Adding & Subtracting Decimals
Mathematics, Grade 5
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16.58 + 27.8 27.8 – 16.58 Step 1 Step 2 Step 3 Step 4 Step 1 Step 2 Step 3 Step 4 • Line up the decimal points. • Write zeros as place holders, if needed. • Add the hundredths. • Carry (regroup) if needed. • Add the tenths. • Carry (regroup) if needed. 0.62 + 0.34 = 0.96 1.8 – 1.2 = 0.6 Decimal Models Adding Decimals with Grids Adding Decimals Subtracting Decimals Subtracting Decimals with Grids 1.0 one whole (1) 0.1 . 01 1 10 hundredths 1 100 thousandths 1 1000 + + ones tens tenthshundr edths ones tens tenthshundr edths 1 1 1 6 5 8 . 2 7 8 0 4 4 3 8 . + 1 1 6 5 8 . 2 7 8 0 . 3 8 + 1 6 5 8 . 2 7 8 0 . 1 6 5 8 . 2 7 8 0 . 8 • Line up the decimal points. • Write zeros as place holders, if needed. • Regroup if needed. • Subtract the hundredths. • Regroup if needed. • Subtract the tenths. • Regroup if needed. • Subtract the ones, then the tens. • Drag the decimal point straight down. – – ones tens tenthshundr edths ones tens tenthshundr edths 1 7 10 7 10 7 10 6 5 8 . 2 7 8 0 1 1 2 2 . – 1 6 5 8 . 2 7 8 0 . 2 2 – 1 6 5 8 . 2 7 8 0 . 1 6 5 8 . 2 7 8 0 . 2 . . © Copyright NewPath Learning. All Rights Reserved. 93-4404 www.newpathlearning.com Adding & Subtracting Decimals 0.001
16.58 + 27.8 27.8 – 16.58 Step 1 Step 2 Step 3 Step 4 Step 1 Step 2 Step 3 Step 4 • Line up the decimal points. • Write zeros as place holders, if needed. • Add the hundredths. • Carry (regroup) if needed. • Add the tenths. • Carry (regroup) if needed. 0.62 + 0.34 = 0.96 1.8 – 1.2 = 0.6 Decimal Models Adding Decimals with Grids Adding Decimals Subtracting Decimals Subtracting Decimals with Grids 1.0 one whole (1) 0.1 . 01 1 10 hundredths 1 100 thousandths 1 1000 + + ones tens tenthshund redths ones tens tenthshund redths 1 6 5 8 . 2 7 8 0 . + 1 6 5 8 . 2 7 8 0 . + 1 6 5 8 . 2 7 8 0 . 1 6 5 8 . 2 7 8 0 . • Line up the decimal points. • Write zeros as place holders, if needed. • Regroup if needed. • Subtract the hundredths. • Regroup if needed. • Subtract the tenths. • Regroup if needed. • Subtract the ones, then the tens. • Drag the decimal point straight down. – – ones tens tenthshund redths ones tens tenthshund redths 1 6 5 8 . 2 7 8 0 . – 1 6 5 8 . 2 7 8 0 . – 1 6 5 8 . 2 7 8 0 . 1 6 5 8 . 2 7 8 0 . . . © Copyright NewPath Learning. All Rights Reserved. 93-4404 www.newpathlearning.com Adding & Subtracting Decimals 0.001 Key Vocabulary Terms • add • decimal • decimal point • hundredth • regroup • subtract • tenth • thousandth \|xiBAHBDy01634sz\
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