. In word problems, identify whether the situation requires combining amounts or finding a difference.