Math  /  Numbers & Operations

QuestionDate *. 3 erewaps af \qquad ternths is 1.5 1.5+3=1.5+3= \qquad b. 5 groups of \qquad hundredths is 0.24 0.24÷6=0.24 \div 6= \qquad c. 5 groups of \qquad thousandths is 0.045 0.045+5=0.045+5= \qquad
Complete the number sentence. Express the quotient in units and then in standard fo a. 936+3=9 \cdot 36+3= \qquad ones ÷3\div 3- \qquad hundredths - 3 == \qquad ones + \qquad hundredths == \qquad b. 36.012÷3=36.012 \div 3= \qquad ones ÷3+\div 3+ \qquad thousandths ÷3\div 3 == \qquad anes - \qquad thousandths == \qquad 3.55÷5=3.55 \div 5= \qquad tenths ÷5+\div 5+ \qquad hundredths ÷5\div 5 3.545÷5=3.545 \div 5= \qquad == \qquad ==

Studdy Solution

STEP 1

1. The expression "groups of" implies multiplication.
2. The term "tenths", "hundredths", and "thousandths" refer to specific decimal places.
3. The final answers should be in standard form, meaning a decimal or integer representation.

STEP 2

1. Solve the problems involving groups of tenths, hundredths, and thousandths.
2. Complete the number sentences by performing the required arithmetic operations.
3. Express the results in standard form units.

STEP 3

For part a, determine the value that when multiplied by 3 gives 1.5. Set up the equation and solve for the unknown.
3unknown tenths=1.5 3 \cdot \text{unknown tenths} = 1.5
unknown tenths=1.53 \text{unknown tenths} = \frac{1.5}{3}
unknown tenths=0.5 \text{unknown tenths} = 0.5

STEP 4

Fill in the blank for part a.
1.5+3=4.5 1.5 + 3 = 4.5

STEP 5

For part b, determine the value that when multiplied by 6 gives 0.24. Set up the equation and solve for the unknown.
6unknown hundredths=0.24 6 \cdot \text{unknown hundredths} = 0.24
unknown hundredths=0.246 \text{unknown hundredths} = \frac{0.24}{6}
unknown hundredths=0.04 \text{unknown hundredths} = 0.04

STEP 6

Fill in the blank for part b.
0.24÷6=0.04 0.24 \div 6 = 0.04

STEP 7

For part c, determine the value that when multiplied by 5 gives 0.045. Set up the equation and solve for the unknown.
5unknown thousandths=0.045 5 \cdot \text{unknown thousandths} = 0.045
unknown thousandths=0.0455 \text{unknown thousandths} = \frac{0.045}{5}
unknown thousandths=0.009 \text{unknown thousandths} = 0.009

STEP 8

Fill in the blank for part c.
0.045+5=5.045 0.045 + 5 = 5.045

STEP 9

For the first part of the second section, solve 936+39 \cdot 36 + 3.
936=324 9 \cdot 36 = 324
324+3=327 324 + 3 = 327

STEP 10

Complete the number sentence:
327÷3=109 ones 327 \div 3 = 109 \text{ ones}

STEP 11

Convert 327 to ones and hundredths:
109 ones+0 hundredths 109 \text{ ones} + 0 \text{ hundredths}

STEP 12

For part b, solve 36.012÷336.012 \div 3.
36.012÷3=12.004 ones 36.012 \div 3 = 12.004 \text{ ones}

STEP 13

Convert to ones and thousandths:
12 ones+0.004 thousandths 12 \text{ ones} + 0.004 \text{ thousandths}

STEP 14

For part c, solve 3.55÷53.55 \div 5.
3.55÷5=0.71 tenths 3.55 \div 5 = 0.71 \text{ tenths}

STEP 15

Convert to tenths and hundredths:
0.7 tenths+0.01 hundredths 0.7 \text{ tenths} + 0.01 \text{ hundredths}

STEP 16

For part d, solve 3.545÷53.545 \div 5.
3.545÷5=0.709 3.545 \div 5 = 0.709

STEP 17

Convert to standard form:
0.709 0.709

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